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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 |
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Institute of Theoretical Physics |
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Chinese Academy of Sciences |
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Seminar |
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Title
题目 |
Irreversible Markov Chains for Particle Systems and Spin Models: Mixing and Dynamical Scaling |
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Speaker
报告人 |
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Affiliation
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| Laboratoire de Physique Statistique, école Normale Supérieure de Paris | |
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Date
日期 |
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Venue
地点 |
6520 ITP South Building |
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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. |
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Contact Person
所内联系人 |
金瑜亮 |
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