Preface |
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1 | (2) |
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Symmetry Breaking and Defects |
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3 | (34) |
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33 | (1) |
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34 | (3) |
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Liquid 4He and Its Superfluidity |
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37 | (46) |
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76 | (1) |
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76 | (7) |
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The Role of Topological Defects in Cosmology |
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83 | (28) |
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107 | (4) |
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Cosmic Defects and Particle Physics Constraints |
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111 | (28) |
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125 | (1) |
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125 | (4) |
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129 | (1) |
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Friction Dominated Strings |
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130 | (1) |
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130 | (4) |
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134 | (3) |
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137 | (2) |
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Introduction to the Modern Theory of Phase Transitions |
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139 | (22) |
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Phase Transitions: From Early Universe to Ice Cube |
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139 | (2) |
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Spontaneous Symmetry Breaking |
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141 | (1) |
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Symmetry and Phase Transitions. Order Parameter |
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142 | (2) |
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143 | (1) |
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144 | (2) |
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Power laws - Saint Graal of the complex system science |
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146 | (2) |
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Company size distribution |
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146 | (1) |
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146 | (1) |
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147 | (1) |
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147 | (1) |
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147 | (1) |
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147 | (1) |
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148 | (2) |
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150 | (7) |
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Renormalization group transformation |
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150 | (1) |
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151 | (1) |
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152 | (1) |
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Renormalization group techniques |
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152 | (1) |
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Real-space renormalization |
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153 | (2) |
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155 | (1) |
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Momentum-space renormalization |
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156 | (1) |
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157 | (4) |
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158 | (3) |
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Defects in Liquid Crystals: Surface and Interfacial Anchoring Effects |
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161 | (36) |
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161 | (2) |
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Experimental observations of LC structures |
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163 | (4) |
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Polarizing Microscopy of Liquid Crystals |
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163 | (4) |
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167 | (13) |
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Topological classification |
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167 | (4) |
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171 | (1) |
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172 | (4) |
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Surface anchoring phenomena; Equilibrium point defects in nematic droplets |
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176 | (4) |
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Defects in SmA and other Lamellar Systems |
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180 | (13) |
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180 | (3) |
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183 | (6) |
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Focal Conic Domains: Surface facetting and Grain boundaries |
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189 | (4) |
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193 | (4) |
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193 | (1) |
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193 | (4) |
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Scaling Laws for Fluxon Formation in Annular Josephson Tunnel Junctions |
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197 | (12) |
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Scaling Laws for Fluxon Production |
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197 | (2) |
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197 | (1) |
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The Scaling Predictions For Fluxons |
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198 | (1) |
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199 | (6) |
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199 | (1) |
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200 | (3) |
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203 | (2) |
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205 | (1) |
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Comments, Future Experiments and Conclusions |
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206 | (3) |
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207 | (1) |
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207 | (2) |
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Nonholonomic Field Theory of Vortices and Defect and their Physe Transitions |
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209 | (64) |
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209 | (2) |
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Phase Transitions in Nambu-Goldstone Systems |
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211 | (3) |
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Superfluid 4He and Superconductors |
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214 | (22) |
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214 | (2) |
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216 | (1) |
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217 | (1) |
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Interaction Energy between Vortices |
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218 | (1) |
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Physical Jumping Surfaces |
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218 | (1) |
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219 | (3) |
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222 | (3) |
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Disorder Theory of Superconductor |
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225 | (3) |
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228 | (4) |
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Order of Superconducting Phase Transition---Tricritical Point |
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232 | (1) |
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233 | (3) |
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Abelian Quark Confinement |
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236 | (8) |
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239 | (5) |
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244 | (16) |
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244 | (1) |
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245 | (1) |
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246 | (1) |
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Interaction Energy between Vortices |
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247 | (1) |
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Physical Jumping Surfaces |
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247 | (1) |
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248 | (2) |
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250 | (3) |
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Disorder Theory of Ginzburg-Superconductor |
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253 | (2) |
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255 | (4) |
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Order of Superconducting Phase Transition---Tricritical Point |
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259 | (1) |
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260 | (1) |
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260 | (8) |
