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| Irreversible Markov Chains for Particle Systems and Spin Models: Mixing and Dynamical Scaling |
| 2019-04-29
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| CAS Key Laboratory of Theoretical Physics | | Institute of Theoretical Physics | | Chinese Academy of Sciences | | Seminar | | Title 题目 | Irreversible Markov Chains for Particle Systems and Spin Models: Mixing and Dynamical Scaling | | Speaker 报告人 | | | Affiliation 所在单位 | | Laboratoire de Physique Statistique, école Normale Supérieure de Paris | | | Date 日期 | | | Venue 地点 | 6520 ITP South Building | | Abstract 摘要 | This seminar presents irreversible Markov chains in particle and spin systems, focusing on the difference between the scales of "mixing time" and "relaxation time" in the dynamics. In particular, the mechanism of an "event-chain" algorithm in one-dimensional hard-sphere model is related to a coupon-collector problem; in two-dimensional XY model, a slow vortex-pair mode and a fast spin-wave mode are spotted. As a generalization, a new optimization ("factor field") is proposed based on the previous studies, and a super-diffusive behavior is identified in the present algorithm. | | Contact Person 所内联系人 | 金瑜亮 |
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