Supersymmetry and fluctuation relations for currents in closed networks
Nikolai A. Sinitsyn, Alexei Akimov, and Vladimir Y. Chernyak
TL;DR
This paper reveals a supersymmetry in the counting statistics of stochastic particle currents and derives exact relations for current statistics under fast, time-dependent protocols in closed networks.
Contribution
It introduces a supersymmetry framework in stochastic current statistics and derives nonperturbative exact relations for arbitrary fast protocols.
Findings
Supersymmetry exists in the counting statistics of stochastic currents.
Exact nonperturbative relations are derived for current statistics.
Applicable to arbitrarily fast time-dependent protocols.
Abstract
We demonstrate supersymmetry in the counting statistics of stochastic particle currents and use it to derive exact nonperturbative relations for the statistics of currents induced by arbitrarily fast time-dependent protocols.
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