Multiple Exclusion Statistics

RICCARDO J. L.; RICCARDO, JULIÁN; PASINETTI P. M.; RAMIREZ-PASTOR, ANTONIO JOSE

PHYSICAL REVIEW LETTERS

AMER PHYSICAL SOC

Lugar: New York; Año: 2019 vol. 123 p. 1 - 5

0031-9007

A new distribution for systems of particles in equilibrium obeying the exclusion of correlated states ispresented following Haldane?s state counting. It relies upon an ansatz to deal with the multiple exclusionthat takes place when the states accessible to single particles are spatially correlated and it can besimultaneously excluded by more than one particle. Haldane?s statistics andWu?s distribution are recoveredin the limit of noncorrelated states of the multiple exclusion statistics. In addition, an exclusion spectrumfunction GðnÞ is introduced to account for the dependence of the state exclusion on the occupation numbern. The results of thermodynamics and state occupation are shown for ideal lattice gases of linear particles ofsize k (k-mers) where the multiple exclusion occurs. Remarkable agreement is found with grand-canonicalMonte Carlo simulations from k ¼ 2 to 10 where the multiple exclusion dominates as k increases.