Shape-Dependent Thermodynamics and Non-Local Hydrodynamics in a Non-Gibbsian Steady-State of a Drift-Diffusion System
Statistical Mechanics
2009-10-31 v1 Chemical Physics
Fluid Dynamics
Abstract
Shape-dependent thermodynamics and non-local hydrodynamics are argued to occur in dissipative steady states of driven diffusive systems. These predictions are confirmed by numerical simulations. Unlike power-law correlations, these phenomena cannot be explained by a hypothesis of ``criticality''. Instead, they require the effective Hamiltonian of the system to contain very long-range potentials, making the invariant probability measures formally ``non-Gibbsian''.
Keywords
Cite
@article{arxiv.cond-mat/9801258,
title = {Shape-Dependent Thermodynamics and Non-Local Hydrodynamics in a Non-Gibbsian Steady-State of a Drift-Diffusion System},
author = {Francis J. Alexander and Gregory L. Eyink},
journal= {arXiv preprint arXiv:cond-mat/9801258},
year = {2009}
}
Comments
4 pages, Latex Version 2.09, 1 Postscript figure