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Role of interactions in a closed quenched driven diffusive system
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-12-22 , DOI: 10.1088/1751-8121/abcf0e
Bipasha Pal , Arvind Kumar Gupta

We study the non-equilibrium steady states in a closed system consisting of interacting particles obeying exclusion principle with quenched hopping rate. Cluster mean field approach is utilized to theoretically analyze the system dynamics in terms of phase diagram, density profiles, current, etc, with respect to interaction energy E. It turns out that on increasing the interaction energy beyond a critical value, E c, shock region shows non-monotonic behavior and contracts until another critical value ${E}_{{\mathrm{c}}_{1}}$ is attained; a further increase leads to its expansion. Moreover, the phase diagram of an interacting system with specific set of parameters has a good agreement with its non-interacting analogue. For interaction energy below E c, a new shock phase displaying features different from non-interacting version is observed leading to two distinct shock phases. We have also performed Monte Carlo simulations extensively to validate our theoretical findings.



中文翻译:

相互作用在封闭淬火驱动扩散系统中的作用

我们研究了一个封闭的系统中的非平衡稳态,该系统由相互作用的粒子组成,它们遵循排斥原理并具有猝灭跳变速率。簇平均场方法被用于从相图,密度分布,电流等方面相对于相互作用能E从理论上分析系统动力学。事实证明,在将相互作用能增加到超过临界值E c时,冲击区域显示出非单调行为并收缩,直到$ {E} _ {{\ mathrm {c}} _ {1}} $达到另一个临界值为止。进一步增加导致其扩展。此外,具有特定参数集的交互系统的相图与其非交互类似物具有很好的一致性。对于低于E c的相互作用能,观察到一个新的震相显示出与非交互形式不同的特征,从而导致两个截然不同的震相。我们还广泛地进行了蒙特卡洛模拟,以验证我们的理论发现。

更新日期:2020-12-22
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