Dynamical Gibbs–Non-Gibbs transitions in lattice Widom–Rowlinson models with hard-core and soft-core interactions
- We consider the Widom–Rowlinson model on the lattice \(\mathbb{Z}^{d}\) in two versions, comparing the cases of a hard-core repulsion and of a soft-core repulsion between particles carrying opposite signs. For both versions we investigate their dynamical Gibbs–non-Gibbs transitions under an independent stochastic symmetric spin-flip dynamics. While both models have a similar phase transition in the high-intensity regime in equilibrium, we show that they behave differently under time-evolution: the time-evolved soft-core model is Gibbs for small times and loses the Gibbs property for large enough times. By contrast, the time-evolved hard-core model loses the Gibbs property immediately, and for asymmetric intensities, shows a transition back to the Gibbsian regime at a sharp transition time.
| Author: | Sascha KisselGND, Christof KülskeORCiDGND |
|---|---|
| URN: | urn:nbn:de:hbz:294-91295 |
| DOI: | https://doi.org/10.1007/s10955-019-02478-y |
| Parent Title (English): | Journal of statistical physics |
| Publisher: | Springer Science + Business Media B.V. |
| Place of publication: | New York |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2022/07/19 |
| Date of first Publication: | 2020/01/20 |
| Publishing Institution: | Ruhr-Universität Bochum, Universitätsbibliothek |
| Tag: | Dobrushin uniqueness; Dynamical Gibbs–non-Gibbs transitions; Gibbs measures; Non-Gibbsian measures; Peierls argument; Percolation; Phase transitions; Stochastic dynamics; Widom–Rowlinson model |
| Volume: | 178 |
| First Page: | 725 |
| Last Page: | 762 |
| Note: | Dieser Beitrag ist auf Grund des DEAL-Springer-Vertrages frei zugänglich. |
| Dewey Decimal Classification: | Naturwissenschaften und Mathematik / Mathematik |
| open_access (DINI-Set): | open_access |
| faculties: | Fakultät für Mathematik |
| Licence (English): |  Creative Commons - CC BY 4.0 - Attribution 4.0 International |
