Elastic properties of two dimensional hard discs in the close packing limit

Elastic constants and the Poisson ratio of defect-free hard disc solid are determined by two independent methods: (1) analysis of the box side fluctuations in the NpT ensemble with variable box +shape and (2) numerical differentiation (with respect to strain components) of the free energy computed i...

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Detalles Bibliográficos
Autores principales: Wojciechowski, K W, Branka, A C, Kowalik, M, Tretiakov, K V
Lenguaje:eng
Publicado: 2003
Materias:
General Theoretical Physics
Acceso en línea:http://cds.cern.ch/record/747611
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author Wojciechowski, K W
Branka, A C
Kowalik, M
Tretiakov, K V
author_facet Wojciechowski, K W
Branka, A C
Kowalik, M
Tretiakov, K V
author_sort Wojciechowski, K W
collection CERN
description Elastic constants and the Poisson ratio of defect-free hard disc solid are determined by two independent methods: (1) analysis of the box side fluctuations in the NpT ensemble with variable box +shape and (2) numerical differentiation (with respect to strain components) of the free energy computed in the NVT ensemble. It is shown that reasonable estimates of the elastic properties can be obtained by studying small systems and that the singular behavior of the elastic constants near close packing is well described by the free volume approximation; the coefficients of the leading singularities are estimated.
id cern-747611
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
record_format invenio
spelling cern-7476112019-09-30T06:29:59Zhttp://cds.cern.ch/record/747611engWojciechowski, K WBranka, A CKowalik, MTretiakov, K VElastic properties of two dimensional hard discs in the close packing limitGeneral Theoretical PhysicsElastic constants and the Poisson ratio of defect-free hard disc solid are determined by two independent methods: (1) analysis of the box side fluctuations in the NpT ensemble with variable box +shape and (2) numerical differentiation (with respect to strain components) of the free energy computed in the NVT ensemble. It is shown that reasonable estimates of the elastic properties can be obtained by studying small systems and that the singular behavior of the elastic constants near close packing is well described by the free volume approximation; the coefficients of the leading singularities are estimated.IC-2003-10KBN-4-T-11-F-010-23oai:cds.cern.ch:7476112003
spellingShingle General Theoretical Physics
Wojciechowski, K W
Branka, A C
Kowalik, M
Tretiakov, K V
Elastic properties of two dimensional hard discs in the close packing limit
title Elastic properties of two dimensional hard discs in the close packing limit
title_full Elastic properties of two dimensional hard discs in the close packing limit
title_fullStr Elastic properties of two dimensional hard discs in the close packing limit
title_full_unstemmed Elastic properties of two dimensional hard discs in the close packing limit
title_short Elastic properties of two dimensional hard discs in the close packing limit
title_sort elastic properties of two dimensional hard discs in the close packing limit
topic General Theoretical Physics
url http://cds.cern.ch/record/747611
work_keys_str_mv AT wojciechowskikw elasticpropertiesoftwodimensionalharddiscsintheclosepackinglimit
AT brankaac elasticpropertiesoftwodimensionalharddiscsintheclosepackinglimit
AT kowalikm elasticpropertiesoftwodimensionalharddiscsintheclosepackinglimit
AT tretiakovkv elasticpropertiesoftwodimensionalharddiscsintheclosepackinglimit

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