Multiple Exclusion Statistics

Julian J. Riccardo, Jose L. Riccardo, Antonio J. Ramirez-Pastor, and Pedro M. Pasinetti
Phys. Rev. Lett. 123, 020602 – Published 10 July 2019

Abstract

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.

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  • Received 21 November 2018

DOI:https://doi.org/10.1103/PhysRevLett.123.020602

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Julian J. Riccardo*, Jose L. Riccardo, Antonio J. Ramirez-Pastor, and Pedro M. Pasinetti

  • Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700BWS, San Luis, Argentina

  • *jjriccardo@unsl.edu.ar

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Issue

Vol. 123, Iss. 2 — 12 July 2019

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