Theory of liquids: from excitations to thermodynamics
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2023
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xv, 209 Seiten Illustration, Diagramme |
| ISBN: | 9781009355476 |
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Datensatz im Suchindex
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| adam_text |
Contents Preface page xi 1 Introduction 1 2 Experimental Heat Capacity 9 3 Excitations in Solids and Gases 3.1 Harmonic Solids and Quadratic Forms 3.2 Continuum Approximation: Elasticity and Hydrodynamics 3.3 Excitations in Quantum Fluids 3.4 Intermediate Summary 21 26 27 4 Energy and Heat Capacity of Solids 4.1 Harmonic Solids 4.2 Weak Anharmonicity 29 29 32 5 First-Principles Description of Liquids: Exponential Complexity 35 Liquid Energy and Heat Capacity from Interactions and Correlation Functions 6.1 The Method 6.2 The Problem 6.3 A Better Alternative? 6.4 Structure and Thermodynamics 39 39 43 45 48 Frenkel Theory and Frenkel’s Book 7.1 Liquid Relaxation Time 7.2 Collective Excitations in the Frenkel Theory 50 50 57 6 7 16 16 vii
Contents viii 7.3 8 9 Continuity of Liquid and Solid States and the FrenkelLandau Argument: First Ignition of the Glass Transition Debate 62 Collective Excitations in Liquids Post-Frenkel 8.1 The Telegraph Equation and Gapped Excitations in Liquids 8.2 Another Solution of the Telegraph Equation 8.3 The First Glimpse into Liquid Thermodynamics and Collective Modes 8.4 Symmetry of Liquids: Viscoelasticity and Elastoviscosity 8.5 Collective Modes in Generalised Hydrodynamics 8.6 Experimental Evidence of Collective Excitations in Liquids 8.7 Decay of Excitations in Liquids and Solids Molecular Dynamics Simulations 10 Liquid Energy and Heat Capacity in the Liquid Theory Based on Collective Excitations 10.1 Liquid Energy and Heat Capacity 10.2 Comparison to the Integral over Interaction and Correlation Functions 10.3 Anharmonic Effects 10.4 Quantum Effects 10.5 Verification of the Liquid Theory Based on Collective Excitations 10.6 Molecular Liquids and Quantum Excitations 64 64 69 71 72 74 79 86 90 97 97 103 105 107 109 112 11 Quantum Liquids: Excitations and Thermodynamic Properties 11.1 Liquid 4He 11.2 Liquid 3 He 11.3 Quantum Indistinguishability 114 114 118 121 12 Sui Generis 125 13 Connection between Phonons and Liquid Thermodynamics: A Historical Survey 13.1 Early Period 127 127
Contents 13.2 14 15 Late Period The Supercritical State 14.1 What Happens at High Temperature? 14.2 The Supercritical State and Its Transition Lines 14.3 Applications of Supercritical Fluids 14.4 C Transition 14.5 Excitations and Thermodynamic Properties 14.6 Liquid Elasticity Length and Particle Mean-Free Path 14.7 Heat Capacity of Matter: From Solids to Liquids to Gases Minimal Quantum Viscosity from Fundamental Physical Constants 15.1 Viscosity Minima and Dynamical Crossover 15.2 Minimal Quantum Viscosity and Fundamental Constants 15.3 Elementary Viscosity, Diffusion Constant and Uncertainty Principle 15.4 Viscosity Minima in Quantum Liquids 15.5 Lower Bound of Thermal Diffusivity 15.6 Practical Implications 15.7 The Purcell Question: Why Do All Viscosities Stop at the Same Place? 15.8 Fundamental Constants, Quantumness and Life 15.9 Another Layer to the Anthropic Principle ix 130 133 133 134 140 141 145 149 150 152 152 155 159 161 163 165 165 166 168 16 Viscous Liquids 16.1 Collective Excitations, Energy and Heat Capacity 16.2 Entropy 16.3 Heat Capacity at the Liquid-Glass Transition 16.4 Glass Transition Revisited 171 171 175 177 181 17 A Short Note on Theory 185 18 Excitations and Thermodynamics in Other Disordered Media: Spin Waves and Spin Glass Systems 188 Evolution of Excitations in Strongly Coupled Systems 194 References Index 197 207 19 |
| adam_txt |
Contents Preface page xi 1 Introduction 1 2 Experimental Heat Capacity 9 3 Excitations in Solids and Gases 3.1 Harmonic Solids and Quadratic Forms 3.2 Continuum Approximation: Elasticity and Hydrodynamics 3.3 Excitations in Quantum Fluids 3.4 Intermediate Summary 21 26 27 4 Energy and Heat Capacity of Solids 4.1 Harmonic Solids 4.2 Weak Anharmonicity 29 29 32 5 First-Principles Description of Liquids: Exponential Complexity 35 Liquid Energy and Heat Capacity from Interactions and Correlation Functions 6.1 The Method 6.2 The Problem 6.3 A Better Alternative? 6.4 Structure and Thermodynamics 39 39 43 45 48 Frenkel Theory and Frenkel’s Book 7.1 Liquid Relaxation Time 7.2 Collective Excitations in the Frenkel Theory 50 50 57 6 7 16 16 vii
