Condensation in Zero-Range Processes with a Fast Rate
Issued Date
2024-11-01
Resource Type
ISSN
00224715
eISSN
15729613
Scopus ID
2-s2.0-85208546601
Journal Title
Journal of Statistical Physics
Volume
191
Issue
11
Rights Holder(s)
SCOPUS
Bibliographic Citation
Journal of Statistical Physics Vol.191 No.11 (2024)
Suggested Citation
Jatuviriyapornchai W., Grosskinsky S. Condensation in Zero-Range Processes with a Fast Rate. Journal of Statistical Physics Vol.191 No.11 (2024). doi:10.1007/s10955-024-03362-0 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/102051
Title
Condensation in Zero-Range Processes with a Fast Rate
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Abstract
We introduce a simple zero-range process with constant rates and one fast rate for a particular occupation number, which diverges with the system size. Surprisingly, this minor modification induces a condensation transition in the thermodynamic limit, where the structure of the condensed phase depends on the scaling of the fast rate. We study this transition and its dependence on system parameters in detail on a rigorous level using size-biased sampling. This approach generalizes to any particle system with stationary product measures, and the techniques used in this paper provide a foundation for a more systematic understanding of condensing models with a non-trivial condensed phase.