Orthogonal polynomial duality of boundary driven particle systems and nonequilibrium correlations
Abstract
We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and wellchosen 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 nonequilibrium steady state and obtain correlation inequalities. Starting from the orthogonal polynomial dualities, we show universal properties of npoint correlation functions in the nonequilibrium steady state for systems with at most two different reservoir parameters, such as a chain with reservoirs at left and right ends.
 Publication:

arXiv eprints
 Pub Date:
 July 2020
 arXiv:
 arXiv:2007.08272
 Bibcode:
 2020arXiv200708272F
 Keywords:

 Mathematics  Probability;
 Mathematical Physics;
 60K35 (Primary);
 60K37;
 60J75;
 82C05 (Secondary)
 EPrint:
 34 pages, 1 figure