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Mean-Field Cluster Approximation Scheme for the Pair-Creation Model with Absorbing Phase Transition
Brazilian Journal of Physics ( IF 1.5 ) Pub Date : 2020-09-17 , DOI: 10.1007/s13538-020-00798-z
Anderson A. Ferreira

We study the nonequilibrium phase transitions in the one-dimensional duplet creation model using the $n-$site approximation scheme. We find the phase diagram in the space of parameters $(\gamma,D)$, where $\gamma$ is the particle decay probability and $D$ is the diffusion probability. Through data $(1\leq n \leq 18)$ we show that in the limit $n\rightarrow \infty$ the model presents a continuous transition of active state for inactive state (absorbing state) for any value of $0\leq D \leq1$. In general, we obtain the critical value of $\gamma$ and the "gap" density in the transition point for single and pair approximation $\gamma_c(n=1,D)$, $\Delta\rho(n=1,D)$ and $\Delta \rho(n=2,D)$ respectively.

中文翻译:

具有吸收相变的成对模型的平均场簇近似方案

我们使用 $n-$site 近似方案研究一维双联体创建模型中的非平衡相变。我们在参数$(\gamma,D)$ 的空间中找到相图,其中$\gamma$ 是粒子衰变概率,$D$ 是扩散概率。通过数据 $(1\leq n \leq 18)$ 我们表明,在极限 $n\rightarrow \infty$ 中,对于 $0\leq D 的任何值,模型呈现活跃状态到非活跃状态(吸收状态)的连续转换\leq1$。一般情况下,我们获得了 $\gamma$ 的临界值和过渡点的“间隙”密度,用于单和对近似 $\gamma_c(n=1,D)$, $\Delta\rho(n=1, D)$ 和 $\Delta \rho(n=2,D)$ 分别。
更新日期:2020-09-17
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