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arXiv · 1608.05804

Enantiodromic effective generators of a Markov jump process with Gallavotti-Cohen symmetry

S. A. A. Terohid·P. Torkaman·F. H. Jafarpour
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Abstract

This paper deals with the properties of the stochastic generators of the effective (driven) processes associated with atypical values of transition-dependent time-integrated currents with Gallavotti-Cohen symmetry in Markov jump processes. Exploiting the concept of biased ensemble of trajectories by introducing a biasing field $s$, we show that the stochastic generators of the effective processes associated with the biasing fields $s$ and $E-s$ are enantiodromic with respect to each other where $E$ is the conjugated field to the current. We illustrate our findings by considering an exactly solvable creation-annihilation process of classical particles with nearest-neighbor interactions defined on a one-dimensional lattice.

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S. A. A. Terohid, P. Torkaman, F. H. Jafarpour. 2016-08-20. Enantiodromic effective generators of a Markov jump process with Gallavotti-Cohen symmetry. https://doi.org/10.1103/physreve.94.052107

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