Universal finite size scaling amplitudes in anisotropic scaling
Oct, 2000Citations per year
Abstract: (arXiv)
Phenomenological 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.Note:
- 16 pages, Latex, 2 figures, final version, to appear in J. Phys. A Subj-class: Statistical Mechanics Journal-ref: J. Phys. A34, 3333-3350 (2001)
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