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Scaling limit of the condensate dynamics in a reversible zero range process

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If you have a question about this talk, please contact Perla Sousi .

Zero range processes with decreasing jump rates can equilibrate in a condensed phase when the particle density exceeds a critical value. In this phase a nontrivial fraction of the mass in the system concentrates on a single randomly located site, the condensate. At a suitably long time scale the location of the condensate changes. We consider a supercritical nearest neighbour symmetric zero range process on the discrete 1d torus. We show that the scaling limit of the condensate dynamics is a Lévy process on the unit torus with jump rates inversely proportional to the jump length. Joint work with Inés Armendáriz and Stefan Grosskinsky

This talk is part of the Probability series.

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Lecture Theatre, Cambridge Research Institute Faculty of Education, 184 Hills Road, Cambridge, CB2 8PQ, 1S3 Department of Engineering, James Dyson Building Seminar Room

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