Percolation of clusters with a residence time in the bond definition: Integral equation theory

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We consider the clustering and percolation of continuum systems whose particles interact via the Lennard-Jones pair potential. A cluster definition is used according to which two particles are considered directly connected (bonded) at time t if they remain within a distance d, the connectivity dista...

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Autores principales: Zarragoicoechea, Guillermo Jorge, Pugnaloni, Luis A., Lado, Fred, Lomba, Enrique, Vericat, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2005
Materias:
Física
Cluster (physics)
Mathematical analysis
Percolation
Social connectedness
Integral equation
Pair potential
Residence time (statistics)
Mathematics
Function (mathematics)
Continuum (topology)
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126013
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126013
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Cluster (physics)
Mathematical analysis
Percolation
Social connectedness
Integral equation
Pair potential
Residence time (statistics)
Mathematics
Function (mathematics)
Continuum (topology)
spellingShingle Física
Cluster (physics)
Mathematical analysis
Percolation
Social connectedness
Integral equation
Pair potential
Residence time (statistics)
Mathematics
Function (mathematics)
Continuum (topology)
Zarragoicoechea, Guillermo Jorge
Pugnaloni, Luis A.
Lado, Fred
Lomba, Enrique
Vericat, Fernando
Percolation of clusters with a residence time in the bond definition: Integral equation theory
topic_facet Física
Cluster (physics)
Mathematical analysis
Percolation
Social connectedness
Integral equation
Pair potential
Residence time (statistics)
Mathematics
Function (mathematics)
Continuum (topology)
description We consider the clustering and percolation of continuum systems whose particles interact via the Lennard-Jones pair potential. A cluster definition is used according to which two particles are considered directly connected (bonded) at time t if they remain within a distance d, the connectivity distance, during at least a time of duration tau, the residence time. An integral equation for the corresponding pair connectedness function, recently proposed by two of the authors [Phys. Rev. E 61, R6067 (2000)], is solved using the orthogonal polynomial approach developed by another of the authors [Phys. Rev. E 55, 426 (1997)]. We compare our results with those obtained by molecular dynamics simulations.
format Articulo
Articulo
author Zarragoicoechea, Guillermo Jorge
Pugnaloni, Luis A.
Lado, Fred
Lomba, Enrique
Vericat, Fernando
author_facet Zarragoicoechea, Guillermo Jorge
Pugnaloni, Luis A.
Lado, Fred
Lomba, Enrique
Vericat, Fernando
author_sort Zarragoicoechea, Guillermo Jorge
title Percolation of clusters with a residence time in the bond definition: Integral equation theory
title_short Percolation of clusters with a residence time in the bond definition: Integral equation theory
title_full Percolation of clusters with a residence time in the bond definition: Integral equation theory
title_fullStr Percolation of clusters with a residence time in the bond definition: Integral equation theory
title_full_unstemmed Percolation of clusters with a residence time in the bond definition: Integral equation theory
title_sort percolation of clusters with a residence time in the bond definition: integral equation theory
publishDate 2005
url http://sedici.unlp.edu.ar/handle/10915/126013
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