Bøger af David Jou

I. General Theory.- 1 Classical and Rational Formulations of Non-equilibrium Thermodynamics.- 1.1 The General Balance Laws of Continuum Physics.- 1.2 The Law of Balance of Entropy.- 1.3 Classical Irreversible Thermodynamics.- 1.4 Rational Thermodynamics.- Problems.- 2 Extended Irreversible Thermodynamics: Evolution Equations.- 2.1 Heat Conduction.- 2.2 One-component Viscous Fluid.- 2.3 The Generalised Entropy Flux and Entropy Production.- 2.4 Linearized Evolution Equations of the Fluxes.- 2.5 Rational Extended Thermodynamics.- 2.6 Some Comments and Perspectives.- 2.7 Entropy Evolution in an Isolated System: An Illustrative Example.- Problems.- 3 Extended Irreversible Thermodynamics: Non-equilibrium Equations of State.- 3.1 Physical Interpretation of the Non-equilibrium Entropy.- 3.2 Non-equilibrium Equations of State: Temperature.- 3.3 Non-equilibrium Equations of State: Thermodynamic Pressure.- 3.4 Convexity Requirements and Stability.- Problems.- 4 Hamiltonian Formulations.- 4.1 GENERIC Formulation.- 4.2 Reversible and Irreversible Kinematics.- 4.3 Governing Equations of EIT.- Problems.- II. Microscopic Foundations.- 5 The Kinetic Theory of Gases.- 5.1 The Basic Concepts of Kinetic Theory.- 5.2 Non-equilibrium Entropy and the Entropy Flux.- 5.3 Grad' Solution.- 5.4 The Relaxation-Time Approximation.- 5.5 Dilute Non-ideal Gases.- 5.6 Non-linear Transport.- 5.7 Beyond the Thirteen-Moment Approximation: Continued-Fraction Expansions of Transport Coefficients.- Problems.- 6 Fluctuation Theory.- 6.1 Einstein' Formula. Second Moments of Equilibrium Fluctuations.- 6.2 Ideal Gases.- 6.3 Fluctuations and Hydrodynamic Stochastic Noise.- 6.4 The Entropy Flux.- 6.5 Application to a Radiative Gas.- 6.6 Onsager' Relations.- Problems.- 7 Information Theory.- 7.1 Basic Concepts.- 7.2 Ideal Gas Under Heat Flux and Viscous Pressure.- 7.3 Ideal Gas Under Shear Flow: Non-linear Analysis.- 7.4 Ideal Gas Submitted to a Heat Flux: Non-linear Analysis.- 7.5 Relativistic Ideal Gas Under an Energy Flow.- 7.6 Heat Flow in a Linear Harmonic Chain.- 7.7 Information Theory and Non-equilibrium Fluctuations.- Problems.- 8 Linear Response Theory.- 8.1 Projection Operator Methods.- 8.2 Evolution Equations for Simple Fluids.- 8.3 Continued-Fraction Expansions.- Problems.- 9 Computer Simulations.- 9.1 Computer Simulations of Non-equilibrium Steady States.- 9.2 Non-equilibrium Equations of State.- 9.3 Dependence of the Free Energy on the Shear Rate: Non-linear Approach.- 9.4 Shear-Induced Heat Flux and the Zeroth Law.- Problems.- III. Selected Applications.- 10 Hyperbolic Heat Conduction.- 10.1 The Finite Speed of Thermal Signals. Second Sound.- 10.2 Heat Pulses.- 10.3 Beyond the Maxwell-Cattaneo Equation.- 10.4 Second Sound Under a Heat Flow.- 10.5 Heat Conduction in a Rotating Rigid Cylinder.- 10.6 Non-linear Heat Transfer: Flux Limiters.- 10.7 Other Applications.- Problems.- 11 Waves in Fluids.- 11.1 Hydrodynamic Modes in Simple Fluids.- 11.2 Transverse Viscoelastic Waves.- 11.3 Ultrasound Propagation in Monatomic Gases.- 11.4 Shock Waves.- Problems.- 12 Generalised Hydrodynamics.- 12.1 Density and Current Correlation Functions.- 12.2 Spectral Density Correlation.- 12.3 The Transverse Velocity Correlation Function: the EIT Description.- 12.4 The Longitudinal Velocity Correlation Function: the EIT Description.- 12.5 Influence of Higher-order Fluxes.- Problems.- 13 Non-classical Diffusion.- 13.1 Extended Thermodynamics of Diffusion.- 13.2 Telegrapher' Equation and Stochastic Processes.- 13.3 Taylor' Dispersion.- 13.4 Non-Fickian Diffusion in Polymers.- 13.5 Hyperbolic Reaction-Diffusion Systems.- Problems.- 14 Electrical Systems.- 14.1 Electrical Systems: Evolution Equations.- 14.2 Cross Terms in Constitutive Equations: Onsager' Relations.- 14.3 Hydrodynamical Models of Transport in Semiconductors and Plasmas.- 14.4 Dielectric Relaxation of Polar Liquids.- Problems.- 15 Rheological Materials.- 15.1 Rheological Models.- 15.2 EIT Description of Linear Visc

For instance, they discuss baricentric coordinates, mapping between Hilbert spaces, tensor products between linear spaces, orbits of vectors of a linear space under the action of its structure group, and the class of Hilbert space as a category.

This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research.

This is the second edition of "Thermodynamics of Fluids under Flow," which has now been corrected, expanded and updated. It provides macroscopic and microscopic approaches to assessing flow contributions to thermodynamic quantities.

This fourth edition of the acclaimed monograph goes beyond the classical theory of irreversible processes to cover a range of applications, and includes a thorough discussion of the foundations and scope of current theories on non-equilibrium thermodynamics.

Discover the many facets of non-equilibrium thermodynamics. The first part of this book describes the current thermodynamic formalism recognized as the classical theory. To help build your understanding, some problems have been analyzed using several formalisms to underscore their differences and their similarities.