Authors
Gregory L Eyink, Joel L Lebowitz, Herbert Spohn
Publication date
1996/5
Journal
Journal of Statistical physics
Volume
83
Pages
385-472
Publisher
Kluwer Academic Publishers-Plenum Publishers
Description
We derive hydrodynamic equations for systems not in local thermodynamic equilibrium, that is, where the local stationary measures are “non-Gibbsian” and do not satisfy detailed balance with respect to the microscopic dynamics. As a main example we consider thedriven diffusive systems (DDS), such as electrical conductors in an applied field with diffusion of charge carriers. In such systems, the hydrodynamic description is provided by a nonlinear drift-diffusion equation, which we derive by a microscopic method ofnonequilibrium distributions. The formal derivation yields a Green-Kubo formula for the bulk diffusion matrix and microscopic prescriptions for the drift velocity and “nonequilibrium entropy” as functions of charge density. Properties of the hydrodynamic equations are established, including an “H-theorem” on increase of the thermodynamic potential, or “entropy”, describing approach to the …
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Scholar articles
GL Eyink, JL Lebowitz, H Spohn - Journal of Statistical physics, 1996