Wang-Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packings

IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY

Papers in Physics Pub Date : 2015-03-09 DOI:10.4279/PIP.070001

D. Slobinsky, L. Pugnaloni

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引用次数: 2

Abstract

We implement the Wang-Landau algorithm to sample with equal probabilities the static configurations of a model granular system. The "non-interacting rigid arch model" used is based on the description of static configurations by means of splitting the assembly of grains into sets of stable arches. This technique allows us to build the entropy as a function of the volume of the packing for large systems. We make a special note of the details that have to be considered when defining the microstates and proposing the moves for the correct sampling in these unusual models. We compare our results with previous exact calculations of the model made at moderate system sizes. The technique opens a new opportunity to calculate the entropy of more complex granular models. Received: 19 January 2015, Accepted: 25 February 2015; Reviewed by: M. Pica Ciamarra, Nanyang Technological University, Singapore; Edited by: C. S. O'Hern; DOI: http://dx.doi.org/10.4279/PIP.070001 Cite as: D Slobinsky, L A Pugnaloni, Papers in Physics 7, 070001 (2015) This paper, by Demian Slobinsky, Luis Ariel Pugnaloni , is licensed under the Creative Commons Attribution License 3.0 .

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静态颗粒填料体积系综中拱微态熵采样的Wang-Landau算法

我们实现了Wang-Landau算法，以等概率对模型颗粒系统的静态配置进行采样。所使用的“非相互作用刚性拱模型”是基于静态构型的描述，通过将颗粒组合拆分为稳定拱组。这种技术允许我们将熵建立为大型系统包装体积的函数。在这些不寻常的模型中，当定义微观状态并提出正确采样的移动时，我们会特别注意必须考虑的细节。我们将我们的结果与先前在中等系统大小下所做的模型的精确计算进行比较。该技术为计算更复杂颗粒模型的熵提供了新的机会。收稿日期:2015年1月19日，收稿日期:2015年2月25日;评审:M. Pica Ciamarra，新加坡南洋理工大学;编辑:C. S. O'Hern;出处:http://dx.doi.org/10.4279/PIP.070001引用为:D Slobinsky, L A Pugnaloni, Papers in Physics 7, 070001(2015)本文由Demian Slobinsky, Luis Ariel Pugnaloni撰写，使用知识共享署名许可3.0。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Papers in Physics PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.90

自引率

0.00%

发文量

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