Non-equilibrium statistical mechanics of non-equilibrium damage phenomena
Abstract
In this paper we investigate the applicability of non-equilibrium statistical mechanics to non-equilibrium damage phenomena. As an example, a fiber-bundle model with thermal noise and a fiber-bundle model with decay of fibers are considered. Initially we develop an analogy of the Gibbs formalism for nonequilibrium states. Later we switch from the approach of non-equilibrium states to the approach of non-equilibrium paths. Fluctuating behavior in the system is described in terms of effective temperature parameters. An equation of state and an analog of an energy-balance equation are obtained. Also the formalism of the free energy potential is developed. For fluctuations of paths in the system the statistical distribution is found to be Gaussian.
Cite
@article{arxiv.0905.0292,
title = {Non-equilibrium statistical mechanics of non-equilibrium damage phenomena},
author = {S. G. Abaimov},
journal= {arXiv preprint arXiv:0905.0292},
year = {2009}
}
Comments
The Gibbs principle of minimization of a free energy is generalized in Eqs.(29-30) for path ensembles in non-equilibrium statistical mechanics