Cycle counts and affinities in stochastic models of nonequilibrium systems.
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Pietzonka, Patrick
Guioth, Jules
Jack, Robert L
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 formulas which depend on the cycle affinity, 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 coarse graining. Finally, we describe the application of large deviation theory to this cycle-counting problem.
Description
Keywords
4901 Applied Mathematics, 49 Mathematical Sciences
Journal Title
Phys Rev E
Conference Name
Journal ISSN
2470-0045
2470-0053
2470-0053
Volume Title
104
Publisher
American Physical Society (APS)
Publisher DOI
Rights
Sponsorship
European Research Council (740269)