Coarsely grained stochastic Boltzmann equation and its moment equations

Ryosuke Yano and Kojiro Suzuki

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 7, 2291-2299

Abstract: The stochastic Boltzmann equation is coarsely grained. The coarsely grained stochastic (CGS) Boltzmann equation has fluctuating terms in its collision term. On the basis of the CGS Boltzmann equation, reduced Grad’s 26 moment equations are derived. Coarsely grained moment equations obtained from the CGS Boltzmann equation show that fluctuating terms remain as nonvanishing terms owing to the nonlinearity in the collision term of the CGS Boltzmann equation. The Navier–Stokes–Fourier law obtained using the CGS Boltzmann equation indicates that the pressure deviator and heat flux include fluctuations of their one-order higher moments.

Keywords: Stochastic Boltzmann equation; Coarsely grained fluctuations; Kinetic theory of gas (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:7:p:2291-2299

DOI: 10.1016/j.physa.2011.11.059

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