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Affinity- and topology-dependent bound on current fluctuations

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Barato,  Andre C.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Pietzonka, P., Barato, A. C., & Seifert, U. (2016). Affinity- and topology-dependent bound on current fluctuations. Journal of Physics A, 49(34): 34LT01. doi:10.1088/1751-8113/49/34/34LT01.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-503B-1
Abstract
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.