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arXiv · 1209.3619

Thermalization of rate-independent processes by entropic regularization

T. J. Sullivan·M. Koslowski·F. Theil·M. Ortiz
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Abstract

We consider the effective behaviour of a rate-independent process when it is placed in contact with a heat bath. The method used to "thermalize" the process is an interior-point entropic regularization of the Moreau--Yosida incremental formulation of the unperturbed process. It is shown that the heat bath destroys the rate independence in a controlled and deterministic way, and that the effective dynamics are those of a non-linear gradient descent in the original energetic potential with respect to a different and non-trivial effective dissipation potential.

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T. J. Sullivan, M. Koslowski, F. Theil, M. Ortiz. 2012-09-17. Thermalization of rate-independent processes by entropic regularization. https://doi.org/10.3934/dcdss.2013.6.215

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