| Preface | p. xiii |
| Introduction | p. 1 |
| References | p. 10 |
| The Zeroth Law of Thermodynamics | p. 11 |
| Thermal Equilibrium and Temperature | p. 11 |
| An Alternative Form of the Law | p. 12 |
| Absolute Temperature | p. 14 |
| References | p. 18 |
| The First Law of Thermodynamics | p. 19 |
| Mechanical Equivalent of Heat | p. 20 |
| Energy Conservation Law | p. 20 |
| Spaces of Macroscopic Variables | p. 23 |
| Thermodynamic Space | p. 23 |
| Space of Conjugate Variables to h | p. 23 |
| Quantification of the Variables of F[subscript h] | p. 24 |
| Work | p. 25 |
| References | p. 29 |
| The Second Law of Thermodynamics | p. 31 |
| Carnot's Theorem | p. 32 |
| Maximum Work | p. 33 |
| Efficiency of Reversible Carnot Cycles | p. 34 |
| The Second Law of Thermodynamics | p. 35 |
| Thermodynamic Temperature | p. 41 |
| Clausius' Inequality | p. 42 |
| Clausius Entropy for Reversible Processes | p. 45 |
| Calortropy for Irreversible Processes | p. 46 |
| Mathematical Representation of the Second Law of Thermodynamics | p. 47 |
| Integral and Differential Forms of the Thermodynamic Laws | p. 48 |
| Compensated and Uncompensated Heats | p. 49 |
| Variation in Calortropy | p. 50 |
| Compensated Heat and Changes | p. 51 |
| Uncompensated Heat | p. 52 |
| Proposition for Uncompensated Heat | p. 54 |
| Clausius-Duhem Inequality | p. 55 |
| Isolated Systems | p. 56 |
| Non-isolated Systems | p. 57 |
| Extended Gibbs Relations | p. 60 |
| Uncompensated Heat and Constitutive Equations | p. 61 |
| Non-Equilibrium Thermodynamic Functions | p. 63 |
| New Thermodynamic Function [Omega] | p. 64 |
| Summary | p. 65 |
| References | p. 66 |
| Thermodynamics of Global Irreversible Processes | p. 69 |
| The Convexity of [Omega] | p. 70 |
| Thermodynamics of Composite Systems | p. 72 |
| Thermodynamic Stability of Heterogeneous Systems | p. 73 |
| Equilibrium Conditions | p. 78 |
| Some Examples of Global Processes | p. 80 |
| Global Thermodynamic Forces | p. 80 |
| Examples for Global Constitutive Equations | p. 87 |
| Irreversible Thermodynamics of Neural Networks | p. 89 |
| Neural Networks and Calortropy Production | p. 92 |
| Network of Bromate Oscillators | p. 94 |
| Hebbian Learning Rules | p. 96 |
| Calortropy Production | p. 97 |
| Logic Operations and Calortropy Production | p. 99 |
| Numerical Simulations | p. 101 |
| References | p. 109 |
| Conservation Laws and Evolution Equations | p. 111 |
| Local Field Variables | p. 112 |
| Local Intensive Variables | p. 114 |
| Local Temperature | p. 114 |
| Local Pressure | p. 116 |
| Local Chemical Potentials | p. 117 |
| Local Generalized Potentials | p. 117 |
| The Set of Local Intensive Variables | p. 119 |
| Local Forms of the Conservation Laws | p. 120 |
| Time Derivative of Global Variables | p. 121 |
| Conservation Laws and Balance Equations | p. 123 |
| Local Internal Energy Differential | p. 126 |
| Evolution Equations for Non-Conserved Variables | p. 127 |
| Global Form of the First Law Revisited | p. 130 |
| References | p. 137 |
| Local Form of the Second Law of Thermodynamics | p. 139 |
| Local Differential Form for Calortropy | p. 140 |
| Calortropy Balance Equation | p. 140 |
| Calortropy Differential | p. 145 |
| Chemically Reacting Fluids | p. 148 |
| Connection with Equilibrium Thermodynamics | p. 150 |
| Legendre Transformations for Local Variables | p. 151 |
