Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Scaling Relations in Absorbing Phase Transitions with a Conserved Field in One Dimension

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_83,
        author={Sang-Gui Lee and Sang Lee},
        title={Scaling Relations in Absorbing Phase Transitions with a Conserved Field in One Dimension},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={absorbing phase transition conserved lattice gas conserved threshold transfer process critical exponents scaling relations},
        doi={10.1007/978-3-642-02466-5_83}
    }
    
  • Sang-Gui Lee
    Sang Lee
    Year: 2012
    Scaling Relations in Absorbing Phase Transitions with a Conserved Field in One Dimension
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_83
Sang-Gui Lee1, Sang Lee1,*
  • 1: Kyungpook National University
*Contact email: sblee@knu.ac.kr

Abstract

Validity of two scaling relations  = 

             and  = 
            / 
             widely known in absorbing phase transitions is studied for the conserved lattice gas (CLG) model and the conserved threshold transfer process CTTP) both in one dimension. For the CLG model, it is found that both relations hold when the critical exponents calculated from the all-sample average density of active particles are considered. For the CTTP model, various exponents are calculated via Monte Carlo simulations and they are confirmed by the off-critical scaling and the finite-size scaling analyses. The exponents estimated from the all-sample averages again satisfy both relations. These observations are in strict disagreement with earlier observations in two dimensions [Phys. Rev. Lett. , 1803 (2000); Phys Rev. E , 056102 (2003)] but support the more recent observation for the CLG model [Phys. Rev. E , 040103(R) (2008)].