MULTIPLE EXCLUSION STATISTICS

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

Temuco

Seminario; XV Seminario Intensivo ?Materia Condensada y Física Estadística?, SIMAFE-2020; 2020

UNIVERSIDAD DE LA FRONTERA/DEPARTAMENTO DE CIENCIAS FÍSICAS

2020 - Resumen - SIMAFE - XV Seminario Intensivo de Materia Condensada y Física Estadística (SIMAFE)A new statistical distribution of particles and quasi particles in equilibrium observing exclusionof spatially correlated states in a confined region of the space is presented by extending theHaldane’s state counting [2]. The approximation introduces an ansatz in order to account the multiple exclusion arising when the single particle states are constrained by spatial correlations [1].By multiple exclusion we refer to correlated states that can be simultaneously excluded by morethan one particle. The only parameter of new statistics for correlated states , gc, characterizesthe correlations in the state counting and can be fully determined within the statistics framework.Quantum statistics and fractional statistics are obtained as limits of the new distribution por noncorrelated states. An Exclusion Spectrum Function G (n) was introduced, namely the averagenumber of excluded states per particle as a function of occupation number n. Analitical thermodynamic functions, chemical potential (m(n)) and G (n) (see Fig. 1) compared with statisticalsimulations of linear particles (k-mers) on a square lattice show remarkable agreement for such acomplex problem of state correlations. Application is extended to structured particle on lattices.Analytical predictions for thermodynamics of correlated anyons will be put forward as well.[1] J. J. Riccardo, J. L. Riccardo, A. J. Ramirez-Pastor, P. M. Pasinetti, Multiple ExclusionStatistics, Phys. Rev. Lett. 123, (2019), 020602-5[2] F. D. M. Haldane, Phys. Rev. Lett. 67, 937 (1991); Y.-S.Wu, Phys. Rev. Lett. 73, 922 (1994).