| Other Versions of Irreversible Thermodynamics | p. 153 |
| References | p. 157 |
| Local Irreversible Thermodynamics | p. 159 |
| Generalized Thermodynamics | p. 159 |
| Integrating Factor | p. 163 |
| Integrability Conditions and Maxwell's Relations | p. 164 |
| Applications of Maxwell's Relations | p. 166 |
| Symmetry Relations | p. 168 |
| Non-Equilibrium Free Energy | p. 169 |
| Examples | p. 175 |
| Ideal Gas | p. 176 |
| van der Waals Gas | p. 177 |
| Canonical Equation of State | p. 178 |
| References | p. 181 |
| Thermodynamics of Linear Irreversible Processes | p. 183 |
| Clausius Entropy and Linear Irreversible Processes | p. 184 |
| Linearized Constitutive Equations for Fluxes | p. 185 |
| Fluids with a Bulk Viscosity | p. 185 |
| The Navier-Stokes and Fourier Equations | p. 188 |
| Hyperbolic Partial Differential Equations | p. 189 |
| Multi-Component Fluids | p. 190 |
| Ultrasonic Waves in Monatomic Gases | p. 193 |
| Ultrasonic Waves in Rigid Diatomic Gases | p. 197 |
| Viscoelasticity of Fluids | p. 202 |
| Galvanic Cells | p. 205 |
| Galvanic Cells with Liquid Junctions | p. 207 |
| Local Hydrodynamic Equations | p. 208 |
| Calortropy Production in the Galvanic Cell | p. 209 |
| References | p. 216 |
| Irreversible Thermodynamics of Steady States | p. 219 |
| Model Generalized Hydrodynamic Equations | p. 222 |
| Reduced Evolution Equations | p. 224 |
| Reduced Variables | p. 224 |
| Reduced Hydrodynamic Equations | p. 226 |
| Navier-Stokes-Fourier Theory | p. 228 |
| Adiabatic Approximation | p. 230 |
| Simple Flows | p. 233 |
| Plane Couette Flow | p. 234 |
| Tube Flow | p. 239 |
| Stick Boundary Conditions | p. 241 |
| Langmuir Boundary Conditions for Flows | p. 243 |
| Shock Waves in Monatomic Gases | p. 251 |
| Generalized Hydrodynamic Equations | p. 253 |
| Reduced Hydrodynamic Equations | p. 255 |
| Boundary Conditions | p. 257 |
| Differential Equations for Reduced Velocity and Temperature | p. 258 |
| Shock Solutions and Shock Structure | p. 259 |
| Shock Waves in Diatomic Gases | p. 264 |
| Generalized Hydrodynamic Equations | p. 265 |
| One-Dimensional Shock Wave Equations | p. 267 |
| Reduced Hydrodynamic Equations | p. 268 |
| Boundary Conditions | p. 270 |
| Differential Equations for Reduced Velocity and Temperature | p. 271 |
| Shock Solutions of the Evolution Equations | p. 272 |
| Comparison with Experiment | p. 277 |
| Two-Dimensional Shock Waves | p. 279 |
| Flow in Microstructures and Nanostructures | p. 280 |
| Generalized Hydrodynamic Equations | p. 281 |
| Reduced Hydrodynamic Equations | p. 284 |
| Model Equations for Microchannel Flow | p. 287 |
| Profile for the Streamwise Velocity | p. 288 |
| Differential Equation for [phi] | p. 292 |
| Approximate Pressure Distribution | p. 293 |
| References | p. 296 |
| Variational Principles | p. 301 |
| Thermodynamic d'Alembert Principle | p. 303 |
| Thermodynamic Lagrangian for Linear Processes | p. 310 |
| Generalized Treatment | p. 312 |
| Downward Scheme | p. 312 |
| Upward Scheme | p. 316 |
| References | p. 318 |
| Contact Form in Thermodynamics | p. 319 |
| Vector Field | p. 320 |
| Examples in Equilibrium Thermodynamics | p. 323 |
| Ideal Gas Thermodynamics | p. 323 |
| van der Waals Fluid | p. 324 |
| A General Form for f | p. 325 |
| Sheared Non-Equilibrium Real Fluids | p. 326 |
| References | p. 332 |
| Index | p. 333 |
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