Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas

Qin, Fang; Chen, Jisheng

doi:10.1016/j.physleta.2012.02.034

Cited by 6 publications

(3 citation statements)

References 36 publications

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“…[1] and the statistical mechanics of FES systems was formulated by several authors, employing different methods [2][3][4][5][6][7][8]. The FES have been applied to the description of several types of interacting particle systems [1][2][3][4][5][6][7][9][10][11][12] and the properties of FES systems in different numbers of dimensions and trapping potentials have been studied [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. A general method for the description of Fermi liquid type of systems as ideal FES gases have been proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

From fractional exclusion statistics back to Bose and Fermi distributions

Anghel¹

2013

Physics Letters A

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Fractional exclusion statistics (FES) is a generalization of the Bose and Fermi statistics. Typically, systems of interacting particles are described as ideal FES systems and the properties of the FES systems are calculated from the properties of the interacting systems. In this paper I reverse the process and I show that a FES system may be described in general as a gas of quasiparticles which obey Bose or Fermi distributions; the energies of the newly defined quasiparticles are calculated starting from the FES equations for the equilibrium particle distribution. In the end I use a system in the effective mass approximation as an example to show how the procedure works.

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Section: Introductionmentioning

confidence: 99%

From fractional exclusion statistics back to Bose and Fermi distributions

Anghel¹

2013

Physics Letters A

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“…Generic FES systems in different numbers of dimensions or interacting with external fields have also been studied for example in Refs. [32][33][34][35][36][37][38][39][40]. Correlations in FES systems have been calculated in [41].…”

Section: Introductionmentioning

confidence: 99%

Fractional exclusion statistics in disordered interacting particle systems

Nemnes,

Anghel

2012

Preprint

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We develop a model based on the fractional exclusion statistics (FES) applicable to non-homogeneous interacting particle systems. Here the species represent elementary volumes in an (s + 1)-dimensional space, formed by the direct product between the s-dimensional space of positions and the quasiparticle energy axis. The model is particularly suitable for systems with localized states. We prove the feasibility of our method by applying it to systems of different degrees of complexities. We first apply the formalism on simpler systems, formed of two sub-systems, and present numerical and analytical thermodynamic calculations, pointing out the quasiparticle population inversion and maxima in the heat capacity, in contrast to systems with only diagonal (direct) FES parameters. Further we investigate larger, non-homogeneous systems with repulsive screened Coulomb interactions, indicating accumulation and depletion effects at the interfaces. Finally, we consider systems with several degrees of disorder, which are prototypical for models with glassy behavior. We find that the disorder produces a spatial segregation of quasiparticles at low energies which significantly affects the heat capacity and the entropy of the system.

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“…[18−24] Furthermore, the thermodynamics of the any-dimensional ideal anyons has been extended by Refs. [25][26][27][28]. In particular, statistical correlations of an ideal gas obeying fractional exclusion statistics in arbitrary dimensions have also been investigated.…”

Section: Introductionmentioning

confidence: 99%

Pauli Paramagnetic Susceptibility of an Ideal Anyon Gas within Haldane Fractional Exclusion Statistics

Qin¹,

Chen²

2012

Commun. Theor. Phys.

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The finite-temperature Pauli paramagnetic susceptibility of a three-dimensional ideal anyon gas obeying Haldane fractional exclusion statistics is studied analytically. Different from the result of an ideal Fermi gas, the susceptibility of an ideal anyon gas depends on a statistical factor g in Haldane statistics model. The low-temperature and high-temperature behaviors of the susceptibility are investigated in detail. The Pauli paramagnetic susceptibility of the two-dimensional ideal anyons is also derived. It is found that the reciprocal of the susceptibility has the similar factorizable property which is exhibited in some thermodynamic quantities in two dimensions.

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Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas

Cited by 6 publications

References 36 publications

From fractional exclusion statistics back to Bose and Fermi distributions

From fractional exclusion statistics back to Bose and Fermi distributions

Fractional exclusion statistics in disordered interacting particle systems

Pauli Paramagnetic Susceptibility of an Ideal Anyon Gas within Haldane Fractional Exclusion Statistics

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