Extended Irreversible Thermodynamics
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Beschreibung
This is the first comprehensive monograph on a new thermodynamic theory that goes beyond the classical theory of irreversible processes. In contrast to the classical approach, the local equilibrium hypothesis is abandoned. The basic variables describing the system are no longer the equilibrium conserved variables: the latter are complemented by non-equilibrium quantities taking the form of flux heat, the viscous pressure tensor, the flux of matter, the flux of electric current, etc. The statements behind extended thermodynamics are confirmed by the kinetic theory of gases and statistical mechanics. The book covers a wide spectrum of applications such as hyperbolic heat conduction, rheological models, waves in fluids, generalized hydrodynamics, phase diagrams of solutions under shear, non-Fickian diffusion, electrical systems, and a relativistic formulation including some cosmological applications. The book also contains a wide discussion of the foundations and the scope of the most current theories on non-equilibrium thermodynamics (classical irreversible thermodynamics and rational thermodynamics).
The new edition reflects new developments in theory and applications, adds new problems, and contains a new chapter on the interplay between hydrodynamics and thermodynamics, a field of active research.
Modern technology strives towards higher speed, higher power, and higher miniaturiza tion. In these conditions, the classical transport equations must be updated in order to incorporate memory, non-local, and non-linear effects. These effects have been studied by starting from microscopic models which are specific to particular systems and whose solution requires mathematical approximations and boundary conditions. The aim of extended irreversible thermodynamics is to complement such microscopic analyses with a macroscopic framework which could play, with respect to the generalized trans port equations incorporating the aforementioned effects, a role similar to the one played by classical thermodynamics with respect to the classical transport equations. Such a macroscopic framework is particularly useful for comparing the results obtained from various microscopic models, for placing some restrictions on the range of validity of different approximations, and for settling a discussion on some basic concepts that arise unavoidably in a formalism that crosses the frontiers of the local-equilibrium theory. Extended irreversible thermodynamics is not at all in conflict with the classical theory of non-equilibrium thermodynamics and rational thermodynamics but must be viewed as a relevant extension of the scope of these descriptions. For the student or the researcher, it may be stimulating to go beyond the classical theories and to enter a of new ideas, new applications, and new problems.
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.
Autor*in
David Jou
Themen in »Extended Irreversible Thermodynamics«
Polymere Thermodynamik condensed matter dynamics irreversible Thermodynamik irreversible thermodynamics kinetic theory mechanics nonequilibrium polymers rheology simulation statistical mechanics thermodynamics