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Hybrid Quantum/Classical Modeling of Material Systems: The ``Learn on the Fly'' Molecular Dynamics Scheme |
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1 | (24) |
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1 | (1) |
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2 | (8) |
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2 | (2) |
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Evaluation of the QM Forces |
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4 | (1) |
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5 | (2) |
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The LOTF Predictor-Corrector Scheme |
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7 | (3) |
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Selection of the QM Region: An Hysteretic Algorithm |
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10 | (5) |
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A Screw Dislocation Study |
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11 | (1) |
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12 | (3) |
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Towards Chemical Complexity: Hydrogen-Induced Platelets in Silicon |
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15 | (10) |
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The Atom-Resolved Stress Tensor |
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18 | (3) |
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21 | (4) |
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Multiscale Molecular Dynamics and the Reverse Mapping Problem |
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25 | (36) |
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25 | (5) |
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Atomistic and Coarse-Grained Molecular Dynamics |
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28 | (1) |
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Mapping Between Different Representations, or the Reverse Mapping Problem |
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29 | (1) |
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Adaptive Multiscale Molecular Dynamics |
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30 | (13) |
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Stage 1: Coupling Atomistic and Coarse-Grained Regions |
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31 | (6) |
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37 | (1) |
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Stage 2: Freezing the Intra-Bead Motions |
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38 | (2) |
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Case Study 1: Liquid Methane |
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40 | (2) |
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Other Adaptive Multiscale Implementations |
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42 | (1) |
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Reverse Mapping Through Rigid Body Rotation |
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43 | (10) |
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Rigid Body Rotational Optimization |
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44 | (3) |
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Rigid Body Rotational Dynamics |
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47 | (1) |
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Coupling Between the Rotational Dynamics and Coarse-Grained Molecular Dynamics |
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48 | (2) |
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Case Study 2: Polyethylene Chain |
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50 | (3) |
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Combining Rotational Reverse Mapping with Hybrid MD |
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53 | (4) |
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Case Study 3: Hybrid Simulation of a Polyethylene Chain |
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54 | (3) |
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57 | (4) |
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58 | (3) |
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Transition Path Sampling Studies of Solid-Solid Transformations in Nanocrystals under Pressure |
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61 | (24) |
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Rare Events in Computer Simulations |
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61 | (3) |
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64 | (10) |
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The Transition Path Ensemble |
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64 | (2) |
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Monte Carlo in Trajectory Space |
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66 | (3) |
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69 | (2) |
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Calculating Rate Constants |
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71 | (3) |
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A TPS Algorithm for Nanocrystals in a Pressure Bath |
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74 | (4) |
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74 | (3) |
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77 | (1) |
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The Wurtzite to Rocksalt Transformation in CdSe Nanocrystals |
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78 | (3) |
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Straightforward MD Simulations |
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79 | (2) |
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TPS Reveals the Main Mechanism |
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81 | (1) |
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81 | (4) |
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82 | (3) |
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Nonequilibrium Molecular Dynamics and Multiscale Modeling of Heat Conduction in Solids |
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85 | (50) |
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85 | (2) |
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Molecular Dynamics and its Applicability to the Simulation of Heat Transport |
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87 | (12) |
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Introduction to Equilibrium MD |
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87 | (2) |
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89 | (1) |
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90 | (1) |
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The Quantum Model of Phonon Heat Transport |
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91 | (4) |
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95 | (3) |
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98 | (1) |
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Nonequilibrium Molecular Dynamics |
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99 | (10) |
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100 | (1) |
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100 | (6) |
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106 | (3) |
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Isothermal Concurrent Multiscale Methods |
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109 | (13) |
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111 | (4) |
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Coarse-Grained Thermal Properties |
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115 | (2) |
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Boundary Conditions for the Atomistic/Continuum Interface |
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117 | (4) |
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Isothermal Dynamic Multiscale Models |
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121 | (1) |
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Non-Isothermal Concurrent Multiscale Methods |
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122 | (8) |
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Quasi-Static Phonon Models for Insulators |
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123 | (3) |
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Dynamic Phonon Models for Insulators |
