A General Framework for the Kinetic Modelling of Polyatomic Gases
نویسندگان
چکیده
A general framework for the kinetic modelling of non-relativistic polyatomic gases is proposed, where each particle characterized both by its velocity and internal state, Boltzmann collision operator involves suitably weighted integrals over space states. The description structure a molecule kept highly general, this allows classical semi-classical models, such as monoatomic gas description, continuous energy structure, with discrete levels, to fit our framework. We prove H-Theorem proposed equation type in setting, characterize equilibrium Maxwellian distribution thermodynamic number degrees freedom. Euler equations are derived, zero-order approximation suitable asymptotic expansion. In addition, within it possible build up new desirable physical applications, rotation vibration precisely described. Examples models Hydrogen Fluoride shown. link between state-based energy-based points view presented.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-022-04367-0