Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 49, Issue 34, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/49/34/34LT01
Keywords
current fluctuations; large deviations; cycle decomposition; enzyme kinetics
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We provide a proof of a recently conjectured universal bound on current fluctuations in Markovian processes. This bound establishes a link between the fluctuations of an individual observable current, the cycle affinities driving the system into a non-equilibrium steady state, and the topology of the network. The proof is based on a decomposition of the network into independent cycles with both positive affinity and positive stationary cycle current. This formalism allows for a refinement of the bound for systems in equilibrium or with locally vanishing affinities.
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