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

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...

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Main Authors: D. Slobinsky, Luis A. Pugnaloni
Format: Article
Language:English
Published: Papers in Physics 2015-03-01
Series:Papers in Physics
Subjects:
Online Access:http://www.papersinphysics.org/index.php/papersinphysics/article/view/239/pdf239
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author D. Slobinsky
Luis A. Pugnaloni
author_facet D. Slobinsky
Luis A. Pugnaloni
author_sort D. Slobinsky
collection DOAJ
description 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)
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spelling doaj.art-2bd33377949249a98e7929340d8631352022-12-22T00:33:13ZengPapers in PhysicsPapers in Physics1852-42491852-42492015-03-017007000110.4279/PIP.070001Wang--Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packingsD. Slobinsky0Luis A. Pugnaloni1Departamento de Ingeniería Mecánica, Facultad Regional La Plata, Universidad Tecnológica Nacional, Av. 60 Esq. 124, 1900 La Plata, ArgentinaDepartamento de Ingeniería Mecánica, Facultad Regional La Plata, Universidad Tecnológica Nacional, Av. 60 Esq. 124, 1900 La Plata, ArgentinaWe 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)http://www.papersinphysics.org/index.php/papersinphysics/article/view/239/pdf239Granular physicsPackingsStatistical physics
spellingShingle D. Slobinsky
Luis A. Pugnaloni
Wang--Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packings
Papers in Physics
Granular physics
Packings
Statistical physics
title Wang--Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packings
title_full Wang--Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packings
title_fullStr Wang--Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packings
title_full_unstemmed Wang--Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packings
title_short Wang--Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packings
title_sort wang landau algorithm for entropic sampling of arch based microstates in the volume ensemble of static granular packings
topic Granular physics
Packings
Statistical physics
url http://www.papersinphysics.org/index.php/papersinphysics/article/view/239/pdf239
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