Stretched-exponential behavior and random walks on diluted hypercubic lattices
dc.contributor.author | Lemke, N. [UNESP] | |
dc.contributor.author | Campbell, Ian A. | |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
dc.contributor.institution | Université Montpellier II | |
dc.date.accessioned | 2022-04-29T01:26:54Z | |
dc.date.available | 2022-04-29T01:26:54Z | |
dc.date.issued | 2011-10-18 | |
dc.description.abstract | Diffusion 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.affiliation | Departamento 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.affiliation | Laboratoire Charles Coulomb Université Montpellier II, F-34095 Montpellier | |
dc.description.affiliationUnesp | Departamento 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.identifier | http://dx.doi.org/10.1103/PhysRevE.84.041126 | |
dc.identifier.citation | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 84, n. 4, 2011. | |
dc.identifier.doi | 10.1103/PhysRevE.84.041126 | |
dc.identifier.issn | 1539-3755 | |
dc.identifier.issn | 1550-2376 | |
dc.identifier.scopus | 2-s2.0-80055008384 | |
dc.identifier.uri | http://hdl.handle.net/11449/226578 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | |
dc.source | Scopus | |
dc.title | Stretched-exponential behavior and random walks on diluted hypercubic lattices | en |
dc.type | Artigo |