Trees and forests for nonequilibrium purposes: an introduction to graphical representations

0567875 - FZÚ 2023 RIV US eng J - Článek v odborném periodiku
Khodabandehlou, F. - Maes, C. - Netočný, Karel
Trees and forests for nonequilibrium purposes: an introduction to graphical representations.
Journal of Statistical Physics. Roč. 189, č. 3 (2022), č. článku 41. ISSN 0022-4715. E-ISSN 1572-9613
Institucionální podpora: RVO:68378271
Klíčová slova: nonequilibrium process * matrix-tree theorem * matrix-forest theorem
Obor OECD: Condensed matter physics (including formerly solid state physics, supercond.)
Impakt faktor: 1.6, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s10955-022-03003-4

Using local detailed balance we rewrite the Kirchhoff formula for stationary distributions of Markov jump processes in terms of a physically interpretable tree-ensemble. We use that arborification of path-space integration to derive a McLennan-tree characterization close to equilibrium, as well as to obtain response formula for the stationary distribution in the asymptotic regime of large driving.
Trvalý link: https://hdl.handle.net/11104/0339130