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

Autor: Terohid, S. A. A., Torkaman, P., Jafarpour, F. H.
Rok vydání: 2016
Předmět:
Zdroj: Phys. Rev. E 94, 052107 (2016)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.94.052107
Popis: 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.
Comment: Major revision, Accepted for publication in PRE
Databáze: arXiv