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- W2034307895 abstract "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 Isakov's 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. FRENCH: Ce travail s'interesse a la fonction de distribution d'equilibre pour un fluide mutuellement non agissant, compose de particules points dans un espace de dimension trois. La fonction de distribution provient, d'un point de vue de CG, d'un modele probabiliste issu de la mecanique quantique des fermions et des bosons. Le premier avantage de CG est que la derivation ne necessite aucune hypothese sur l'interpolation entre les bosons et les fermions alors que la fonction resultante fournit cette interpolation. Le second est que les composons, les particules decrites par ce procede sont considerablement moins schematiques et plus consistantes, physiquement, que les quons. Les composons correspondent a un cas particulier de la relation generale de q-commutation d'Isakov, pour un nombre infini de q-coefficients. Les resultats anterieurs lies au concept de composon sont signales et quelques directions de recherches futures sont proposees. Les resultats de ce travail peuvent servir pour l'etude de fluides composes, ou la description Maxwell–Boltzmann n'est pas valable, par exemple, pour une dense population de particules, pas trop lourdes et a des temperatures pas trop elevees, et d'une comoposition de nature complexe." @default.
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- W2034307895 date "2003-07-01" @default.
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- W2034307895 title "The generalized-kinetics-based equilibrium distribution function for composite particles" @default.
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- W2034307895 doi "https://doi.org/10.1016/s1631-0721(03)00111-6" @default.
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