Generalized immediate exchange models and their symmetries

Abstract

We reconsider the immediate exchange model and define a more general class of models where mass is split, exchanged and merged. We relate the splitting process to the symmetric inclusion process via thermalization and from that obtain symmetries and self-duality of the generalized IEM model. We show that analogous properties hold for models were the splitting is related to the symmetric exclusion process or to independent random walkers.

References in corpus (3)

• Duality and hidden symmetries in interacting particle systems
• Kinetic models of immediate exchange
• Duality and stationary distributions of the "Immediate Exchange Model" and its generalizations