The Effective Temperature in Elasto-Plasticity of Amorphous Solids

Abstract

An effective temperature $T_{\mathrm{eff}}$ 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 $T_{\mathrm{eff}}$ 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 $T_{\mathrm{eff}}$ based on measurable structural features without recourse to any questionable assumption. The value of $T_{\mathrm{eff}}$ is connected, using theory and scaling concepts, to the flow stress and the mean energy that characterize the elasto-plastic flow.

4 pages, 5 figures

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Cited by in corpus (5)

• Onset of Irreversibility and Chaos in Amorphous Solids Under Periodic Shear
• Cooperative effects driving the multi-periodic dynamics of cyclically sheared amorphous solids
• Statistical distributions in the folding of elastic structures
• Rheology and Shear Band Suppression in Particle and Chain Mixtures
• Time Scales in the Theory of Elasto-Plasticity of Amorphous Solids