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群体退火：自旋玻璃中的理论与应用

Population annealing: Theory and application in spin glasses.

作者信息

Wang Wenlong, Machta Jonathan, Katzgraber Helmut G

机构信息

Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA.

Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):063307. doi: 10.1103/PhysRevE.92.063307. Epub 2015 Dec 16.

DOI:10.1103/PhysRevE.92.063307
PMID:26764853
Abstract

Population annealing is an efficient sequential Monte Carlo algorithm for simulating equilibrium states of systems with rough free-energy landscapes. The theory of population annealing is presented, and systematic and statistical errors are discussed. The behavior of the algorithm is studied in the context of large-scale simulations of the three-dimensional Ising spin glass and the performance of the algorithm is compared to parallel tempering. It is found that the two algorithms are similar in efficiency though with different strengths and weaknesses.

摘要

群体退火是一种用于模拟具有粗糙自由能景观的系统平衡态的高效序贯蒙特卡罗算法。本文介绍了群体退火理论，并讨论了系统误差和统计误差。在三维伊辛自旋玻璃的大规模模拟背景下研究了该算法的行为，并将其性能与并行回火进行了比较。结果发现，这两种算法在效率上相似，但各有优缺点。

相似文献

1
Population annealing: Theory and application in spin glasses.群体退火：自旋玻璃中的理论与应用
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):063307. doi: 10.1103/PhysRevE.92.063307. Epub 2015 Dec 16.
2
Comparing Monte Carlo methods for finding ground states of Ising spin glasses: Population annealing, simulated annealing, and parallel tempering.比较用于寻找伊辛自旋玻璃基态的蒙特卡罗方法：种群退火、模拟退火和平行回火。
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jul;92(1):013303. doi: 10.1103/PhysRevE.92.013303. Epub 2015 Jul 6.
3
Population annealing with weighted averages: a Monte Carlo method for rough free-energy landscapes.带加权平均的群体退火：一种用于粗糙自由能景观的蒙特卡罗方法。
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Aug;82(2 Pt 2):026704. doi: 10.1103/PhysRevE.82.026704. Epub 2010 Aug 18.
4
Measuring free energy in spin-lattice models using parallel tempering Monte Carlo.使用并行回火蒙特卡罗方法测量自旋晶格模型中的自由能。
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 May;91(5):053303. doi: 10.1103/PhysRevE.91.053303. Epub 2015 May 12.
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Analysis and optimization of population annealing.人口退火的分析与优化。
Phys Rev E. 2018 Mar;97(3-1):033301. doi: 10.1103/PhysRevE.97.033301.
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Correlations between the dynamics of parallel tempering and the free-energy landscape in spin glasses.自旋玻璃中并行回火动力学与自由能景观之间的相关性。
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jan;87(1):012104. doi: 10.1103/PhysRevE.87.012104. Epub 2013 Jan 4.
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Population annealing simulations of a binary hard-sphere mixture.二元硬球混合物的群体退火模拟。
Phys Rev E. 2017 Jun;95(6-1):063315. doi: 10.1103/PhysRevE.95.063315. Epub 2017 Jun 27.
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Extended state-space Monte Carlo methods.扩展状态空间蒙特卡罗方法。
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 May;63(5 Pt 2):056701. doi: 10.1103/PhysRevE.63.056701. Epub 2001 Apr 13.
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Strengths and weaknesses of parallel tempering.并行回火的优点和缺点。
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Nov;80(5 Pt 2):056706. doi: 10.1103/PhysRevE.80.056706. Epub 2009 Nov 24.
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Quantum versus classical annealing: insights from scaling theory and results for spin glasses on 3-regular graphs.量子退火与经典退火：来自标度理论的见解及三正则图上自旋玻璃的结果
Phys Rev Lett. 2015 Apr 10;114(14):147203. doi: 10.1103/PhysRevLett.114.147203. Epub 2015 Apr 7.

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