Stretched-exponential behavior and random walks on diluted hypercubic lattices

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dc.contributor.authorLemke, N. [UNESP]
dc.contributor.authorCampbell, Ian A.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversité Montpellier II
dc.date.accessioned2022-04-29T01:26:54Z
dc.date.available2022-04-29T01:26:54Z
dc.date.issued2011-10-18
dc.description.abstractDiffusion on a diluted hypercube has been proposed as a model for glassy relaxation and is an example of the more general class of stochastic processes on graphs. In this article we determine numerically through large-scale simulations the eigenvalue spectra for this stochastic process and calculate explicitly the time evolution for the autocorrelation function and for the return probability, all at criticality, with hypercube dimensions N up to N=28. We show that at long times both relaxation functions can be described by stretched exponentials with exponent 1/3 and a characteristic relaxation time which grows exponentially with dimension N. The numerical eigenvalue spectra are consistent with analytic predictions for a generic sparse network model. © 2011 American Physical Society.en
dc.description.affiliationDepartamento de Física e Biofísica Instituto de Biociências de Botucatu UNESP - Universidade Estadual Paulista, Distrito de Rubião Jr. s/n Botucatu, São Paulo 18618-970
dc.description.affiliationLaboratoire Charles Coulomb Université Montpellier II, F-34095 Montpellier
dc.description.affiliationUnespDepartamento de Física e Biofísica Instituto de Biociências de Botucatu UNESP - Universidade Estadual Paulista, Distrito de Rubião Jr. s/n Botucatu, São Paulo 18618-970
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.84.041126
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 84, n. 4, 2011.
dc.identifier.doi10.1103/PhysRevE.84.041126
dc.identifier.issn1539-3755
dc.identifier.issn1550-2376
dc.identifier.scopus2-s2.0-80055008384
dc.identifier.urihttp://hdl.handle.net/11449/226578
dc.language.isoeng
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.sourceScopus
dc.titleStretched-exponential behavior and random walks on diluted hypercubic latticesen
dc.typeArtigo

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