Applicability and non-applicability of equilibrium statistical mechanics to non-thermal damage phenomena: II. Spinodal behavior

Abstract

This paper investigates the spinodal behavior of non-thermal damage phenomena. As an example, a non-thermal fiber-bundle model with the global uniform (meanfield) load sharing is considered. In the vicinity of the spinodal point the power-law scaling behavior is found. For the meanfield fiber-bundle model the spinodal exponents are found to have typical meanfield values.

arXiv commentVersion related: More careful explanation for the critical slowing-down. General: The topological properties of non-thermal damage are described by the formalism of statistical mechanics. This is the continuation of arXiv:0805.0346. Comments, especially negative, are very welcome

References in corpus (12)

• First-Order Transition in the Breakdown of Disordered Media
• Tri-critical behavior in rupture induced by disorder
• Fracture and second-order phase transitions
• Dynamic critical behavior of failure and plastic deformation in the random fiber bundle model
• Phase transition in fiber bundle models with recursive dynamics
• Interacting damage models mapped onto Ising and percolation models
• Comment on "Tricritical Behavior in Rupture Induced by Disorder"
• Thermodynamics of fiber bundles
• Fracture of disordered solids in compression as a critical phenomenon: I. Statistical mechanics formalism
• Fracture of disordered solids in compression as a critical phenomenon: II. Model Hamiltonian for a population of interacting cracks
• Fracture of disordered solids in compression as a critical phenomenon: III. Analysis of the localization transition
• Statistical mechanics of damage phenomena

Cited by in corpus (1)

• From Random Motion of Hamiltonian Systems to Boltzmann H Theorem and Second Law of Thermodynamics -- a Pathway by Path Probability