发表机构
Oakland University; University of Michigan; Wayne State University（奥克兰大学; 密歇根大学; 韦恩州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究二维晶格上具有偏置跳跃和Ising相互作用的活性粒子系统，通过速率方程理论计算电流分布并用模拟验证，发现左手与右手三聚体浓度不等。
AI 中文摘要
我们考虑一个在二维晶格上进行偏置随机游走的粒子系综。由于粒子间的粘附（最近邻Ising相互作用），跳跃概率取决于邻居数量和粘附相互作用的强度。跳跃方向的不对称性导致粒子通过系统的宏观电流。我们从理论上计算了电流的分布，并在随机粒子模拟中验证了结果。为了取得理论进展，必须确定各种粒子构型（如单粒子、双粒子以及三粒子团簇的不同构型）的概率。这些概率通过制定类似于Becker-Döring团簇方程的各种结构浓度速率方程来理论推导。一个有趣的发现是，在跳跃不对称性和粒子间相互作用非零的情况下，左手三聚体的浓度不等于右手三聚体的浓度。
英文摘要
We consider an ensemble of particles performing a biased random walk on a two-dimensional lattice. Due to the adhesion between particles (nearest-neighbor Ising interactions), the probability of hopping depends on the number of neighbors and the strength of adhesive interaction. The asymmetry in the hopping directions leads to a macroscopic current of particles through the system. We theoretically compute the distribution of currents and verify the results in stochastic particle simulations. To make theoretical progress, one has to determine the probabilities of various particle configurations such as single particles, pairs, and different configurations of three-particle clusters. These probabilities are theoretically derived by formulating rate equations for the concentrations of various structures resembling Becker-Döring cluster equations. One intriguing finding is that the concentration of left-handed triplets is not equal to the concentration of right-handed triplets for non-zero asymmetry of hops and non-zero interaction between particles.
Comments6 pages, 4 figures
