Distribution for fermionic discrete lattice gas within the canonical ensemble |
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Authors: | R. Kutner T. Barszczak |
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Affiliation: | (1) Present address: Department of Physics, Warsaw University, PL-00-681 Warsaw, Hoa 69, Poland;(2) Department of Applied Physics, Tokyo Institute of Technology, O-okayama 2-12-1, Meguro-ku, 152 Tokyo, Japan |
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Abstract: | The distinct deviations from the Fermi-Dirac statistics ascertained recently at low temperatures for a one-dimensional, spinless fermionic discrete lattice gas with conserved number of noninteracting particles hopping on the non-degenerated, well-separated single-particle energy levels are studied in numerical and theoretical terms. The generalized distribution is derived in the formn(h)={Yhexp [(h–)]+1{su–1 valid even in the thermodynamic limit, when the discreteness of the energy levels is kept. This distribution demonstrates good agreement with the data obtained numerically both by the canonical partition function technique and by Monte Carlo simulation. |
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Keywords: | Fermionic lattice gas canonical and grand canonical ensembles complete, incomplete and specific canonical partition functions Fermi-Dirac statistics Monte Carlo simulation |
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