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

0567875 - FZÚ 2023 RIV US eng J - Journal Article
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
Institutional support: RVO:68378271
Keywords : nonequilibrium process * matrix-tree theorem * matrix-forest theorem
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 1.6, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0339130