Randomly driven granular fluids: collisional statistics and short scale structure

We present a molecular dynamics and kinetic theory study of granular material, modeled by inelastic hard disks, fluidized by a random driving force. The focus is on collisional averages and short distance correlations in the non-equilibrium steady state, in order to analyze in a quantitative manner...

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Autores: Pagonabarraga Mora, Ignacio, Trizac, Emmanuel, Van Noije, T. P. C., Ernst, M. H.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2001
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18820
Acceso en línea:https://hdl.handle.net/2445/18820
Access Level:acceso abierto
Palabra clave:Materials granulars
Teoria cinètica dels gasos
Termodinàmica del desequilibri
Granular materials
Kinetic theory of gases
Nonequilibrium thermodynamics
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spelling Randomly driven granular fluids: collisional statistics and short scale structurePagonabarraga Mora, IgnacioTrizac, EmmanuelVan Noije, T. P. C.Ernst, M. H.Materials granularsTeoria cinètica dels gasosTermodinàmica del desequilibriGranular materialsKinetic theory of gasesNonequilibrium thermodynamicsWe present a molecular dynamics and kinetic theory study of granular material, modeled by inelastic hard disks, fluidized by a random driving force. The focus is on collisional averages and short distance correlations in the non-equilibrium steady state, in order to analyze in a quantitative manner the breakdown of molecular chaos, i.e. factorization of the two-particle distribution function, $f^{(2)}(x_1,x_2) \simeq \chi f^(1)(x_1) f^{(1)}(x_2)$ in a product of single particle ones, where $x_i = \{{\bf r}_i, {\bf v}_i \}$ with $i=1,2$ and $\chi$ represents the position correlation. We have found that molecular chaos is only violated in a small region of the two-particle phase space $\{x_1,x_2\}$, where there is a predominance of grazing collisions. The size of this singular region grows with increasing inelasticity. The existence of particle- and noise-induced recollisions magnifies the departure from mean field behavior. The implications of this breakdown in several physical quantities are explored.The American Physical Society2001info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/18820Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.65.011303Physical Review E, 2001, vol. 65, núm. 1, p. 011303-1-011303-19http://doi.org/10.1103/PhysRevE.65.011303(c) American Physical Society, 2001info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/188202026-05-27T06:46:51Z
dc.title.none.fl_str_mv Randomly driven granular fluids: collisional statistics and short scale structure
title Randomly driven granular fluids: collisional statistics and short scale structure
spellingShingle Randomly driven granular fluids: collisional statistics and short scale structure
Pagonabarraga Mora, Ignacio
Materials granulars
Teoria cinètica dels gasos
Termodinàmica del desequilibri
Granular materials
Kinetic theory of gases
Nonequilibrium thermodynamics
title_short Randomly driven granular fluids: collisional statistics and short scale structure
title_full Randomly driven granular fluids: collisional statistics and short scale structure
title_fullStr Randomly driven granular fluids: collisional statistics and short scale structure
title_full_unstemmed Randomly driven granular fluids: collisional statistics and short scale structure
title_sort Randomly driven granular fluids: collisional statistics and short scale structure
dc.creator.none.fl_str_mv Pagonabarraga Mora, Ignacio
Trizac, Emmanuel
Van Noije, T. P. C.
Ernst, M. H.
author Pagonabarraga Mora, Ignacio
author_facet Pagonabarraga Mora, Ignacio
Trizac, Emmanuel
Van Noije, T. P. C.
Ernst, M. H.
author_role author
author2 Trizac, Emmanuel
Van Noije, T. P. C.
Ernst, M. H.
author2_role author
author
author
dc.subject.none.fl_str_mv Materials granulars
Teoria cinètica dels gasos
Termodinàmica del desequilibri
Granular materials
Kinetic theory of gases
Nonequilibrium thermodynamics
topic Materials granulars
Teoria cinètica dels gasos
Termodinàmica del desequilibri
Granular materials
Kinetic theory of gases
Nonequilibrium thermodynamics
description We present a molecular dynamics and kinetic theory study of granular material, modeled by inelastic hard disks, fluidized by a random driving force. The focus is on collisional averages and short distance correlations in the non-equilibrium steady state, in order to analyze in a quantitative manner the breakdown of molecular chaos, i.e. factorization of the two-particle distribution function, $f^{(2)}(x_1,x_2) \simeq \chi f^(1)(x_1) f^{(1)}(x_2)$ in a product of single particle ones, where $x_i = \{{\bf r}_i, {\bf v}_i \}$ with $i=1,2$ and $\chi$ represents the position correlation. We have found that molecular chaos is only violated in a small region of the two-particle phase space $\{x_1,x_2\}$, where there is a predominance of grazing collisions. The size of this singular region grows with increasing inelasticity. The existence of particle- and noise-induced recollisions magnifies the departure from mean field behavior. The implications of this breakdown in several physical quantities are explored.
publishDate 2001
dc.date.none.fl_str_mv 2001
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/18820
url https://hdl.handle.net/2445/18820
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.65.011303
Physical Review E, 2001, vol. 65, núm. 1, p. 011303-1-011303-19
http://doi.org/10.1103/PhysRevE.65.011303
dc.rights.none.fl_str_mv (c) American Physical Society, 2001
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2001
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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