论文标题
晶格的扩散：过渡速率，相互作用和记忆效应
Diffusion on a lattice: transition rates, interactions and memory effects
论文作者
论文摘要
我们分析了二维方晶格上颗粒的扩散。每个晶格位点包含任意数量的颗粒。相互作用仅在同一位置影响颗粒，并且在宏观上以多余的化学势表示。在最近的一项工作中，邻近细胞之间的过渡速率的一般表达得出了过多的化学电位的功能。随着过渡速率，立即获得了平均场示踪剂扩散率，$ d^\ text {mf} $。示踪剂扩散性，$ d = d^\ text {mf} f $，包含相关因子$ f $，代表内存效果。当将力施加到标记的粒子上时，对在不同位点给定数量的颗粒的关节概率的分析允许得出$ f $的近似表达式。该表达式应用于软核的相互作用（考虑到位点中最大粒子数的不同值）和扩展的硬核。
We analyze diffusion of particles on a two dimensional square lattice. Each lattice site contains an arbitrary number of particles. Interactions affect particles only in the same site, and are macroscopically represented by the excess chemical potential. In a recent work, a general expression for transition rates between neighboring cells as functions of the excess chemical potential was derived. With transition rates, the mean field tracer diffusivity, $D^\text{MF}$, is immediately obtained. The tracer diffusivity, $D = D^\text{MF} f$, contains the correlation factor $f$, representing memory effects. An analysis of the joint probability of having given numbers of particles at different sites when a force is applied to a tagged particle allows an approximate expression for $f$ to be derived. The expression is applied to soft core interaction (different values for the maximum number of particles in a site are considered) and extended hard core.
