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

Argolo, C.; Tenório, V.; Gleria, Iram

doi:10.1016/j.physa.2019.121594

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“…A similar influence should be expected for non-equilibrium phase transitions as the one considered here. Very recently, we applied this approach for the 3D absorbing phase transition model [25] and it worked well.…”

Section: Summary and Concluding Remarksmentioning

confidence: 97%

Absorbing phase transition in a parity-conserving particle process on a Sierpinski carpet fractal

Argolo¹,

Tenório²,

Gleria³

2019

J. Stat. Mech.

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We study a stochastic lattice model with parity-conserving particle process using a Monte Carlo procedure. We perform simulations on a Sierpinski carpet fractal with dimension D f = ln 8/ ln 3. We calculate the critical exponents at the threshold of the absorbing phase transition at the known value for the critical diusion p c = 1 (Cardy and Tauber 1996 Phys. Rev. Lett. 77 4780). Using finite-size and finite-time scaling analysis we calculate the critical exponents at p c = 1 and below, where a finite density of particles is found in the long-time limit. From dynamic simulations we calculate the dynamical exponents Z, δ, ν , ν ⊥ and γ , /Zν ⊥ , and they are found to dier from the mean-field values, as well as the stationary exponent β. We check the consistence of the results with the hyperscaling relation.

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Section: Summary and Concluding Remarksmentioning

confidence: 97%