Published May 2014
| Published
Journal Article
Open
Intrinsic irreversibility of Markovian chains
- Creators
- Di Porto, P.
- Crosignani, B.
- DelRe, E.
Abstract
We show that for a large class of stationary Markov processes the total variation distance between the final equilibrium distribution and that at a given time is a strongly monotonic vanishing function. We illustrate this for basic paradigmatic processes and discuss how, for systems susceptible to a canonical description, this can be interpreted as a statistical arrow of time that exists besides the standard decrease of free energy.
Additional Information
©2014 American Physical Society. Received 3 December 2013; published 13 May 2014. We are grateful to A. Ciattoni for useful discussions.Attached Files
Published - PhysRevE.89.052118.pdf
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PhysRevE.89.052118.pdf
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Additional details
- Eprint ID
- 46245
- Resolver ID
- CaltechAUTHORS:20140612-125731119
- Created
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2014-06-12Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field