Statistical mechanics of damage phenomena

Details Statistical mechanics of damage phenomena Statistical mechanics of damage phenomena

2008-05-03

arxiv.org/abs/0805.0346v3

J. Stat. Mech. (2008) P09005

Physics

Condensed Matter

Statistical Mechanics

Critical point appeared to be a spinodal point

Scientific paper

10.1088/1742-5468/2008/09/P09005

This paper applies the formalism of classical, Gibbs-Boltzmann statistical mechanics to the phenomenon of non-thermal damage. As an example, a non-thermal fiber-bundle model with the global uniform (meanfield) load sharing is considered. Stochastic topological behavior in the system is described in terms of an effective temperature parameter thermalizing the system. An equation of state and a topological analog of the energy-balance equation are obtained. The formalism of the free energy potential is developed, and the nature of the first order phase transition and spinodal is demonstrated.

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