论文标题
硬核运行和在一维晶格上滚动颗粒
Hard core run and tumble particles on a one dimensional lattice
论文作者
论文摘要
我们研究了具有周期性边界条件的一维晶格上的硬核运行和翻转颗粒的大规模行为。每个粒子在一个方向上持续运动，由相关的自旋变量决定，直到旋转方向逆转。我们将运行模型映射到具有波动的定向键的传质模型。我们计算出较大的自旋叉率的平均场近似值内质量模型中的稳态单位位点质量分布，并通过分析适当的合并碎片片段化模型的小自旋flip速率。我们还计算了大小自旋flip速率的扩散率和电导率的流体动力系数，并表明在这两个方案中都违反了爱因斯坦的关系。我们还展示了如何以系统的方式考虑该过程的非梯度性质，以计算流体动力系数。
We study the large scale behavior of a collection of hard core run and tumble particles on a one dimensional lattice with periodic boundary conditions. Each particle has persistent motion in one direction decided by an associated spin variable until the direction of spin is reversed. We map the run and tumble model to a mass transfer model with fluctuating directed bonds. We calculate the steady state single site mass distribution in the mass model within a mean field approximation for larger spin-flip rates and by analyzing an appropriate coalescence fragmentation model for small spin-flip rates. We also calculate the hydrodynamic coefficients of diffusivity and conductivity for both large and small spin-flip rates and show that the Einstein relation is violated in both regimes. We also show how the non-gradient nature of the process can be taken into account in a systematic manner to calculate the hydrodynamic coefficients.
