Multiple Exclusion Statistics

Physical Review Letters
Julian J RiccardoPedro M Pasinetti

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.

References

May 1, 2001·Physical Review Letters·K R Paserba, A J Gellman
May 21, 2004·Nature·Belén ParedesImmanuel Bloch
Jul 31, 2004·Science·Toshiya KinoshitaDavid S Weiss
Nov 5, 2004·Physical Review Letters·J L RiccardoF Romá
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joyjit Kundu, R Rajesh

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Citations

Mar 24, 2020·ACS Omega·Naoual El BardijiMohamed Saidi

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