Contents viii 7.3 8 9 Continuity of Liquid and Solid States and the FrenkelLandau Argument: First Ignition of the Glass Transition Debate 62 Collective Excitations in Liquids Post-Frenkel 8.1 The Telegraph Equation and Gapped Excitations in Liquids 8.2 Another Solution of the Telegraph Equation 8.3 The First Glimpse into Liquid Thermodynamics and Collective Modes 8.4 Symmetry of Liquids: Viscoelasticity and Elastoviscosity 8.5 Collective Modes in Generalised Hydrodynamics 8.6 Experimental Evidence of Collective Excitations in Liquids 8.7 Decay of Excitations in Liquids and Solids Molecular Dynamics Simulations 10 Liquid Energy and Heat Capacity in the Liquid Theory Based on Collective Excitations 10.1 Liquid Energy and Heat Capacity 10.2 Comparison to the Integral over Interaction and Correlation Functions 10.3 Anharmonic Effects 10.4 Quantum Effects 10.5 Verification of the Liquid Theory Based on Collective Excitations 10.6 Molecular Liquids and Quantum Excitations 64 64 69 71 72 74 79 86 90 97 97 103 105 107 109 112 11 Quantum Liquids: Excitations and Thermodynamic Properties 11.1 Liquid 4He 11.2 Liquid 3 He 11.3 Quantum Indistinguishability 114 114 118 121 12 Sui Generis 125 13 Connection between Phonons and Liquid Thermodynamics: A Historical Survey 13.1 Early Period 127 127
Contents 13.2 14 15 Late Period The Supercritical State 14.1 What Happens at High Temperature? 14.2 The Supercritical State and Its Transition Lines 14.3 Applications of Supercritical Fluids 14.4 C Transition 14.5 Excitations and Thermodynamic Properties 14.6 Liquid Elasticity Length and Particle Mean-Free Path 14.7 Heat Capacity of Matter: From Solids to Liquids to Gases Minimal Quantum Viscosity from Fundamental Physical Constants 15.1 Viscosity Minima and Dynamical Crossover 15.2 Minimal Quantum Viscosity and Fundamental Constants 15.3 Elementary Viscosity, Diffusion Constant and Uncertainty Principle 15.4 Viscosity Minima in Quantum Liquids 15.5 Lower Bound of Thermal Diffusivity 15.6 Practical Implications 15.7 The Purcell Question: Why Do All Viscosities Stop at the Same Place? 15.8 Fundamental Constants, Quantumness and Life 15.9 Another Layer to the Anthropic Principle ix 130 133 133 134 140 141 145 149 150 152 152 155 159 161 163 165 165 166 168 16 Viscous Liquids 16.1 Collective Excitations, Energy and Heat Capacity 16.2 Entropy 16.3 Heat Capacity at the Liquid-Glass Transition 16.4 Glass Transition Revisited 171 171 175 177 181 17 A Short Note on Theory 185 18 Excitations and Thermodynamics in Other Disordered Media: Spin Waves and Spin Glass Systems 188 Evolution of Excitations in Strongly Coupled Systems 194 References Index 197 207 19 |
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| illustrated | Illustrated |
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| physical | xv, 209 Seiten Illustration, Diagramme |
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| spelling | Trachenko, Kostya Verfasser (DE-588)1312506113 aut Theory of liquids from excitations to thermodynamics Kostya Trachenko, Queen Mary University of London Cambridge, United Kingdom Cambridge University Press 2023 xv, 209 Seiten Illustration, Diagramme txt rdacontent n rdamedia nc rdacarrier Thermodynamische Eigenschaft (DE-588)4126056-9 gnd rswk-swf Flüssigkeit (DE-588)4017621-6 gnd rswk-swf Flüssigkeit (DE-588)4017621-6 s Thermodynamische Eigenschaft (DE-588)4126056-9 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034601076&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Trachenko, Kostya Theory of liquids from excitations to thermodynamics Thermodynamische Eigenschaft (DE-588)4126056-9 gnd Flüssigkeit (DE-588)4017621-6 gnd |
| subject_GND | (DE-588)4126056-9 (DE-588)4017621-6 |
| title | Theory of liquids from excitations to thermodynamics |
| title_auth | Theory of liquids from excitations to thermodynamics |
| title_exact_search | Theory of liquids from excitations to thermodynamics |
| title_exact_search_txtP | Theory of liquids from excitations to thermodynamics |
| title_full | Theory of liquids from excitations to thermodynamics Kostya Trachenko, Queen Mary University of London |
| title_fullStr | Theory of liquids from excitations to thermodynamics Kostya Trachenko, Queen Mary University of London |
| title_full_unstemmed | Theory of liquids from excitations to thermodynamics Kostya Trachenko, Queen Mary University of London |
| title_short | Theory of liquids |
| title_sort | theory of liquids from excitations to thermodynamics |
| title_sub | from excitations to thermodynamics |
| topic | Thermodynamische Eigenschaft (DE-588)4126056-9 gnd Flüssigkeit (DE-588)4017621-6 gnd |
| topic_facet | Thermodynamische Eigenschaft Flüssigkeit |
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