A statistical mechanical approach to generalized statistics of quantum and classical gases

Büyükiliç, Fevzi; Demirhan, D.; Güleç, Atilla

doi:10.1016/0375-9601(94)00941-h

Cited by 149 publications

(149 citation statements)

References 10 publications

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“…Thus, the study of the consequences of nonextensivity has been mainly focused on either assuming a value of q ≈ 1 [3] or by approximating the partition function in Eq. (6) by a factorized partition function [4] …”

Section: Introductionmentioning

confidence: 99%

Correlation functions in the factorization approach of nonextensive quantum statistics

Ubriaco

2000

Phys. Rev. E

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We study the long range behavior of a gas whose partition function depends on a parameter q and it has been claimed to be a good approximation to the partition function proposed in the formulation of nonextensive statistical mechanics. We compare our results, at large temperatures and at the critical point, with the case of Boltzmann-Gibbs thermodynamics for the case of a BoseEinstein gas. In particular, we find that for all temperatures the long range correlations in a Bose gas decrease when the value of q departs from the standard value q = 1. PACS number(s):05.30.-d

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Section: Introductionmentioning

confidence: 99%

Correlation functions in the factorization approach of nonextensive quantum statistics

Ubriaco

2000

Phys. Rev. E

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“…1) The first model that we consider has been proposed by Büyükkiliç et al [3,4]. Relevant applications to the blackbody problem can be found in [5,6].…”

Section: Models For the Generalizationmentioning

confidence: 99%

Generalized kinetic theory of electrons and phonons: models, equilibrium and stability

Rossani

Scarfone

2003

Physica B: Condensed Matter

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In the present paper our aim is to introduce some models for the generalization of the kinetic theory of electrons and phonons (KTEP), as well as to study equilibrium solutions and their stability for the generalized KTEP (GKTEP) equations. We consider a couple of models, relevant to non standard quantum statistics, which give rise to inverse power law decays of the distribution function with respect to energy. In the case of electrons in a phonon background, equilibrium and stability are investigated by means of Lyapounov theory. Connections with thermodynamics are pointed out.

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“…In quantum chemistry, simple harmonic potential is used as a simplified model to describe vibrational motion of two atoms, where, more precise model is the Morse potential. In nonrelativistic quantum mechanics, the Schrödinger equation for this potential has been studied for systems ranging from 1-Dimensional to D-Dimensional Space [1][2][3][4]. Such a system has been widely studied as it can be exactly solved and is a very relevant system [5].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Particle in Confined-Harmonic Potential in External Static Electric Field and Strong Laser Field

Lumb¹,

Prasad²

2013

JMP

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Dynamics of a particle in confined-harmonic potential, subjected to external static electric and time-dependent laser fields is studied. The energy levels and wave functions of unperturbed harmonic oscillator are evaluated using B-polynomial Galerkin method. Matrix formulation is used throughout the procedure. This procedure is very simple and efficient in comparison with other methods. Modifications of wave functions and energy levels due to static electric field are also calculated. Finally, absorption spectra of such a driven oscillator are studied and explained.

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A statistical mechanical approach to generalized statistics of quantum and classical gases

Cited by 149 publications

References 10 publications

Correlation functions in the factorization approach of nonextensive quantum statistics

Correlation functions in the factorization approach of nonextensive quantum statistics

Generalized kinetic theory of electrons and phonons: models, equilibrium and stability

Dynamics of Particle in Confined-Harmonic Potential in External Static Electric Field and Strong Laser Field

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