2003/05/27 by S. Lübeck, S. Lubeck, Janet Lorraine Hughes · 1 citation
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · Social Sciences · #Complex Systems and Time Series Analysis #Library Science and Administration #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.90.210601
published as Physical Review Letters 90, 210601 (2003) · 4 pages, 3 figures
arxiv created 2003/07/14 · arxiv updated 2009/12/01 · openalex publication_date 2012/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We consider two different systems exhibiting a continuous phase transition into an absorbing state. Both models belong to the same universality class; i.e., they are characterized by the same scaling functions and the same critical exponents. Varying the range of interactions, we examine the crossover from the mean-field-like to the non-mean-field scaling behavior. A phenomenological scaling form is applied in order to describe the full crossover region, which spans several decades. Our results strongly support the hypothesis that the crossover function is universal.