Generalized immediate exchange models and their symmetries

Frank Redig; Federico Sau

doi:10.1016/j.spa.2017.02.005

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arXiv · 1606.08692

Generalized immediate exchange models and their symmetries

Frank Redig·Federico Sau

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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.

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Frank Redig, Federico Sau. 2016-06-28. Generalized immediate exchange models and their symmetries. https://doi.org/10.1016/j.spa.2017.02.005

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