MULTIPLE EXCLUSION STATISTICS

RICCARDO, J.J.; RICCARDO J. L.; RAMIREZ PASTOR A.J.; PASINETTI P. M.

Buenos Aires

Conferencia; The XXIV International Conference on Statistical Physics of the International Union for Pure and Applied Physics (IUPAP).; 2019

International Union for Pure and Applied Physics (IUPAP)

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 andWu’s distribution are recovered in the limit of noncorrelated states of the multiple exclusion statistics. In addition, an exclusion spectrum function G is introduced to account for the dependence of the state exclusion on the occupation numbern. The results of thermodynamics and state occupation are shown for ideal lattice gases of linear particles ofsize k (k-mers) where the multiple exclusion occurs. Remarkable agreement is found with grand-canonical Monte Carlo simulations from k ¼ 2 to 10 where the multiple exclusion dominates as k increases.