Department Seminars & Colloquia

Category SAARC Seminar
Event SAARC Seminar
Title Energy landscape and metastability of Ising model without external field
Abstract In this talk, we consider the Ising and Potts model defined on large lattices of dimension two or three at very low temperature regime. Under this regime, each monochromatic spin configuration is metastable in that exit from the energetic valley around that configuration is exponentially difficult. It is well-known that, under the presence of external magnetic fields, the metastable transition from a monochromatic configuration to another one is characterized solely by the appearance of a critical droplet. On the other hand, for the model without external field, the saddle structure is no longer characterized by a sharp droplet but has a huge and complex plateau structure. In this talk, we explain our recent research on the analysis of this energy landscape and its application to the demonstration of Eyring-Kramers formula for models on fixed two or three dimensional lattice (cf. https://arxiv.org/abs/2102.05565) or models on growing two-dimensional lattice (cf. https://arxiv.org/abs/2109.13583).
Daytime 2022-06-08 (Wed) / 16:00 ~ 17:00 ** 날짜에 유의하세요. **
Place 산업경영학동(E2) Room 1228
Language Korean English if it is requested
Speaker`s name Seo, Insuk
Speakers`s Affiliation Seoul National University
Speaker`s homepage
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