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Partitions and the FermiDirac Distribution
, 1999
"... The exact electron distribution in certain small isolated systems is derived from the enumeration of the partitions of integers. The corresponding generating series are ascribed a physical interpretation. The wellknown FermiDirac statistics is recovered by averaging. Correspondence should be sent ..."
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The exact electron distribution in certain small isolated systems is derived from the enumeration of the partitions of integers. The corresponding generating series are ascribed a physical interpretation. The wellknown FermiDirac statistics is recovered by averaging. Correspondence should be sent to
Excluded Volume and FermiDirac Statistics In Classical Systems
"... We examine the effect of the excluded volume interactions on the density profile and other related physical quantities as a classical version of the Pauli exclusion principle. We first introduce a lattice model of random walk of classical particles where the Pauli's exclusion principle operates ..."
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operates in real space and show that it reproduces exactly the FermiDirac distribution and satisfies the relation between the specific heat and the energy fluctuations. We also show a counter example where the excluded volume interaction does not lead to the FermiDirac statistics in the context
1 Generalized BoseEinstein and FermiDirac distributions: The interpolation approximation
, 906
"... Generalized BoseEinstein and FemiDirac distributions in the interpolation approximation (IA) has been shown to yield results in agreement with the exact ones within the O(q − 1) and in high and lowtemperature limits [H. Hasegawa, arXiv:0904.2399], where q stands for the entropic index. We have a ..."
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in the factorization approximation (FA). It has been pointed out that the FA generally overestimates the effect of the nonextensivity of q − 1  and that its FermiDirac distribution yields qualitatively inappropriate results for q < 1.0. PACS No.: 05.30.d, 71.28.+d, 75.10.Lp, 75.40.Cx Keywords: nonextensive
Europhysics Letters PREPRINT FermiDirac statistics and the number theory
, 2005
"... PACS. 03.75.Ss – Degenerate Fermi gases. PACS. 05.30.Fk – Fermion systems and electron gas. PACS. 02.30.Mv – Approximations and expansions. Abstract. – We relate the FermiDirac statistics of an ideal Fermi gas in a harmonic trap to partitions of given integers into distinct parts, studied in number ..."
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PACS. 03.75.Ss – Degenerate Fermi gases. PACS. 05.30.Fk – Fermion systems and electron gas. PACS. 02.30.Mv – Approximations and expansions. Abstract. – We relate the FermiDirac statistics of an ideal Fermi gas in a harmonic trap to partitions of given integers into distinct parts, studied
Low Temperature Properties of the FermiDirac, Boltzman and BoseEinstein Equations
"... We investigate low temperature (T) properties of three classical quantum statistics models: (I) the FermiDirac equation, (II) the Boltzman equation, and (III) the BoseEinstein equation. It is widely assumed that each of these equations is valid for all T> 0. For each equation we prove that th ..."
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We investigate low temperature (T) properties of three classical quantum statistics models: (I) the FermiDirac equation, (II) the Boltzman equation, and (III) the BoseEinstein equation. It is widely assumed that each of these equations is valid for all T> 0. For each equation we prove
1 BoseEinstein and FermiDirac distributions in nonextensive quantum statistics: Exact and interpolation approaches
, 904
"... ..."
A Note on Unified Statistics Including FermiDirac, BoseEinstein, and Tsallis Statistics, and Plausible Extension to Anisotropic Effect
"... In the light of some recent hypotheses suggesting plausible unification of thermostatistics where FermiDirac, BoseEinstein and Tsallis statistics become its special subsets, we consider further plausible extension to include noninteger Hausdorff dimension, which becomes realization of fractal ent ..."
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In the light of some recent hypotheses suggesting plausible unification of thermostatistics where FermiDirac, BoseEinstein and Tsallis statistics become its special subsets, we consider further plausible extension to include noninteger Hausdorff dimension, which becomes realization of fractal
RIKEN Review No. 29 (June, 2000): Focused on Largescale Calculation of Electronic States Path integral molecular dynamics for BoseEinstein and FermiDirac statistics
"... We propose a promising extension of the path integral molecular dynamics method to BoseEinstein and FermiDirac statistics. The partition function for the quantum statistics was rewritten in a form amenable to the molecular ..."
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We propose a promising extension of the path integral molecular dynamics method to BoseEinstein and FermiDirac statistics. The partition function for the quantum statistics was rewritten in a form amenable to the molecular
DREIZLER, Extension of the ThomasFermiDiracWeizsäcker model: Fourthorder gradient corrections to the kinetic energy
 J. Phys. B
, 1989
"... Abstract. We present an accurate numerical solution of the variational equation resulting from the standard ThomasFermiDiracWeizsacker energy functional plus fourthorder gradient terms of the kinetic energy. We show that the solution of the variational equation leads to kinetic energies that dif ..."
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Abstract. We present an accurate numerical solution of the variational equation resulting from the standard ThomasFermiDiracWeizsacker energy functional plus fourthorder gradient terms of the kinetic energy. We show that the solution of the variational equation leads to kinetic energies
Distribution /
, 1993
"... This work was prepared as an account of work conducted by the Laser Plasma Branch, Plasma ..."
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This work was prepared as an account of work conducted by the Laser Plasma Branch, Plasma
Results 1  10
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3,840