Statistical physics:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Newcastle upon Tyne
Cambridge Scholars Publishing
2021
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | vii, 324 Seiten Diagramme |
| ISBN: | 9781527574496 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Contents 1 2 Preface 1 Introduction 5 2.1 2.2 2.3 2.4 3 Mechanics......................................................................... Electromagnetism............................................................ Relativity......................................................................... Quantum Mechanics...................................................... 2.4.1 Equation of motion.............................................. 2.4.2 Uncertainty principle........................................... 2.4.3 Schroedinger equation........................................ 2.4.4 Quasi-classical Quantum Mechanics............... 2.4.5 Measurement process........................................... 2.4.6 The limits of the Quantum Mechanics............. 2.5 Statistical Physics......................................................... 2.6 Elasticity and Fluids...................................................... 2.7 Physical Kinetics............................................................ 2.8 Quantum Field Theory................................................... 2.9 Boson Quantum Electrodynamics................................. 2.10 Gravitational field ......................................................... 2.11 Concluding remarks...................................................... 5 6 12 15 19 22 26 29 31 33 34 39 42 47 51 55 57 Statistical Physics 59 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 Matter............................................................................... Volume and pressure....................................................... Temperature and
entropy............................................. Thermodynamic potentials .......................................... Statistical distribution................................................... Ideal classical gas............................................................. Particle distribution....................................................... Interaction. Particle density.......................................... External field................................................................... v 59 60 61 64 66 72 74 77 82
Contents 3.10 3.11 3.12 3.13 3.14 4 Dimensionality Effects 4.1 4.2 4.3 4.4 4.5 5 99 123 Ising critical temperature.............................................. 123 Ising mean field................................................................ 128 Spherical model................................................................ 134 Bose-Einstein condensation........................................... 141 Superfluid spectrum of He4........................................... 147 On the impossibility of thephase transitions .... 150 On condensation and phasetransitions.......................... 158 Statistical Motion 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 84 85 89 91 94 Low-dimensional solids.................................................... 99 Fermions and bosons in twodimensions...................... 109 Electrons in magnetic field............................................. 112 Fermions in a slab.......................................................... 118 Charged bosons in magneticfield................................... 121 Phase Transitions 5.1 5.2 5.3 5.4 5.5 5.6 5.7 6 Energy and time scale.................................................... Fluids, solids, sound........................................................ Quantum-mechanicalfluid................................................ Elasticity and fluids........................................................ Physical Kinetics.............................................................. 161 Statistical motion.............................................................. 161 Diffusion
equation........................................................... 170 Quantum of viscosity........................................................ 172 Drag force.......................................................................... 178 Defects in solids................................................................. 184 Black holes....................................................................... 185 Turbulence....................................................................... 189 Entropy of earthquakes ..................................................... 204 6.8.1 Introduction .......................................................... 204 6.8.2 Gutenberg-Richter statisticaldistributions . . . 205 6.8.3 Fitting the data .................................................... 208 6.8.4 Entropy of earthquakes........................................ 210 6.8.5 Shannon entropy.....................................................212 6.8.6 Fluctuations ........................................................... 215 6.8.7 Analysis of Vrancea seismic activity............... 217 vi
