1998/07/06 by Geza Odor, Géza Ódor, J. F. F. Mendes +5 · 22 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Condensed matter physics #Critical exponent #Critical point (mathematics) #Exponent #Field (mathematics) #Initial value problem #Mathematical analysis #Mathematics #Phase transition #Physics #Power law #Pure mathematics #Quantum mechanics #Relaxation (psychology) #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.58.7020
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 58(6), 7020-7026 (American Physical Society) · 11 pages, 11 figures (included)
arxiv created 1998/07/06 · openalex publication_date 1998/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have investigated the effect of the initial condition on the spreading exponents of the one-dimensional pair contact process (PCP) and threshold transfer process. The nonorder field was found to exhibit critical fluctuations, relaxing to its natural value with the same power law as the order parameter field. We argue that this slow relaxation, which was not taken into account in earlier studies of these models, is responsible for the continuously changing survival probability exponent. High-precision numerical simulations show evidence of a (slight) dependence of the location of the transition point on the initial concentration, in the case of PCP. The damage spreading point and the spreading exponents coincide with those of the ordinary critical point in both cases.