Cycle counts and affinities in stochastic models of nonequilibrium systems
Abstract
For nonequilibrium systems described by finite Markov processes, we consider the number of times that a system traverses a cyclic sequence of states (a cycle). The joint distribution of the number of forward and backward instances of any given cycle is described by universal formulae which depend on the cycle affinity affects, but are otherwise independent of system details. We discuss the similarities and differences of this result to fluctuation theorems, and generalize the result to families of cycles, relevant under coarsegraining. Finally, we describe the application of large deviation theory to this cycle counting problem.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 arXiv:
 arXiv:2107.14119
 Bibcode:
 2021arXiv210714119P
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 12 pages