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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/18073

Title: Echo states for detailed fluctuation theorems
Authors: BECKER, Thijs
WILLAERT, Tim
CLEUREN, Bart
VAN DEN BROECK, Christian
Issue Date: 2015
Citation: PHYSICAL REVIEW E, 91, (1), (ART N° 012101)
Abstract: Detailed fluctuation theorems are statements about the probability distribution for the stochastic entropy production along a trajectory. It involves the consideration of a suitably transformed dynamics, such as the time reversed, the adjoint, or a combination of these. We identify specific, typically unique, initial conditions, called echo states, for which the final probability distribution of the transformed dynamics reproduces the initial distribution. In this case the detailed fluctuation theorems relate the stochastic entropy production of the direct process to that of the transformed one. We illustrate our results by an explicit analytical calculation and numerical simulations for a modulated two-state quantum dot.
Notes: Becker, T (reprint author), Hasselt Univ, B-3590 Diepenbeek, Belgium. thijsbecker@gmail.com
URI: http://hdl.handle.net/1942/18073
Link to publication: arxiv.org/abs/1405.6064
DOI: 10.1103/PhysRevE.91.012101
ISI #: 000347925400002
ISSN: 2470-0045
Category: A1
Type: Journal Contribution
Validation: ecoom, 2016
Appears in Collections: Research publications

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