Condensation in zero-range processes with a fast rate
- 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.
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| Author: | Watthanan Jatuviriyapornchai, Stefan GrosskinskyORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1165244 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/116524 |
| ISSN: | 1572-9613OPAC |
| Parent Title (English): | Journal of Statistical Physics |
| Publisher: | Springer Science and Business Media LLC |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2024/11/13 |
| Volume: | 191 |
| Issue: | 11 |
| First Page: | 147 |
| DOI: | https://doi.org/10.1007/s10955-024-03362-0 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Stochastik und ihre Anwendungen | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
