Non-equilibrium statistical mechanics of non-equilibrium damage phenomena

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dc.creatorAbaimov, S. G.
dc.date2009-05-03
dc.date2009-05-24
dc.date.accessioned2026-07-07T13:17:18Z
dc.date.available2026-07-07T13:17:18Z
dc.descriptionIn 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.
dc.descriptionThe Gibbs principle of minimization of a free energy is generalized in Eqs.(29-30) for path ensembles in non-equilibrium statistical mechanics
dc.identifierhttps://arxiv.org/abs/0905.0292
dc.identifierhttp://arxiv.org/abs/0905.0292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231073
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.titleNon-equilibrium statistical mechanics of non-equilibrium damage phenomena
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