Universal finite-size scaling amplitudes in anisotropic scaling

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dc.creatorHenkel, Malte
dc.creatorSchollwöck, Ulrich
dc.date2000-10-04
dc.date2001-03-22
dc.date.accessioned2026-07-07T10:51:37Z
dc.date.available2026-07-07T10:51:37Z
dc.descriptionPhenomenological scaling arguments suggest the existence of universal amplitudes in the finite-size scaling of certain correlation lengths in strongly anisotropic or dynamical phase transitions. For equilibrium systems, provided that translation invariance and hyperscaling are valid, the Privman-Fisher scaling form of isotropic equilibrium phase transitions is readily generalized. For non-equilibrium systems, universality is shown analytically for directed percolation and is tested numerically in the annihilation-coagulation model and in the pair contact process with diffusion. In these models, for both periodic and free boundary conditions, the universality of the finite-size scaling amplitude of the leading relaxation time is checked. Amplitude universality reveals strong transient effects along the active-inactive transition line in the pair contact process.
dc.description16 pages, Latex, 2 figures, final version, to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/cond-mat/0010061
dc.identifierhttp://arxiv.org/abs/cond-mat/0010061
dc.identifierJ.Phys.A34:3333-3350,2001
dc.identifierdoi:10.1088/0305-4470/34/16/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184878
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleUniversal finite-size scaling amplitudes in anisotropic scaling
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