The open boundary Kipnis-Presutti-Marchioro particle model on a finite graph is a symmetric evolution producing mass flow when the boundary conditions are distinct. We show that the invariant measure is a product of exponential random variables with random means, called “hidden temperature”. The hidden temperature is the invariant measure of an opinion model coupled to the KMP, whose boundary individuals have a fixed opinion dictated by the KMP boundary conditions.

Joint work with Anna de Masi and Davide Gabrielli

https://doi.org/10.1007/s10955-024-03363-z