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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 | Publisher: | AMER PHYSICAL SOC | Source: | 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 | Document URI: | http://hdl.handle.net/1942/18073 | Link to publication/dataset: | arxiv.org/abs/1405.6064 | ISSN: | 2470-0045 | e-ISSN: | 2470-0053 | DOI: | 10.1103/PhysRevE.91.012101 | ISI #: | 000347925400002 | Rights: | 2015 American Physical Society. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2016 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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1405.6064v2.pdf | Non Peer-reviewed author version | 242.67 kB | Adobe PDF | View/Open |
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