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Extended Thermodynamics Book

Extended Thermodynamics
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Extended Thermodynamics, Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility bet, Extended Thermodynamics
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  • Extended Thermodynamics
  • Written by author Ingo Muller, Tommaso Ruggeri
  • Published by Springer, 1993/03/29
  • Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility bet
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Preface
1 Early Version of Extended Thermodynamics and Kinetic Theory of Gases 1
1 Paradoxa of Heat Conduction and Shear Diffusion 2
2 Paradox Removed 4
3 Kinetic Theory of Mon-Atomic Gases 10
2 Extended Thermodynamics of Mon-Atomic Gases 17
1 The Equations of Extended Thermodynamics of Mon-Atomic Gases 18
2 Constitutive Theory 21
3 Field Equations and the Thermodynamic Limit 31
4 Thermal Equations of State and Specific Equation for Ideal Gases 36
3 Thermodynamics of Mixtures of Fluids 41
1 Ordinary Thermodynamics of Mixtures TIP 42
2 Extended Thermodynamics of Non-Viscous Simple Mixtures 45
3 Ordinary and Extended Thermodynamics of Mixtures 58
4 Relativistic Extended Thermodynamics of Mon-Atomic Gases 63
1 Balance Equations and Constitutive Restrictions 64
2 Constitutive Theory 66
3 Identification of Viscosities and Heat Conductivity 79
4 Specific Results for Relativistic and Degenerate Gases 81
5 Two Applications 94
6 The Relativistic Kinetic Theory for Non-Degenerate Gases 103
7 The Non-Relativistic Limit of Relativistic Thermodynamics 107
5 Thermodynamics of Light and Sound 111
1 Phonons and Photons 112
2 Energy and Momentum of Light and Sound 117
3 Shock Waves 121
6 Formal Structure of Extended Thermodynamics 125
1 The Formal Structure of Extended Thermodynamics 126
2 Galilean Invariance 130
3 Variables of Increasing Tensorial Rank 135
7 Waves in Extended Thermodynamics 139
1 Hyperbolicity and Symmetric Hyperbolic Systems 140
2 Linear Waves 141
3 Hyperbolicity in Extended Thermodynamics 145
4 Non-Linear Waves, Discontinuity Waves, or Acceleration Waves 148
5 Non-Linear Waves and Shock Waves 152
8 Second Sound in Solids at Low Temperature 161
1 Extended Thermodynamics of Phonons Generalized 162
2 Shock Waves in a Rigid Conductor 165
9 Molecular Extended Thermodynamics 169
1 Field Equations of Molecular Extended Thermodynamics of Many Moments 170
2 More Kinetic Theory 179
3 Equations for Mean Eigenfunctions and Closure 183
4 Molecular Extended Thermodynamics and Method of Eigenfunctions 186
10 Testing Extended Thermodynamics by Light 187
1 Basic Electrodynamics 188
2 Auto-Correlation Function as the Characteristic Feature of a Fluctuating Quantity 191
3 The Spectral Density: A Measurable Quantity 193
4 Onsager Hypothesis 195
5 Auto-Correlation Function and Its Properties 198
6 How to Use Light Scattering 202
7 Light Scattering and Extended Thermodynamics 205
11 Testing Extended Thermodynamics by Sound 213
1 Basic Acoustics 214
2 Dispersion Relations 218
3 Maximum Speed 222
Bibliography 225


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Extended Thermodynamics, Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility bet, Extended Thermodynamics

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Extended Thermodynamics, Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility bet, Extended Thermodynamics

Extended Thermodynamics

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Extended Thermodynamics, Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility bet, Extended Thermodynamics

Extended Thermodynamics

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