# Solid Continuum with Thermofluctuation Kinetics of Microcracks. Phase Transition

Source: [Solid Continuum with Thermofluctuation Kinetics of Microcracks. Phase Transition](<https://www.sota2.com/research/paper/68fa2d321e209131ce857569>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T16:07:54.807Z

Authors: V. M. Gertsik, A.L. Petrosyan

Published: 2014-04-02T13:24:45.000Z

## Abstract

Thermodynamic equations for a solid and a solid continuum under stress are derived on the basis of a multicomponent mean field Markov process for thermofluctuation kinetics of microcracks. The resulting continuum is viscous elastoplastic continuum with damage. It can radiate elastic waves . The existence of phase transitions with microcrack density as an order parameter is proved for a stationary state of a special model of solid. For a finite large system the distribution of the logarithmic power of acoustic emission at a critical point is similar to the distribution of the logarithmic energy of earthquakes.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1404.0544>)

[PDF](<https://arxiv.org/pdf/1404.0544.pdf>)