Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations

Autor:	Floreani, Simone, Redig, Frank, Sau, Federico
Rok vydání:	2020
Předmět:	Mathematics - Probability Mathematical Physics 60K35 (Primary) 60K37 60J75 82C05 (Secondary)
Druh dokumentu:	Working Paper
DOI:	10.1214/21-AIHP1163
Popis:	We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and well-chosen site disorder. We extend the classical dualities to this context and then we derive new orthogonal polynomial dualities. From the classical dualities, we derive the uniqueness of the non-equilibrium steady state and obtain correlation inequalities. Starting from the orthogonal polynomial dualities, we show universal properties of n-point correlation functions in the non-equilibrium steady state for systems with at most two different reservoir parameters, such as a chain with reservoirs at left and right ends. Comment: 34 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.08272 Zobrazit plný text záznamu View this record from Arxiv