Work

Probability of a Single Current

Year: 2024

Type: article

Abstract: The Riemann surface associated with counting the current between two states of an underlying Markov process is hyperelliptic. We explore the consequences of this property for the time-dependent probability of that current for Markov processes with generic transition rates. When the system is prepared in its stationary state, the relevant meromorphic differential is in particular fully characterized by the precise identification of all its poles and zeroes.

Source: Journal of Statistical Physics

DOI: 10.1007/s10955-024-03338-0

Author: Sylvain Prolhac

Institutions: Université Toulouse III - Paul Sabatier, Laboratoire de Physique Théorique

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Université Toulouse III - Paul Sabatier