Competitive nucleation in metastable systems. (English) Zbl 1203.82032
De Bernardis, Enrico (ed.) et al., Applied and industrial mathematics in Italy III. Selected contributions from the 9th SIMAI conference, Rome, Italy, September 15–19, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4280-29-7/hbk). Series on Advances in Mathematics for Applied Sciences 82, 208-219 (2010).
Summary: Metastability is observed when a physical system is close to a first order phase transition. In this paper the metastable behavior of a two state reversible probabilistic cellular automaton with self-interaction is discussed. Depending on the self-interaction, competing metastable states arise and a behavior very similar to that of the three state Blume-Capel spin model is found.
For the entire collection see [Zbl 1182.00024].
For the entire collection see [Zbl 1182.00024].
MSC:
| 82B26 | Phase transitions (general) in equilibrium statistical mechanics |
| 68Q80 | Cellular automata (computational aspects) |
