Extended Irreversible Thermodynamics

The new edition reflects new developments in theory and applications, it adds new problems and contains a new chapter on the interplay between hydrodynamics and thermodynamics, a field of active research.

I. General Theory.- 1 Classical and Rational Formulations of Non-equilibrium Thermodynamics.- 2 Extended Irreversible Thermodynamics: Evolution Equations.- 3 Extended Irreversible Thermodynamics: Non-equilibrium Equations of State.- 4 Hamiltonian Formulations.- II. Microscopic Foundations.- 5 The Kinetic Theory of Gases.- 6 Fluctuation Theory.- 7 Information Theory.- 8 Linear Response Theory.- 9 Computer Simulations.- III. Selected Applications.- 10 Hyperbolic Heat Conduction.- 11 Waves in Fluids.- 12 Generalised Hydrodynamics.- 13 Non-classical Diffusion.- 14 Electrical Systems.- 15 Rheological Materials.- 16 Thermodynamics of Polymer Solutions Under Shear Flow.- 17 Relativistic Formulation.- 18 Viscous Cosmological Models.- References.- Appendices.- A. Summary of Vector and Tensor Notation.- B. Useful Integrals in the Kinetic Theory of Gases.- C. Some Physical Constants.

From the reviews of the second edition
"This excellent book presents the actual state of ideas on thermo-dynamics, and the new concept of Extended Irreversible Thermo-dynamics (EIT) ... Each chapter is self-consistent and ends with specific exercises and references."
(V. Pletser in: Physicalia)

From the reviews of the third edition:

"This is an excellent monograph presenting comprehensively the state-of-art in one of the fast developing branches of non-equilibrium thermodynamics. The name of the theory emphasizes the main idea exploiting in the description on non-equilibrium states, namely, the extension of classical thermodynamic state space by means of additional independent variables, such as heat flux, entropy flux, and so on. ... Three parts of the book include the general theory, microscopic foundation, and selected applications. ... recommended for using in advanced courses for graduate students." (Arkadi Berezovski, Zentralblatt MATH, Vol. 974, 2001)