论文标题
具有动力蛋白启发的啤酒花的一维排除过程：仿真和平均场分析
One Dimensional Exclusion Process with Dynein Inspired Hops: Simulation and Mean Field Analysis
论文作者
论文摘要
我们引入了一维非平衡晶格气体模型，该模型代表了动力蛋白分子电动机在微管上的过程。我们研究了由插入尺寸变化的晶格上跳上的硬核颗粒组成的模型的动力和固态特性。我们发现，对于开放式和周期性边界条件，固定状态间隙分布在差距大小周围表现出最大步长的倍数。我们使用平均场计算验证了此功能。对于开放的边界条件，我们观察到在晶格上颗粒的引人入胜的振荡器样分布，其周期性等于最大步长。为了表征瞬态动力学，我们测量了均方根位移，该位移显示出$γ\的指数$γ\约1.34 $，用于周期性边界和弹道生长（$γ\ 2 $），以便在早期的开放边界条件下。我们还研究了Langmuir动力学对密度曲线的影响。
We introduce a one-dimensional non-equilibrium lattice gas model representing the processive motion of dynein molecular motors over the microtubule. We study both dynamical and stationary state properties for the model consisting of hardcore particles hopping on the lattice with variable step sizes. We find that the stationary state gap-distribution exhibits striking peaks around gap sizes that are multiples of the maximum step size, for both open and periodic boundary conditions. We verified this feature using a mean-field calculation. For open boundary conditions, we observe intriguing damped oscillator-like distribution of particles over the lattice with a periodicity equal to the maximum step size. To characterize transient dynamics, we measure the mean square displacement that shows weak superdiffusive growth with exponent $γ\approx 1.34$ for periodic boundary and ballistic growth ($γ\approx 2$) for open boundary conditions at early times. We also study the effect of Langmuir dynamics on the density profile.
