2000/10/31 by Malte Henkel, Ulrich Schollwöck · 34 citations
Materials Science · Mathematics · Physics and Astronomy · #Amplitude #Condensed matter physics #Critical exponent #Directed percolation #Geometry #Isotropy #Material Dynamics and Properties #Mathematical physics #Mathematics #Phase transition #Physics #Quantum mechanics #Renormalization group #Scaling #Spectroscopy and Quantum Chemical Studies #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #Widom scaling #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1088/0305-4470/34/16/301
published in Journal of Physics A Mathematical and General 34(16), 3333-3350 (Institute of Physics) · 16 pages, Latex, 2 figures, final version, to appear in J. Phys. A
arxiv created 2001/03/22 · openalex publication_date 2001/04/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.