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126 | (1) |
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Quasi-Static Models for Metals |
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127 | (1) |
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Dynamic Coarse-Grained Models for Metals |
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128 | (1) |
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129 | (1) |
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130 | (5) |
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A Multiscale Methodology to Approach Nanoscale Thermal Transport |
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135 | (16) |
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135 | (3) |
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136 | (1) |
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Phonon Behavior Through Acoustic Waves |
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136 | (1) |
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Strategies to Modulate the Interfacial Resistance |
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137 | (1) |
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Role of Surface Modifications |
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137 | (1) |
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138 | (1) |
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Multiscale Investigations |
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139 | (7) |
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Atomistic and Multiscale Simulations |
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139 | (2) |
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Molecular Dynamics (MD) Simulations |
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141 | (1) |
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Thermal Lattice Boltzmann Method (LBM) |
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142 | (1) |
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Hybrid Multiscale Methodology |
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143 | (1) |
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144 | (2) |
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146 | (5) |
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146 | (5) |
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Multiscale Modeling of Contact-Induced Plasticity in Nanocrystalline Metals |
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151 | (22) |
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151 | (3) |
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Atomistic Modeling of Nanoscale Contact in Nanocrystalline Films |
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154 | (7) |
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155 | (1) |
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Modeling of Spherical/Cylindrical Contact in Nanocrystalline Metals |
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156 | (2) |
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Calculations of Local Stresses and Mean Contact Pressures |
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158 | (2) |
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Tools for the Visualization of Defects and Grain Boundaries |
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160 | (1) |
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Effects of Interatomic Potentials on Equilibrium Microstructures |
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161 | (3) |
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Effects of a Grain Boundary Network on Incipient Plasticity During Nanoscale Contact |
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164 | (2) |
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Mechanisms of Grain Boundary Motion During Contact Plasticity |
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166 | (4) |
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170 | (3) |
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171 | (2) |
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Silicon Nanowires: From Empirical to First Principles Modeling |
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173 | (20) |
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173 | (3) |
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Methodological Considerations |
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176 | (4) |
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177 | (1) |
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178 | (2) |
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Structural Properties: Application of Empirical Methods |
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180 | (4) |
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Morphology of Thin Silicon Nanowires: Application of Tight Binding and First Principles Methods |
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184 | (4) |
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188 | (5) |
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189 | (4) |
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Multiscale Modeling of Surface Effects on the Mechanical Behavior and Properties of Nanowires |
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193 | (38) |
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193 | (3) |
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196 | (12) |
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Continuum Mechanics Preliminaries |
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196 | (1) |
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Surface and Bulk Energy Densities |
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197 | (2) |
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Formulation for Embedded Atom Method/FCC Metals |
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199 | (4) |
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Formulation for Diamond Cubic Lattices |
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203 | (5) |
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Finite Element Formulation and Implementation |
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208 | (2) |
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208 | (1) |
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Finite Element Eigenvalue Problem for Nanowire Resonant Frequencies |
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209 | (1) |
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Applications of Surface Cauchy-Born Model |
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210 | (1) |
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Direct Surface Cauchy-Born/Molecular Statics Comparison |
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210 | (2) |
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Surface Stress Effects on the Resonant Properties of Silicon Nanowires |
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212 | (7) |
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Constant Cross Sectional Area |
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215 | (2) |
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217 | (1) |
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Constant Surface Area to Volume Ratio |
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218 | (1) |
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219 | (4) |
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221 | (2) |
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Conclusions and Perspectives |
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223 | (8) |
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224 | (7) |
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Predicting the Atomic Configuration of 1- and 2-Dimensional Nanostructures via Global Optimization Methods |
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231 | (24) |
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232 | (2) |
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Reconstruction of Silicon Surfaces as a Problem of Global Optimization |
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234 | (9) |
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The Parallel-Tempering Monte Carlo |
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235 | (4) |
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239 | (2) |
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Selected Results on Si(114) |
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241 | (2) |
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The Structure of Freestanding Nanowires |
