Autor: |
Busiello, Daniel M., Hidalgo, Jorge, Maritan, Amos |
Rok vydání: |
2018 |
Předmět: |
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Zdroj: |
New J. Phys. 21 073004 (2019) |
Druh dokumentu: |
Working Paper |
DOI: |
10.1088/1367-2630/ab29c0 |
Popis: |
Systems out of equilibrium exhibit a net production of entropy. We study the dynamics of a stochastic system represented by a Master Equation that can be modeled by a Fokker-Planck equation in a coarse-grained, mesoscopic description. We show that the corresponding coarse-grained entropy production contains information on microscopic currents that are not captured by the Fokker-Planck equation and thus cannot be deduced from it. We study a discrete-state and a continuous-state system, deriving in both the cases an analytical expression for the coarse-graining corrections to the entropy production. This result elucidates the limits in which there is no loss of information in passing from a Master Equation to a Fokker-Planck equation describing the same system. Our results are amenable of experimental verification, which could help to infer some information about the underlying microscopic processes. |
Databáze: |
arXiv |
Externí odkaz: |
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