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- W2960335202 abstract "We show the possibility of describing fractional exclusion statistics (FES) as an occupancy process with global and textit{local} exclusion constraints. More specifically, using combinatorial identities, we show that FES can be viewed as ball-in-box models with appropriate weighting on the set of occupancy configurations (merely represented by a partition of the total number of particles). As a consequence, the following exact statement of the generalized Pauli principle is derived: for an $N$-particles system exhibiting FES of extended parameter mbox{$g=q/r$} ($q$ and $r$ are co-prime integers such that $0 < q leq r$), (1)~the allowed occupation number of a state is less than or equal to $r-q+1$ and emph{not} to $1/g$ whenever $qneq 1$ and (2)~the global occupancy shape is admissible if the number of states occupied by at least two particles is less than or equal to $(N-1)/r$ ($N equiv 1 mod r$). These counting rules allow distinguishing infinitely many families of FES systems depending on the parameter $g$ and the size $N$." @default.
- W2960335202 created "2019-07-23" @default.
- W2960335202 creator A5073537135 @default.
- W2960335202 date "2019-07-30" @default.
- W2960335202 modified "2023-09-23" @default.
- W2960335202 title "Fractional exclusion statistics as an occupancy process" @default.
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- W2960335202 doi "https://doi.org/10.1142/s0217984919502440" @default.
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