Vanishing order-parameter critical fluctuations of an absorbing-state transition driven by long-range interactions

Argolo, C.; Quintino, Yan; Barros, Pedro H.; Lyra, M. L.

doi:10.1103/physreve.87.032141

Cited by 5 publications

(4 citation statements)

References 36 publications

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“…From (RG) result ν ⊥ = 2/D it can be noted that ν ⊥ reaches the mean field value 1/2 at the critical dimension D c as in table 2. we have found δ = β/Zν ⊥ = 0.775 (7). This value is to be compared with δ = 1 of mean field result.…”

Section: Resultssupporting

confidence: 60%

“…For d A = 0.5 and d B = 0.5 (circles) with ρ c = 2.5569(3) we have found δ = β/Zν ⊥ = 0.75(3). For d A = 0.9 and d B = 0.1 (triangles) with ρ c = 3.9266(1) we have found δ = β/Zν ⊥ = 0.775(7). This value is to be compared with δ = 1 of mean field result.…”

mentioning

confidence: 64%

“…Estimates of this critical exponent are reported in table 2. For L = 200 and ρ c = 2.3283(1) we have found ν = 1.13 (7) for the case d A = 0.1 and d B = 0.9. For L = 200 and ρ c = 3.9266(1) we have found ν = 1.22(3) for the case d A = 0.9 and d B = 0.1.…”

Section: Diffusive Regimementioning

confidence: 83%

“…Phase transitions from active state into absorbing state are usually found in statistical physics of non-equilibrium systems [1][2][3]. In past works [4][5][6][7], some of the present authors analyzed the critical behavior of the absorbing phase transition.…”

Section: Introductionmentioning

confidence: 93%

See 3 more Smart Citations

Diffusive epidemic process in 3D: a two-species reaction–diffusion phase transition

Argolo¹,

Tenório²,

Albuquerque³

2021

J. Stat. Mech.

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By the use of Monte Carlo simulation we study the critical behavior of a three-dimensional stochastic lattice model describing a diffusive epidemic propagation process. In this model, healthy (A) and sick (B) individuals diffuse on the lattice with diffusion constants d A and d B , respectively, and undergo reactions B → A and A + B → 2B. We determine the absorbing phase transition between a steady reactive state and a vacuum state. We obtained the order parameter, order parameter fluctuations, correlation length and their critical exponents by the use of steady state and short-time dynamics simulations. We studied three different diffusion regimes: the case of species A diffusing much slower than species B (d A ≪ d B ), the case of species with equal diffusion constants (d A = d B ) and the case of species A diffusing much faster than species B (d A ≫ d B ). We found only second order transition for all three cases. We did not identify any signal of first order transition for the case d A > d B as predicted by field theory in first order approximation.

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Section: Resultssupporting

confidence: 60%

mentioning

confidence: 64%

Section: Diffusive Regimementioning

confidence: 83%