Effective temperature in elastoplasticity of amorphous solids

2009/08/27 by Laurent Boué, Laurent Boue', H. G. E. Hentschel +3 · 1 citation
Chemistry · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Amorphous solid #Boltzmann constant #Chemistry #Condensed matter physics #Crystallography #Effective temperature #Energy (signal processing) #Flow (mathematics) #Geometry #Material Dynamics and Properties #Mathematics #Mechanics #Metallic Glasses and Amorphous Alloys #Physics #Quantum mechanics #Scaling #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #Value (mathematics) #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.81.100201

4 pages, 5 figures

arxiv created 2009/08/27 · openalex publication_date 2010/03/24 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An effective temperature T_eff which differs from the bath temperature is believed to play an essential role in the theory of elastoplasticity of amorphous solids. Here, we introduce a natural definition of T_eff appearing naturally in a Boltzmann-like distribution of measurable structural features without recourse to any questionable assumption. The value of T_eff is connected, using theory and scaling concepts, to the flow stress and the mean energy that characterize the elastoplastic flow.

Citations

• Energy distributions and effective temperatures in the packing of elastic sheets
• Quantitative theory of a relaxation function in a glass-forming system
• Rheological constitutive equation for a model of soft glassy materials
• Statistical Mechanics and Dynamics of a Three-Dimensional Glass-Forming System
• Ergodicity and slowing down in glass-forming systems with soft potentials: No finite-temperature singularities

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