Contents 6.9 7 Condensed Matter 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8 Weather dynamics............................................................. 221 Appendix 8.1 8.2 Index 225 van der Waals equation.................................................... 225 Gas mixture......................................................................... 230 Ferroelectricity................................................................... 235 7.3.1 Hysteresis..................................................... 235 7.3.2 Structural anomalies in ВаТіОз.............. 240 Colloids................................................................................ 243 7.4.1 Introduction .......................................................... 243 7.4.2 Plasma model............................................... 247 7.4.3 Half-space..................................................... 250 7.4.4 Material interface. The medium ......................... 252 7.4.5 Sphere............................................................255 7.4.6 Dynamics of a neutral colloid.................... 256 7.4.7 Charged colloids......................................... 258 Electrolytes......................................................................... 266 Condensation of matter.................................................... 278 Semi-infinite solid................................................................ 289 Hadronization of the quark-gluon plasma......................293 7.8.1 Atomic nucleus............................................ 293 7.8.2 Nuclear quark-gluon plasma. Ignition threshold
energy............................................................ 294 7.8.3 Hot and dense quark-gluon plasma........... 296 7.8.4 Hadronization. Classical statistics........... 298 7.8.5 Hadronization. Transition temperature and the hadronic yield................................................ 300 7.8.6 Appendix 1. The viriai, free nucleons, and mass formula......................................................... 306 7.8.7 Appendix 2. Statistical equilibrium and ther malization 308 Phase diagram of Quantum Chromodynamics............309 317 Central limit theorem....................................................... 317 Replacing sums by integrals.............................................. 318 323
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| adam_txt |
Contents 1 2 Preface 1 Introduction 5 2.1 2.2 2.3 2.4 3 Mechanics. Electromagnetism. Relativity. Quantum Mechanics. 2.4.1 Equation of motion. 2.4.2 Uncertainty principle. 2.4.3 Schroedinger equation. 2.4.4 Quasi-classical Quantum Mechanics. 2.4.5 Measurement process. 2.4.6 The limits of the Quantum Mechanics. 2.5 Statistical Physics. 2.6 Elasticity and Fluids. 2.7 Physical Kinetics. 2.8 Quantum Field Theory. 2.9 Boson Quantum Electrodynamics. 2.10 Gravitational field . 2.11 Concluding remarks. 5 6 12 15 19 22 26 29 31 33 34 39 42 47 51 55 57 Statistical Physics 59 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 Matter. Volume and pressure. Temperature and
entropy. Thermodynamic potentials . Statistical distribution. Ideal classical gas. Particle distribution. Interaction. Particle density. External field. v 59 60 61 64 66 72 74 77 82
Contents 3.10 3.11 3.12 3.13 3.14 4 Dimensionality Effects 4.1 4.2 4.3 4.4 4.5 5 99 123 Ising critical temperature. 123 Ising mean field. 128 Spherical model. 134 Bose-Einstein condensation. 141 Superfluid spectrum of He4. 147 On the "impossibility" of thephase transitions . 150 On condensation and phasetransitions. 158 Statistical Motion 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 84 85 89 91 94 Low-dimensional solids. 99 Fermions and bosons in twodimensions. 109 Electrons in magnetic field. 112 Fermions in a slab. 118 Charged bosons in magneticfield. 121 Phase Transitions 5.1 5.2 5.3 5.4 5.5 5.6 5.7 6 Energy and time scale. Fluids, solids, sound. Quantum-mechanicalfluid. Elasticity and fluids. Physical Kinetics. 161 Statistical motion. 161 Diffusion
equation. 170 Quantum of viscosity. 172 Drag force. 178 Defects in solids. 184 Black holes. 185 Turbulence. 189 Entropy of earthquakes . 204 6.8.1 Introduction . 204 6.8.2 Gutenberg-Richter statisticaldistributions . . . 205 6.8.3 Fitting the data . 208 6.8.4 Entropy of earthquakes. 210 6.8.5 Shannon entropy.212 6.8.6 Fluctuations . 215 6.8.7 Analysis of Vrancea seismic activity. 217 vi
Contents 6.9 7 Condensed Matter 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8 Weather dynamics. 221 Appendix 8.1 8.2 Index 225 van der Waals equation. 225 Gas mixture. 230 Ferroelectricity. 235 7.3.1 Hysteresis. 235 7.3.2 Structural anomalies in ВаТіОз. 240 Colloids. 243 7.4.1 Introduction . 243 7.4.2 Plasma model. 247 7.4.3 Half-space. 250 7.4.4 Material interface. The medium . 252 7.4.5 Sphere.255 7.4.6 Dynamics of a neutral colloid. 256 7.4.7 Charged colloids. 258 Electrolytes. 266 Condensation of matter. 278 Semi-infinite solid. 289 Hadronization of the quark-gluon plasma.293 7.8.1 Atomic nucleus. 293 7.8.2 Nuclear quark-gluon plasma. Ignition threshold
energy. 294 7.8.3 Hot and dense quark-gluon plasma. 296 7.8.4 Hadronization. Classical statistics. 298 7.8.5 Hadronization. Transition temperature and the hadronic yield. 300 7.8.6 Appendix 1. The viriai, free nucleons, and mass formula. 306 7.8.7 Appendix 2. Statistical equilibrium and ther malization 308 Phase diagram of Quantum Chromodynamics.309 317 Central limit theorem. 317 Replacing sums by integrals. 318 323 |
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