An improved calculation of the third virial coefficient of a free anyon gas

Law, J. ; Khare, Avinash ; Bhaduri, R. K. ; Suzuki, Akira (1994) An improved calculation of the third virial coefficient of a free anyon gas Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 49 (2). pp. 1753-1755. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v49/i2/p1753_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.49.1753

Abstract

For three anyons confined in a harmonic oscillator, only the class of states that interpolates nonlinearly with the statistical parameter contributes to the third virial coefficient of a free anyon gas. Rather than evaluating the full three-body partition function as was done in an earlier publication [J. Law, A. Suzuki, and R. Bhaduri, Phys. Rev. A 46, 4693 (1992)], here only the nonlinear contribution is calculated, thus avoiding delicate cancellations between the irrelevant linear part and the two-body partition function. Our numerical results are consistent with the simple analytical form suggested recently by Myrheim and Olaussen [Phys. Lett. B 299, 267 (1993)].

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