Boson-fermion transmutation and the statistics of anyons

Huang, Wung-Hong

doi:10.1103/physreve.51.3729

Cited by 17 publications

(21 citation statements)

References 16 publications

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“…Therefore, such particles and their thermodynamic properties have been the subject of research by a number of authors [21,22,23,24,25]. The statistical weight of N identical particles occupying a group of G states for bosons or fermions is, respectively, given by…”

Section: Thermodynamic Properties Of Ideal Gas Of Fractional Statistimentioning

confidence: 99%

Ruppeiner geometry of anyon gas

Mirza

Mohammadzadeh

2008

Phys. Rev. E

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We derive the thermodynamic curvature of a two dimensional ideal anyon gas of particles obeying fractional statistics. The statistical interactions of anyon gas can be attractive or repulsive. For attractive statistical interactions, thermodynamic curvature is positive and for repulsive statistical interactions, it is negative, which indicates a more stable anyon gas. There is a special case between the two where the thermodynamic curvature is zero. Small deviations from the classical limit will also be explored. PACS number(s): 05.20.-y, 67.10.Fj

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Section: Thermodynamic Properties Of Ideal Gas Of Fractional Statistimentioning

confidence: 99%

Ruppeiner geometry of anyon gas

Mirza

Mohammadzadeh

2008

Phys. Rev. E

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“…Particles with the new statistics were named "anyons" by Wilczek [15]. The thermodynamic properties of systems with fractional statistical particles or anyons have been considered and some factorizable properties of these systems were introduced by Huang [16]. It has been shown that the thermodynamic quantities of a free anyon gas may be factorized to ideal Bose and Fermi gases [17,18].…”

Section: Introductionmentioning

confidence: 99%

“…It is obvious that this procedure does not yield a nonperturbative information. We will review a nonperturbative approach based on the factorizable properties of thermodynamic quantities of the anyon gas in the next section [16,17,18].…”

Section: Introductionmentioning

confidence: 99%

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Nonperturbative thermodynamic geometry of anyon gas

Mirza

Mohammadzadeh

2009

Phys. Rev. E

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Following our earlier work on the Ruppeiner geometry of an anyon gas [B. Mirza and H. Mohammadzadeh, Phys. Rev. E 78, 021127 (2008)], we will derive nonperturbative thermodynamic curvature of a two-dimensional ideal anyon gas. At different values of the thermodynamic parameter space, some unique and interesting behaviors of the anyon gas are explored. A complete picture of attractive and repulsive phases of the anyon gas is given.

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“…Most studies have been done in the context of many-body quantum mechanics. In recent papers [13,14], Wu and others had derived the occupation-number distribution function of the anyon gas to formulate the theory of quantum statistical mechanics, with the help of the idea of fractional exclusion statistics [15]. In that paper [13], Wu also obtained the second viral coefficient and found that the "statistical interaction" may be attractive or repulsive, depending on the statistical parameter.…”

Section: Introductionmentioning

confidence: 99%

Statistics of anyon gas and the factorizable property of thermodynamic quantities

Huang

1996

Phys. Rev. B

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The statistical distribution function of anyon is used to find the eighth viral coefficient in the high-temperature limit and the equation of state in the low-temperature limit. The perturbative results indicate that the thermodynamic quantities, Q(α), of the free anyon gas may be factorized in the terms characteristic of the ideal Bose (α = 0) and fermion (α = 1) gases, i.e., Q(α) = αQ(1) + (1 − α)Q(0). It is shown that the factorizable property of the thermodynamic quantities, to all orders, can be established from the property of the equivalence between the anyon statistics and statistics in a system with boson-fermion transmutation, which was found by us in a recent paper (hep-th/0308095; Phys. Rev. E 51 (1995) 3729) Phys. Rev B53 (1996) 15842

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Boson-fermion transmutation and the statistics of anyons

Abstract: It is shown that, by allowing a transmutation between a boson and a fermion, the system with both bosons and fermions will have the statistical distribution function of an anyon. *

Cited by 17 publications

References 16 publications

Ruppeiner geometry of anyon gas

Ruppeiner geometry of anyon gas

Nonperturbative thermodynamic geometry of anyon gas

Statistics of anyon gas and the factorizable property of thermodynamic quantities

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