4.7 Article

Validity of scaling relations in absorbing phase transitions with a conserved field

Journal

PHYSICAL REVIEW E
Volume 78, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.78.040103

Keywords

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Funding

  1. Korea Science and Engineering Foundation [R01-2008-000-10886-0]
  2. National Research Foundation of Korea [R01-2008-000-10886-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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The two scaling relations in absorbing phase transitions, nu(parallel to)=beta/theta and z=nu(parallel to)/nu(perpendicular to), are studied for a conserved lattice gas model. The critical indices calculated elaborately from the all-sample average density of active particles appear to satisfy both relations. However, the exponent nu(perpendicular to) calculated from the surviving samples does not appear to be consistent with the value in the thermodynamic limit. This is in contrast with earlier observations [M. Rossi , Phys. Rev. Lett. 85, 1803 (2000); S. Lubeck and P. C. Heger, Phys. Rev. E. 68, 056102 (2003)], in that the former scaling relation was claimed to be violated.

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