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- W2900731330 abstract "Abstract We investigate the critical behavior of a stochastic lattice model describing the hopping of two species that undergo reactions B → A and A + B → 2 B . We simulate the model defined on a 3 D lattice and determine the threshold of the absorbing phase transition to the state at which species B is extinct. Using steady state and short-time dynamics simulations, we calculate the order parameter, order parameter fluctuations, correlation length and their critical exponents. We focus in the case of species A diffusing much faster than species B . We did not find signatures of a first-order transition that has been conjectured in the literature. We report a continuous transition with the perpendicular correlation exponent ν ⊥ ≈ 0 . 61 ( 6 ) , in agreement with ν ⊥ = 2 ∕ D . Also, for this diffusion regime, we estimate β ∕ ν ⊥ = 1 . 48 , very close to the ϵ expansion prediction β ∕ ν ⊥ = D − e ∕ 8 2 ( e = 4 − D ) for the regime of equally diffusing particles." @default.
- W2900731330 created "2018-11-29" @default.
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- W2900731330 date "2019-03-01" @default.
- W2900731330 modified "2023-09-29" @default.
- W2900731330 title "Stationary and dynamical critical behavior of the three-dimensional Diffusive Epidemic Process" @default.
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- W2900731330 doi "https://doi.org/10.1016/j.physa.2018.11.032" @default.
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