MULTIPLE EXCLUSION STATISTICS

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

Santa Fe

Congreso; 104 Reunión Nacional de la Asociación Física Argentina; 2019

ASOCIACIÓN FÍSICA ARGENTINA, UNIVERSIDAD NACIONAL DEL LITORAL

2019 - Resumen - RAFA - 104a Reunión de la Asociación Física ArgentinaA 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.