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Abelian Quark Confinement |
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268 | (5) |
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272 | (1) |
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272 | (1) |
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Vortices and Flat Directions: the Uses of Bogomolnyi Bounds |
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273 | (14) |
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273 | (1) |
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Energy bounds for topological defects |
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274 | (2) |
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Bogomolnyi bounds for Abrikosov-Nielsen-Olesen vortices |
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276 | (2) |
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278 | (1) |
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D--term supersymmetric QED |
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279 | (2) |
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Bogomolnyi bounds, supersymmetry and fermion zero modes |
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281 | (3) |
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284 | (3) |
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284 | (3) |
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Evolution of Local Vortices and Interfaces |
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287 | (26) |
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287 | (1) |
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Simple example - kink in one spatial dimension |
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288 | (4) |
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Vortex in the Abelian Higgs model |
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292 | (9) |
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Evolution of interface in a dissipative system |
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301 | (8) |
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309 | (4) |
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311 | (2) |
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Non-Equilibrium Mott Transition in a lattice of Bose-Einstein condensates |
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313 | (22) |
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313 | (2) |
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Josephson junction arrays |
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315 | (2) |
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317 | (1) |
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318 | (3) |
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Adiabatic transition: τQ → ∞ |
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319 | (1) |
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Instantaneous transition: τQ → 0 |
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319 | (1) |
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319 | (2) |
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321 | (4) |
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323 | (2) |
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Commensurate versus non-commensurate |
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325 | (1) |
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325 | (2) |
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From superfluid to insulating phase |
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327 | (3) |
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330 | (5) |
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331 | (1) |
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331 | (1) |
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332 | (3) |
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Spontaneous Breakdown of chiral symmetry in QCD |
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335 | (32) |
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335 | (2) |
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337 | (4) |
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341 | (6) |
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Instantons - defects of the vacuum |
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347 | (3) |
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Spectral universal fluctuations in the QCD |
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350 | (3) |
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353 | (4) |
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357 | (10) |
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360 | (4) |
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364 | (3) |
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367 | (14) |
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367 | (1) |
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368 | (1) |
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369 | (12) |
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374 | (2) |
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Formation of domain walls |
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376 | (2) |
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378 | (1) |
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378 | (3) |
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Phenomenology of Effective Gravity |
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381 | (1) |
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381 | (1) |
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Gravity as perturbation of quantum vacuum |
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382 | (1) |
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Einstein theory in standard formulation |
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382 | (1) |
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Cosmological constant as vacuum energy |
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383 | (1) |
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Sakharov gravity as elasticity of quantum vacuum |
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384 | (1) |
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Conservation of energy and momentum |
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384 | (1) |
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Three components of `cosmic fluid' |
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385 | (1) |
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Induced cosmological constant |
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385 | (1) |
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Gibbs-Duhem relation and cosmological constant |
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386 | (1) |
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Cosmological constant from vacuum perturbations |
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387 | (1) |
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Robertson-Walker metric and its energy momentum tensor |
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388 | (1) |
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388 | (1) |
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Energy-momentum tensor for gravitational field |
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388 | (1) |
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389 | (1) |
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Equation of state for gravitational field |
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389 | (1) |
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Einstein solution from phenomenology |
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389 | (1) |
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de Sitter solution as a thermodynamic equilibrium state |
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390 | (1) |
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Phenomenology of Godel Universe |
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391 | (1) |
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391 | (1) |
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Spin susceptibility of the vacuum |
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392 | (1) |
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Equation of state for the gravitational field and equilibrium state |
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393 | (1) |
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Modification of Einstein equation and relaxation of the vacuum energy |
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394 | (1) |
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Cosmological constant as evolving parameter |
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394 | (1) |
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Dissipation in Einstein equation |
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395 | (1) |
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Cosmological constant as integration constant |
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396 | (1) |
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Flat Universe with two relaxation parameters |
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397 | (1) |
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Relaxation after cosmological phase transition |
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397 | (1) |
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Dark energy as dark matter |
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398 | (1) |
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399 | (1) |
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One energy and momentum of gravitational waves |
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399 | (3) |
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402 | (1) |
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403 | (1) |
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403 | |