论文标题
相互作用在封闭的猝灭系统中的作用
Role of interactions in a closed quenched system
论文作者
论文摘要
我们研究了由相互作用的颗粒组成的封闭系统中的非平衡稳态,这些粒子遵守排除原理和跳跃速率。群集平均场方法用于理论上用相图,密度曲线,电流等方面分析系统动力学。相互作用能量$ e $。事实证明,在将交互能量增加到临界值之外,$ e_c $,冲击区域显示出非单调的行为和合同,直到获得另一个临界值$ e_ {c_1} $。进一步增加导致其扩张。此外,具有特定参数集的相互作用系统的相图与其非相互作用类似物具有很好的一致性。对于低于$ e_c $的相互作用能量,观察到与非相互作用版本不同的新的冲击阶段显示特征,导致两个不同的冲击阶段。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。
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 $E_{c_1}$ 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.