On the thermodynamics of multispecies anyons

Isakov, Serguei B.; Mashkevich, Stefan; Ouvry, Stéphane

doi:10.1016/0550-3213(95)00321-i

Cited by 20 publications

(55 citation statements)

References 22 publications

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“…We would like to note the following: The above result of M ϭ1 is exactly equivalent to the result first obtained by Sutherland 8,19 a long time ago. The results for the cases of M ϭ2 and 3 are exactly equivalent to the results recently obtained by Isakov, Mashkevich, and Ouvry, 20 Mashkevich, 21 and Isakov and Mashkevich. 22 However, our results with the present method, represented in terms of the language of determinants, are all new and exact without any approximation up to an arbitrary M .…”

Section: ͑104͒supporting

confidence: 88%

“…This corresponds to the results of Mashkevich 20 and of Isakov and Mashkevich 21 as a generalization to those for arbitrary dimensional systems with MFES. It is also regarded as a generalized many-variable polylogarithm 27 and a generalized many-variable zeta function when z 1 ϭ•••ϭz M ϭ1.…”

Section: ͑104͒supporting

confidence: 87%

“…Thus, the explicit evaluation of the cluster coefficients is very important for the theory of phase transitions. However, since usually it is extremely difficult to analytically obtain the exact cluster coefficients for the multispecies cases, [20][21][22] much knowledge is still absent. The present paper will show that one can obtain the exact cluster coefficients for the system of a multispecies quasiparticle gas with MFES.…”

Section: Quantum Statistical Mechanicsmentioning

confidence: 99%

“…͑10͒ represents a set of very complicated functional equations for MFES. Therefore, when MFES is taken into account, there has been no good method to explicitly obtain the cluster coefficients in the cluster expansion from Wu's distribution functions w i a , although several authors [20][21][22] have attempted to obtain them by considering the special cases of multispecies systems with MFES, explicitly expanding Wu's functional relations. We now present a method to resolve this problem.…”

Section: Sutherland Transformations and Cluster Expansionsmentioning

confidence: 99%

“…12 Recently, some efforts have been made in this direction. [20][21][22] Isakov, Mashkevich, and Ouvry, 20 Mashkevich, 21 and Isakov and Mashkevich 22 have presented the analytic expressions of the cluster coefficients of cluster expansions for the systems with MFES. In order to obtain the expressions of cluster coefficients in the cluster expansion, they explicitly expanded Wu's functional relations up to several order terms of the expansion by using computer algebra, and for all the higher order coefficients the analytic expressions were conjectured.…”

Section: Introductionmentioning

confidence: 99%

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Generalized Lagrange theorem and thermodynamics of a multispecies quasiparticle gas with mutual fractional exclusion statistics

Iguchi¹

1998

Phys. Rev. B

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We discuss the relationship between the classical Lagrange theorem in mathematics and the quantum statistical mechanics and thermodynamics of an ideal gas of multispecies quasiparticles with mutual fractional exclusion statistics. First, we show that the thermodynamic potential and the density of the system are analytically expressed in terms of the language of generalized cluster expansions, where the cluster coefficients are determined from Wu's functional relations for describing the distribution functions of mutual fractional exclusion statistics. Second, we generalize the classical Lagrange theorem for inverting the one complex variable functions to that for the multicomplex variable functions. Third, we explicitly obtain all the exact cluster coefficients by applying the generalized Lagrange theorem. ͓S0163-1829͑98͒03335-9͔ PHYSICAL REVIEW B 15 SEPTEMBER 1998-I VOLUME 58, NUMBER 11 PRB 58 0163-1829/98/58͑11͒/6892͑20͒/$15.00 6892

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Section: ͑104͒supporting

confidence: 88%

Section: ͑104͒supporting

confidence: 87%

Section: Quantum Statistical Mechanicsmentioning

confidence: 99%

Section: Sutherland Transformations and Cluster Expansionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generalized Lagrange theorem and thermodynamics of a multispecies quasiparticle gas with mutual fractional exclusion statistics

Iguchi¹

1998

Phys. Rev. B

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TAO2000 V2 computer‐assisted force feedback telemanipulators used as maintenance and production tools at the AREVA NC–La Hague fuel recycling plant

Geffard

Garrec

Piolain

et al. 2011

Journal of Field Robotics

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International audienceDuring a 15-year joint research program, French Atomic Energy Agency Interactive Robotics Laboratory (CEA LIST) and AREVA have developed several remote operation devices, also called telerobots. Some of them are now commonly used for maintenance operations at the AREVA NC (Nuclear Cycle)–La Hague reprocessing plant. Since the first maintenance operation in 2005, several other successful interventions have been realized using the industrial MA23/RX170 telemanipulation system. Moreover, since 2010, the through-the-wall tele-robot named MT200 TAO based on the slave arm of the MSM MT200 (La Calhène TM), has been evaluated in an active production cell at the AREVA NC–La Hague fuel recycling plant. Although these evaluations are ongoing , the positive results obtained have led to an update and industrialization program. All these developments are based on the same generic control platform, called TAO2000 V2. TAO2000 V2 is the second release of the CEA LIST core software platform dedicated to computer aided force-feedback teleoperation (TAO is the French acronym for computer aided teleoperation). This paper presents all these developments resulting from the joint research program CEA LIST/AREVA. The TAO2000 V2 controller is first detailed, and then two maintenance operations using the industrial robot RX170 are presented: the removal of the nuclear fuel dissolver wheel rollers and the cleanup of the dissolver wheel interbucket spaces. Finally, the new MT200 TAO system and its evaluations at the AREVA NC–La Hague facilities are discussed. C 2011 Wiley Periodicals, Inc

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On the determination of the mutual exclusion statistics parameter

Mandal

2013

Pramana - J Phys

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On the thermodynamics of multispecies anyons

Cited by 20 publications

References 22 publications

Generalized Lagrange theorem and thermodynamics of a multispecies quasiparticle gas with mutual fractional exclusion statistics

Generalized Lagrange theorem and thermodynamics of a multispecies quasiparticle gas with mutual fractional exclusion statistics

TAO2000 V2 computer‐assisted force feedback telemanipulators used as maintenance and production tools at the AREVA NC–La Hague fuel recycling plant

On the determination of the mutual exclusion statistics parameter

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