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

Matteo Polettini, Izaak Neri*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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For continuous-time Markov chains we prove that, depending on the notion of effective affinity F, the probability of an edge current to ever become negative is either 1 if F<0 else ∼exp-F. 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.

Original languageEnglish
Article number35
JournalJournal of Statistical Physics
Issue number3
Publication statusPublished - 5 Mar 2024


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