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243 | (7) |
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A Genetic Algorithm for 1-D Nanowire Systems |
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243 | (3) |
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Magic Structures of H-Passivated Si-[ 110] Nanowires |
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246 | (1) |
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Growth of 1-D Nanostructures into Global Minima Under Radial Confinement |
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247 | (3) |
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250 | (5) |
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251 | (4) |
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Atomic-Scale Simulations of the Mechanical Behavior of Carbon Nanotube Systems |
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255 | (42) |
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255 | (2) |
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257 | (7) |
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257 | (3) |
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260 | (4) |
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Mechanical Behavior of Nanotubes |
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264 | (27) |
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265 | (6) |
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271 | (5) |
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276 | (4) |
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280 | (11) |
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291 | (6) |
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292 | (5) |
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Stick-Spiral Model for Studying Mechanical Properties of Carbon Nanotubes |
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297 | (26) |
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297 | (1) |
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Carbon Nanotubes and Their Mechanical Properties |
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298 | (4) |
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298 | (2) |
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Mechanical Properties of CNTs |
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300 | (1) |
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Theoretical Modeling on Geometry Dependent Mechanical Properties of CNTs |
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300 | (2) |
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Stick-Spiral Model For Carbon Nanotubes |
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302 | (13) |
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302 | (2) |
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Governing Equations of the Stick-Spiral Model |
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304 | (2) |
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Linear Stick-Spiral Model and its Applications |
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306 | (4) |
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Nonlinear Stick-Spiral Model and its Applications |
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310 | (5) |
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315 | (8) |
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317 | (6) |
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Potentials for van der Waals Interaction in Nano-Scale Computation |
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323 | (12) |
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323 | (1) |
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Potentials for van der Waals Interaction |
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324 | (1) |
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The Lennard-Jones Potential |
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324 | (1) |
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The Registry-Dependent Interlayer Potential |
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324 | (1) |
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325 | (2) |
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Comparison Between the Two Potentials |
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327 | (5) |
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On the Lattice Registry Effect |
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327 | (2) |
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On the Deformation of Carbon Nanotubes |
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329 | (3) |
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332 | (3) |
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332 | (3) |
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Electrical Conduction in Carbon Nanotubes under Mechanical Deformations |
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335 | (32) |
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335 | (4) |
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339 | (6) |
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340 | (2) |
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Initial Internal Stress State |
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342 | (1) |
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Construction of Special Interaction Elements |
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343 | (1) |
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Model of the Inter-Layer Shear Resistance |
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344 | (1) |
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Electrical Transport Model |
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344 | (1) |
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345 | (18) |
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345 | (1) |
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Tube-Tube-Substrate Interaction |
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346 | (1) |
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Deformation of MWNTs Under Bending |
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347 | (4) |
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Laterally-Squeezed (8, 8) SWNT |
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351 | (2) |
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353 | (1) |
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Simulation of Laboratory Experiments on a MWNT |
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354 | (2) |
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Effect of the Outer Diameter on the Conductance of MWNTs Under Bending |
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356 | (4) |
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Effect of the Outer Diameter on the Conductance of MWNTs Under Stretching |
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360 | (1) |
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Effect of Current Saturation - Non-Linear I-V Response |
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361 | (2) |
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363 | (4) |
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363 | (4) |
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Multiscale Modeling of Carbon Nanotubes |
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367 | (22) |
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367 | (2) |
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Multiscale Coupling Approaches |
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369 | (3) |
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369 | (1) |
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370 | (1) |
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371 | (1) |
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372 | (2) |
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An Atomic Simulation Method |
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374 | (2) |
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A Higher-Order Continuum Model |
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376 | (5) |
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Higher-Order Gradient Continuum |
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377 | (2) |
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Constitutive Relationship |
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379 | (1) |
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Mesh-Free Numerical Simulation |
