Multicyclic Norias: A First-Transition Approach to Extreme Values of the Currents.

J Stat Phys

Department of Mathematics, King's College London, Strand, London, WC2R 2LS UK.

Published: March 2024

For continuous-time Markov chains we prove that, depending on the notion of effective affinity , the probability of an edge current to ever become negative is either 1 if else . The result generalizes a "noria" formula to multicyclic networks. We give operational insights on the effective affinity and compare several estimators, arguing that stopping problems may be more accurate in assessing the nonequilibrium nature of a system according to a local observer. Finally we elaborate on the similarity with the Boltzmann formula. The results are based on a constructive first-transition approach.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10914643PMC
http://dx.doi.org/10.1007/s10955-024-03236-5DOI Listing

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