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The generalized-kinetics-based equilibrium distribution function for composite particles
Politecnico di Torino.
Gothenburg University and Chalmers University of Technology.
Gothenburg University and Chalmers University of Technology.
Gothenburg University and Chalmers University of Technology.ORCID iD: 0000-0001-6235-7038
2003 (English)In: Comptes rendus. Mecanique, ISSN 1631-0721, Vol. 331, no 7, 461-467 p.Article in journal (Refereed) Published
Abstract [en]

This work is devoted to the equilibrium distribution function for a fluid of mutually non-interacting identical composite point particles in three-dimensional physical space. The distribution function is derived within the generalized-kinetics (GK) vision from the proposed probabilistic model based on quantum-mechanical bosons and fermions. The first GK advantage is that the derivation does not involve any assumption on the interpolation between bosons and fermions whereas the resulting function provides this interpolation. The second GK advantage is that composons, the particles described with the GK-based distribution function, are considerably less schematic and more consistent physically than quons. Composons correspond to a specific case of Isakovs general q-commutation relation involving an infinite number of the q-coefficients. Connection of the composon concept to previous results in the literature is pointed out. A few directions for future research on the topic are formulated. The results of the work can be used in the composite-particle fluid problems where the Maxwell-Boltzmann description is not valid, for instance, in dense populations of not too massive point-like particles of a complex, composite nature at not too high temperatures.

Place, publisher, year, edition, pages
Elsevier Science B.V., Amsterdam. , 2003. Vol. 331, no 7, 461-467 p.
Keyword [en]
fluid mechanics; quantum mechanics; boson; fermion; distribution function; composite particle; generalized kinetics; q-commutation relation; Isakovs coefficient; quon; composon
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-59184DOI: 10.1016/S1631-0721(03)00111-6ISI: 000184640700001OAI: diva2:350149
Available from: 2010-09-10 Created: 2010-09-09 Last updated: 2014-01-15

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Willander, Magnus
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