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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Papers in Physics
2015-03-01
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Series: | Papers in Physics |
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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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issn | 1852-4249 1852-4249 |
language | English |
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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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