Critical dimensions of the diffusion equation

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dc.creatorNewman, T. J.
dc.creatorLoinaz, Will
dc.date2000-09-22
dc.date.accessioned2026-07-07T12:33:04Z
dc.date.available2026-07-07T12:33:04Z
dc.descriptionWe study the evolution of a random initial field under pure diffusion in various space dimensions. From numerical calculations we find that the persistence properties of the system show sharp transitions at critical dimensions d1 ~ 26 and d2 ~ 46. We also give refined measurements of the persistence exponents for low dimensions.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0009365
dc.identifierhttp://arxiv.org/abs/cond-mat/0009365
dc.identifierPhys.Rev.Lett.86:2712-2715,2001
dc.identifierdoi:10.1103/PhysRevLett.86.2712
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217002
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.subjectCellular Automata and Lattice Gases
dc.subjectAtomic Physics
dc.titleCritical dimensions of the diffusion equation
dc.typetext

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