当前位置: X-MOL 学术Chaos Solitons Fractals › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Effect of local dissociation on symmetry breaking in exclusion model constituted by bridge lane and input-output TASEPs
Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2021-09-03 , DOI: 10.1016/j.chaos.2021.111354
Akriti Jindal 1 , Arvind Kumar Gupta 1
Affiliation  

Motivated by the dynamics of processive molecular motors in biological transport processes, we study the effect of local irreversible dissociation of two distinct species of particles moving along a bridge lane coupled to the input and output lanes governed by exclusion process. The boundary controlling rates of the particle in the bridge lane are determined self-consistently by the dynamics of the bridge and its feeding segments. A particle leaving the input lane is allowed to occasionally dissociate irreversibly from the exit site. The theoretical framework based on mean-field approximation is presented to understand how the local particle dissociations affect the bidirectional dynamics and spontaneous symmetry-breaking phenomena. Explicit phase boundaries and density profiles are obtained to analyse the steady-state behavior of the overall system. It has been observed that change in amplitude of dissociation rates leads to non-monotonic behavior of stationary phase diagrams and significant modifications in the dynamic properties. The emergence of new symmetric and asymmetric phases is reported under the symmetry of boundary controlling parameters and dissociation rates. Simple physical arguments are presented to explain the stationary properties of the system. Extensive Monte Carlo simulations are performed to test the validity of theoretical outcomes.



中文翻译:

桥车道和输入输出TASEP构成的排除模型中局部解离对对称破坏的影响

受生物运输过程中进行性分子马达动力学的启发,我们研究了两种不同种类的粒子沿桥车道移动的局部不可逆解离的影响,该桥车道与由排除过程控制的输入和输出车道耦合。桥梁车道中粒子的边界控制率由桥梁及其进料段的动力学自洽地确定。离开输入通道的粒子偶尔会不可逆地从出口位置分离。提出了基于平均场近似的理论框架,以了解局部粒子解离如何影响双向动力学和自发对称破坏现象。获得明确的相边界和密度分布图来分析整个系统的稳态行为。已经观察到解离速率幅度的变化导致固定相图的非单调行为和动态特性的显着改变。在边界控制参数和解离速率的对称性下报告了新的对称和不对称相的出现。提出了简单的物理参数来解释系统的平稳特性。执行广泛的蒙特卡罗模拟以测试理论结果的有效性。在边界控制参数和解离速率的对称性下报告了新的对称和不对称相的出现。提出了简单的物理参数来解释系统的平稳特性。执行广泛的蒙特卡罗模拟以测试理论结果的有效性。在边界控制参数和解离速率的对称性下报告了新的对称和不对称相的出现。提出了简单的物理参数来解释系统的平稳特性。执行广泛的蒙特卡罗模拟以测试理论结果的有效性。

更新日期:2021-09-03
down
wechat
bug