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

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

doi:10.1016/j.physa.2014.02.074

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 / r α . 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).

Titolo:	Non-universality of the absorbing-state phase-transition in a linear chain with power-law diluted long-range connections.
Autori:	da Silva M. B Da Silva P. C Macedo Filho A Lyra M. L Albuquerque E. L SERVA, Maurizio Fulco U. L. mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2014
Rivista:	PHYSICA. A
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 / r α . 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).
Handle:	http://hdl.handle.net/11697/1150
Appare nelle tipologie:	1.1 Articolo in rivista

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