Preface |
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xi | |
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xiii | |
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Panta Rei: Everything Flows |
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1 | (16) |
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1 | (2) |
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3 | (1) |
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4 | (5) |
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5 | (3) |
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8 | (1) |
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RD in Science and Technology |
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9 | (8) |
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12 | (5) |
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Basic Ingredients: Diffusion |
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17 | (28) |
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17 | (3) |
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Solving Diffusion Equations |
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20 | (11) |
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20 | (6) |
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26 | (5) |
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The Use of Symmetry and Superposition |
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31 | (3) |
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Cylindrical and Spherical Coordinates |
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34 | (4) |
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38 | (7) |
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43 | (2) |
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45 | (16) |
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45 | (5) |
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50 | (1) |
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Ionic Reactions and Solubility Products |
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51 | (1) |
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Autocatalysis, Cooperativity and Feedback |
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52 | (3) |
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55 | (2) |
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57 | (4) |
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59 | (2) |
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Putting It All Together: Reaction---Diffusion Equations and the Methods of Solving Them |
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61 | (32) |
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General Form of Reaction---Diffusion Equations |
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61 | (1) |
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RD Equations that can be Solved Analytically |
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62 | (4) |
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66 | (14) |
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Finite Difference Methods |
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66 | (4) |
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70 | (10) |
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Temporal Discretization and Integration |
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80 | (7) |
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81 | (1) |
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Forward Time Centered Space (FTCS) Differencing |
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81 | (1) |
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Backward Time Centered Space (BTCS) Differencing |
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81 | (1) |
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82 | (1) |
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Alternating Direction Implicit Method in Two and Three Dimensions |
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83 | (1) |
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83 | (1) |
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Operator Splitting Method |
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83 | (1) |
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84 | (2) |
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Dealing with Precipitation Reactions |
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86 | (1) |
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Heuristic Rules for Selecting a Numerical Method |
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87 | (1) |
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87 | (6) |
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90 | (3) |
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Spatial Control of Reaction---Diffusion at Small Scales: Wet Stamping (WETS) |
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93 | (10) |
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94 | (4) |
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98 | (5) |
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Appendix 5A: Practical Guide to Making Agarose Stamps |
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101 | (1) |
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101 | (1) |
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101 | (1) |
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102 | (1) |
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Fabrication by Reaction---Diffusion: Curvilinear Microstructures for Optics and Fluidics |
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103 | (24) |
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Microfabrication: The Simple and the Difficult |
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103 | (2) |
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Fabricating Arrays of Microlenses by RD and WETS |
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105 | (4) |
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Intermezzo: Some Thoughts on Rational Design |
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109 | (2) |
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Guiding Microlens Fabrication by Lattice Gas Modeling |
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111 | (6) |
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Disjoint Features and Microfabrication of Multilevel Structures |
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117 | (4) |
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Microfabrication of Microfluidic Devices |
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121 | (3) |
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124 | (3) |
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124 | (3) |
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Multitasking: Micro- and Nanofabrication with Periodic Precipitation |
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127 | (38) |
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127 | (1) |
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Phenomenology of Periodic Precipitation |
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128 | (2) |
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130 | (7) |
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Microscopic PP Patterns in Two Dimensions |
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137 | (8) |
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Feature Dimensions and Spacing |
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139 | (1) |
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140 | (2) |
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Degree of Gel Crosslinking |
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142 | (1) |
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Concentration of the Outer and Inner Electrolytes |
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142 | (3) |
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Two-Dimensional Patterns for Diffractive Optics |
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145 | (7) |
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Buckling into the Third Dimension: Periodic `Nanowrinkles' |
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152 | (3) |
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Toward the Applications of Buckled Surfaces |
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155 | (3) |
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Parallel Reactions and the Nanoscale |
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158 | (7) |
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160 | (5) |
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Reaction---Diffusion at Interfaces: Structuring Solid Materials |
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165 | (30) |
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Deposition of Metal Foils at Gel Interfaces |
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165 | (13) |
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RD in the Plating Solution: Film Topography |
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167 | (5) |
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RD in the Gel Substrates: Film Roughness |
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172 | (6) |
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Cutting into Hard Solids with Soft Gels |
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178 | (14) |
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178 | (2) |
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180 | (1) |
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Glass and Silicon Etching |
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181 | (1) |
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181 | (5) |
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Microetching Transparent Conductive Oxides, Semiconductors and Crystals |
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186 | (3) |
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Imprinting Functional Architectures into Glass |
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189 | (3) |
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192 | (3) |
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192 | (3) |
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Micro-chameleons: Reaction---Diffusion for Amplification and Sensing |
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195 | (32) |
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Amplification of Material Properties by RD Micronetworks |
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197 | (6) |
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Amplifying Macromolecular Changes using Low-Symmetry Networks |
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203 | (2) |
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Detecting Molecular Monolayers |
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205 | (3) |
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208 | (7) |
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211 | (1) |
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212 | (1) |
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Wave Emission and Mode Switching |
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213 | (2) |
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Extensions: New Chemistries, Applications and Measurements |
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215 | (12) |
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222 | (5) |
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Reaction---Diffusion in Three Dimensions and at the Nanoscale |
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227 | (30) |
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Fabrication Inside Porous Particles |
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228 | (12) |
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Making Spheres Inside of Cubes |
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228 | (2) |
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230 | (5) |
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Fabrication Inside of Complex-Shape Particles |
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235 | (1) |
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`Remote' Exchange of the Cores |
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236 | (2) |
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Self-Assembly of Open-Lattice Crystals |
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238 | (2) |
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Diffusion in Solids: The Kirkendall Effect and Fabrication of Core-Shell Nanoparticles |
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240 | (8) |
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Galvanic Replacement and De-Alloying Reactions at the Nanoscale: Synthesis of Nanocages |
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248 | (9) |
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253 | (4) |
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Epilogue: Challenges and Opportunities for the Future |
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257 | (8) |
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263 | (2) |
Appendix A: Nature's Art |
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265 | (6) |
Appendix B: Matlab Code for the Minotaur (Example 4.1) |
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271 | (4) |
Appendix C: C++ Code for the Zebra (Example 4.3) |
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275 | (8) |
Index |
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283 | |