| 蒙特卡罗模拟在非平衡动态系统中的应用 |
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| 引用本文： | 刘明哲,庹先国,王磊,李哲.蒙特卡罗模拟在非平衡动态系统中的应用[J].强激光与粒子束,2013,25(1):263-268. |
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| 作者姓名： | 刘明哲 庹先国 王磊 李哲 |
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| 作者单位： | 1.地质灾害防治与地质环境保护国家重点实验室, 成都 61 0059; |
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| 基金项目： | Support Program of State Key Laboratory of Geohazard Prevention and Geoenvironment Protection (2011Z006); Science and Technology Support Program of Sichuan Province (2012GZX0088) and Chengdu University of Technology ( HG0092) |
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| 摘 要： | 非平衡系统几乎存在于自然和人造系统的各个层面上，它以非零连续的流量为特征。完全非对称简单排他过程被认为是对这类系统建模和模拟的一个范例。对蒙特卡罗方法如何模拟该类系统进行了介绍。分析了通过蒙特卡罗模拟观察到的一些有趣的物理现象如自发性对称破缺、有限尺寸效应和跳跃过程。非对称的低-低密度相破缺与系统的有限尺寸效应密切相关，建议开展更细致的蒙特卡罗模拟以进一步加深对仍处于争论中的非平衡系统有限尺寸效应的认识。
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| 关 键 词： | 蒙特卡罗模拟 非平衡统计力学 完全非对称排他过程 自发性对称破缺 |
| 收稿时间： | 2012/6/26 |
Application of Monte Carlo simulations to non-equilibrium dynamic systems |
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| Liu Mingzhe,Tuo Xianguo,Wang Lei,Li Zhe.Application of Monte Carlo simulations to non-equilibrium dynamic systems[J].High Power Laser and Particle Beams,2013,25(1):263-268. |
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| Authors: | Liu Mingzhe Tuo Xianguo Wang Lei Li Zhe |
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| Affiliation: | 1.State Key Laboratory of Geohazard Prevention and Geoenvironment Protection,Chengdu 610059,China;2.College of Nuclear Technology and Automation Engineering,Chengdu University of Technology,Chengdu 610059,China |
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| Abstract: | Non-equilibrium systems have been observed at almost all levels of natural and manmade systems, which are characterized by non-zero continuous traffic currents. The totally asymmetric simple exclusion process (TASEP) has been regarded as a paradigm for modeling and simulation of such non-equilibrium dynamic systems. These TASEP systems are simulated with Monte Carlo methods and analyzed using mean field approaches in this paper. Some interesting physical phenomena such as spontaneous symmetry breaking, finite-size effect, and flipping process, were observed via Monte Carlo simulations, and are discussed in detail. More careful Monte Carlo simulations are suggested to confirm the finite-size effect argued in the literature. |
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| Keywords: | Monte Carlo simulations non-equilibrium statistical mechanics totally asymmetric simple exclusion process spontaneous symmetry breaking |
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