Steady-state solution of Markov jump processes in terms of arrival probabilities

Physical review. E, Journal Year: 2025, Volume and Issue: 111(1)

Published: Jan. 14, 2025

Several dynamical processes can be modeled as Markov jump among a finite number N of sites (the distinct physical states). Here we consider strongly connected networks with time-independent site-to-site rate constants, and focus on the steady-state occupation probabilities sites. We provide physically framed expression distribution in terms arrival probabilities, here defined going from starting to target given jumps (regardless time required). In particular, full set return (for all network) up N-1 is necessary sufficient. A few examples illustrate outcomes, including case stochastic chemical kinetics.

Language: Английский

Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds

Physical Review Letters, Journal Year: 2025, Volume and Issue: 134(15)

Published: April 15, 2025

Language: Английский