Published February 2013
| Submitted
Journal Article
Open
Thermalization of rate-independent processes by entropic regularization
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.
Additional Information
© 2013 American Institute of Mathematical Sciences Received: May 2011; Revised: July 2011; Available Online: October 2012. The first author acknowledges portions of this work supported by the Engineering and Physical Sciences Research Council (http://www.epsrc.ac.uk/).Attached Files
Submitted - 1209_3619.pdf
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Additional details
- Eprint ID
- 83306
- DOI
- 10.3934/dcdss.2013.6.215
- Resolver ID
- CaltechAUTHORS:20171117-150903971
- Engineering and Physical Sciences Research Council (EPSRC)
- Created
-
2017-11-20Created from EPrint's datestamp field
- Updated
-
2023-09-28Created from EPrint's last_modified field
- Caltech groups
- GALCIT