Non-equilibrium statistical mechanics of non-equilibrium damage phenomena

Details Non-equilibrium statistical mechanics of non-equilibrium damage phenomena Non-equilibrium statistical mechanics of non-equilibrium damage phenomena

2009-05-03

arxiv.org/abs/0905.0292v3

Physics

Condensed Matter

Statistical Mechanics

The Gibbs principle of minimization of a free energy is generalized in Eqs.(29-30) for path ensembles in non-equilibrium stati

Scientific paper

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.

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