Non-universality of the absorbing-state phase-transition in a linear chain with power-law diluted long-range connections

M.B. da Silva, P.C. Da Silva, A. Macedo-Filho, M.L. Lyra, M. Serva, E.L. Albuquerque and U.L. Fulco

Physica A: Statistical Mechanics and its Applications, 2014, vol. 404, issue C, 271-278

Abstract: In this work we study the critical behavior of the absorbing state phase transition exhibited by the contact process in a linear chain with power-law diluted long-range connections. Each pair of sites is connected with a probability P(r) that decays with the distance between the sites r as 1/rα. The model allows for a continuous tuning between a standard one-dimensional chain with only nearest neighbor couplings (α→∞) to a fully connected network (α=0). We develop a finite-size scaling analysis to obtain the critical point and a set of dynamical and stationary critical exponents for distinct values of the decay exponent α>2 corresponding to finite average bond lengths and low average site connectivity. Data for the order parameter collapse over a universal curve when plotted after a proper rescaling of parameters. We show further that the critical exponents depend on α in the regime of diverging bond-length fluctuations (α<3).

Keywords: Critical point phenomena; Phase transition; Epidemic process (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:404:y:2014:i:c:p:271-278

DOI: 10.1016/j.physa.2014.02.074

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