Riccardo Julian J, Riccardo Jose L, Ramirez-Pastor Antonio J, Pasinetti Pedro M
Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700BWS, San Luis, Argentina.
Phys Rev Lett. 2019 Jul 12;123(2):020602. doi: 10.1103/PhysRevLett.123.020602.
A new distribution for systems of particles in equilibrium obeying the exclusion of correlated states is presented following Haldane's state counting. It relies upon an ansatz to deal with the multiple exclusion that takes place when the states accessible to single particles are spatially correlated and it can be simultaneously excluded by more than one particle. Haldane's statistics and Wu's distribution are recovered in the limit of noncorrelated states of the multiple exclusion statistics. In addition, an exclusion spectrum function G(n) is introduced to account for the dependence of the state exclusion on the occupation number n. The results of thermodynamics and state occupation are shown for ideal lattice gases of linear particles of size k (k-mers) where the multiple exclusion occurs. Remarkable agreement is found with grand-canonical Monte Carlo simulations from k=2 to 10 where the multiple exclusion dominates as k increases.
在遵循霍尔丹态计数法的基础上，提出了一种适用于处于平衡态且遵循相关态排斥的粒子系统的新分布。它依赖于一个假设来处理单粒子可及态在空间上相关且能被多个粒子同时排斥时发生的多重排斥情况。在多重排斥统计的非相关态极限下可恢复霍尔丹统计和吴分布。此外，引入了一个排斥谱函数G(n)来解释态排斥对占据数n的依赖性。展示了尺寸为k（k聚体）的线性粒子理想晶格气体的热力学和态占据结果，其中会发生多重排斥。在k = 2至10的情况下，发现与巨正则蒙特卡罗模拟结果有显著一致性，随着k增大，多重排斥起主导作用。
