Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES(2022)
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 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.
MoreTranslated text
Key words
Interacting particle systems, Boundary driven systems, Duality, Orthogonal polynomial duality, Non-equilibrium stationary measure, Non-equilibrium stationary correlations, Symmetric exclusion process, Symmetric inclusion process
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined