TY - JOUR
AU - Harris, R. J.
AU - Schütz, Gunter M.
AU - Rakos, A.
TI - Fluctuation theorems for stochastic interacting particle systems
JO - Markov processes and related fields
VL - 20
SN - 1024-2953
CY - Moscow
PB - Polymat
M1 - FZJ-2014-01963
SP - 3-44
PY - 2014
AB - Fluctuation theorems such as the Gallavotti - Cohen theoremor the Jarzynski relation make use of time reversal to establish a symmetry property of the large deviation function and make predictions about entropy production in many-body systems with non-reversible dynamics. We demonstrate,in the context of Markovian jump processes with finite state space, how a wide variety of related fluctuation theorems arise from a simple fundamental time-reversal symmetry of a certain class of observables. We also point out that a specific example of these fluctuation relations, which we call the Gallavotti - Cohen symmetry, may fail if the state space becomes infinite. We work with the master equation approach, which leads to mathematically straightforward proofs and provides direct insight into the probabilistic meaning of the quantities involved.
LB - PUB:(DE-HGF)16
UR - <Go to ISI:>//WOS:000335205400001
UR - https://juser.fz-juelich.de/record/152350
ER -