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380 | (1) |
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Multiscale Coupling Scheme |
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381 | (2) |
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Multiscale Computational Examples |
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383 | (3) |
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383 | (1) |
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Tensile Failure of SWCNTs with a Single-Atom Vacancy Defect |
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384 | (2) |
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386 | (3) |
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387 | (2) |
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Quasicontinuum Simulations of Deformations of Carbon Nanotubes |
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389 | (32) |
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389 | (2) |
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Quasicontinuum Method for Carbon Nanotubes |
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391 | (16) |
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Deformations of Single-Walled CNTs |
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392 | (2) |
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Bravais Multilattice and Inner Displacement |
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394 | (2) |
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396 | (2) |
|
Summation and Minimization of Energy |
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398 | (4) |
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402 | (1) |
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Deformation of Multiwalled Carbon Nanotubes (MWCNTs) |
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402 | (1) |
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403 | (4) |
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QC Method for CNTS by Use of Variable-Node Elements |
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407 | (6) |
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Variable Node Elements for QC |
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407 | (4) |
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411 | (2) |
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413 | (8) |
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419 | (2) |
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Electronic Properties and Reactivities of Perfect, Defected, and Doped Single-Walled Carbon Nanotubes |
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421 | (52) |
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421 | (1) |
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422 | (1) |
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423 | (5) |
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First-Principles Calculations |
|
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423 | (1) |
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Semiempirical Quantum Mechanical Methods |
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424 | (2) |
|
Density-Functional Theory |
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|
426 | (1) |
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426 | (1) |
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Molecular Dynamical Simulations |
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|
427 | (1) |
|
Single-Walled Carbon Nanotubes |
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428 | (3) |
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428 | (3) |
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431 | (1) |
|
Vacancy-Defected Fullerenes and Swcnts |
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431 | (14) |
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Vacancy-Defected Fullerenes |
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432 | (7) |
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439 | (6) |
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445 | (8) |
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445 | (1) |
|
Ni-, Pd-, and Sn-Doped SWCNTs |
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445 | (3) |
|
Chalcogen Se- and Te-Doped SWCNT |
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|
448 | (1) |
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448 | (3) |
|
Gas Adsorptions on Pt-Doped SWCNTs |
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451 | (2) |
|
Chemical Reactions of Vacancy-Defected SWCNTs |
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|
453 | (11) |
|
Computational Details and Model Selection |
|
|
453 | (1) |
|
Chemical Reaction of NO with Vacancy-Defected SWCNT |
|
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454 | (3) |
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Chemical Reaction of O3 with Vacancy-Defected SWCNT |
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|
457 | (7) |
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464 | (9) |
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465 | (8) |
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Multiscale Modeling of Biological Protein Materials - Deformation and Failure |
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473 | (62) |
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473 | (6) |
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Nanomechanics of Protein Materials: Challenges and Opportunities |
|
|
475 | (1) |
|
Strategy of Investigation |
|
|
476 | (1) |
|
|
477 | (2) |
|
Transfer from Biological Protein Materials to Synthetic Materials |
|
|
479 | (1) |
|
Atomistic Simulation Methods |
|
|
479 | (18) |
|
Molecular Dynamics Formulation |
|
|
479 | (3) |
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|
482 | (2) |
|
|
484 | (2) |
|
Coarse-Graining Approaches of Protein Structures |
|
|
486 | (11) |
|
Theoretical Strength Models of Protein Constituents |
|
|
497 | (16) |
|
Strength of a Single Bond |
|
|
497 | (3) |
|
Strength of Complex Molecular Bonds |
|
|
500 | (5) |
|
Size Effects in H-Bond Clusters |
|
|
505 | (1) |
|
Asymptotic Strength Model for Alpha Helix Protein Domains |
|
|
506 | (7) |
|
Complementary Experimental Methods |
|
|
513 | (2) |
|
Structural Characterization |
|
|
513 | (1) |
|
Manipulation and Mechanical Testing |
|
|
513 | (2) |
|
Synthesis Methods for Hierarchical Materials |
|
|
515 | (1) |
|
De Novo Design of Bioinspired and Biomimetic Nanomaterials |
|
|
515 | (7) |
|
Development of Bioinspired Metallic Nanocomposites |
|
|
518 | (1) |
|
Nanostructure Design Effects Under Tensile and Shock Loading |
|
|
519 | (2) |
|
Outlook and Opportunities |
|
|
521 | (1) |
|
Discussion and Conclusion |
|
|
522 | (13) |
|
|
524 | (11) |
|
Computational Molecular Biomechanics: A Hierarchical Multiscale Framework with Applications to Gating of Mechanosensitive Channels of Large Conductance |
|
|
535 | (22) |
|
|
|
|
535 | (1) |
|
Brief Overview of Mechanosensitive (Ms) Channels |
|
|
536 | (5) |
|
Brief Overview of Mechanosensitive (Ms) Channels |
|
|
536 | (3) |
|
Brief Overview of Mechanosensitive (Ms) Channels |
|
|
539 | (1) |
|
Brief Overview of Mechanosensitive (Ms) Channel |
|
|
540 | (1) |
|
Continuum-Based Approach: Model and Methods for Studying Mscl |
|
|
541 | (2) |
|
Gating Mechanisms of Mscl and Insights for Mechanotransduction |
|
|
543 | (9) |
|
Effect of Different Loading Modes |
|
|
543 | (5) |
|
Effects of Structural Motifs |
|
|
548 | (1) |
|
Co-operativity of MS Channels |
|
|
549 | (2) |
|
Large Scale Simulations of Lab Experiments |
|
|
551 | (1) |
|
Future Look and Improvements of Continuum Framework |
|
|
552 | (2) |
|
|
554 | (3) |
|
|
555 | (2) |
|
Out of Many, One: Modeling Schemes for Biopolymer and Biofibril Networks |
|
|
557 | (46) |
|
|
|
|
|
|
557 | (2) |
|
|
559 | (8) |
|
|
559 | (2) |
|
|
561 | (2) |
|
The Mechanical Behavior of Biopolymers |
|
|
563 | (4) |
|
Network Imaging, Extraction, and Generation |
|
|
567 | (5) |
|
|
567 | (1) |
|
|
568 | (1) |
|
|
569 | (1) |
|
Network Generation via Energy Minimization |
|
|
570 | (2) |
|
General Modeling Approaches for Biopolymer Networks |
|
|
572 | (10) |
|
|
572 | (1) |
|
|
573 | (1) |
|
|
574 | (4) |
|
|
578 | (1) |
|
Bridging Scales - Multiscale Behavior of Networks |
|
|
578 | (4) |
|
Applications to Biopolymers |
|
|
582 | (6) |
|
|
582 | (1) |
|
Microtubules, IFs, and the Cytoskeleton |
|
|
583 | (1) |
|
|
584 | (1) |
|
|
585 | (3) |
|
|
588 | (1) |
|
Fibronectin, Laminin, and the ECM |
|
|
588 | (1) |
|
|
588 | (1) |
|
|
589 | (14) |
|
|
591 | (12) |
Index |
|
603 | |