The Effective Temperature in Elasto-Plasticity of Amorphous Solids

Details The Effective Temperature in Elasto-Plasticity of Amorphous Solids The Effective Temperature in Elasto-Plasticity of Amorphous Solids

2009-08-27

arxiv.org/abs/0908.4090v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

An effective temperature $T_{\rm eff}$ which differs from the bath temperature is believed to play an essential role in the theory of elasto-plasticity of amorphous solids. The definition of a measurable $T_{\rm eff}$ in the literature on sheared solids suffers however from being connected to a fluctuation-dissipation theorem which is correct only in equilibrium. Here we introduce a natural definition of $T_{\rm eff}$ based on measurable structural features without recourse to any questionable assumption. The value of $T_{\rm eff}$ is connected, using theory and scaling concepts, to the flow stress and the mean energy that characterize the elasto-plastic flow.

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