Estadística de Múltiple Exclusión de Estados

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

San Luis

Taller; TREFEMAC XVII-TALLER REGIONAL DE FISICA ESTADÍSTICA Y APLICACIONES A LA MATERIA CONDENSADA; 2019

UNIVERSIDAD NACIONAL DE SAN LUIS

2019 - Resumen - TREFEMAC - XVII Taller Regional de Física Estadística y Aplicaciones a la Materia CondensadaA new distribution for systems of particles obeying statistical exclusion of correlated states is presented following the Haldane´s state counting. It relies upon a conjecture to deal with the multiple exclusion that takes place when the states available to single particles are spatially correlated and it can be simultaneously excluded by more than one particle. The Haldane´s statistics and Wu´s distribution are recovered in the limit of non-correlated states (constant statistical exclusion) of the multiple exclusion statistics. In addition, the exclusion spectrum function G(n) is introduced to account for the dependence of the statistical exclusion on the occupation-number n. Results of thermodynamics and state occupation are shown for ideal lattice gases of linear particles of size k (k-mers) where multiple exclusion occurs. Remarkable agreement is found with simulations from k=2 to 10 where multiple exclusion dominates as k increases.[1] F. D. M. Haldane, Phys. Rev. Lett. 67, 937 (1991)[2] Y.-S. Wu, Phys. Rev. Lett. 52, 2103 (1984).