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Absorbing phase transition in the three dimensional fermionic parity-conserving particle process

Author

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  • Argolo, C.
  • Tenório, V.
  • Gléria, Iram

Abstract

By use of a Monte Carlo procedure we analyze a stochastic lattice model with parity-conserving particle process, previously considered in Takayasu and Tretyakov (1991). We perform simulations on a regular three-dimensional (3D) lattice in order to determine the threshold of absorbing phase transition. A finite-time scaling analysis is employed to calculate the critical exponents at the critical diffusion probability pc, below which a finite density of particles is developed in the long-time limit. From steady state simulations and finite-time scaling analysis we obtained these critical exponents and found them to differ from those of the 3D directed percolation (DP) universality class. We also calculated the short-time relaxation dynamical critical exponents and checked the consistence with the hyperscaling relation.

Suggested Citation

  • Argolo, C. & Tenório, V. & Gléria, Iram, 2019. "Absorbing phase transition in the three dimensional fermionic parity-conserving particle process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119309409
    DOI: 10.1016/j.physa.2019.121594
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