2008/05/31 by S. G. Abaimov · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.mtrl-sci
paper · pdf · doi:10.1088/1742-5468/2008/09/p09005
published as J. Stat. Mech. (2008) P09005 · Critical point appeared to be a spinodal point
arxiv created 2008/07/23 · arxiv updated 2009/12/01
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.