On the accuracy of macroscopic equations for linearized rarefied gas flows
Advances in Aerodynamics, 2020 Many macroscopic equations are proposed to describe the rarefied gas dynamics beyond the Navier-Stokes level, either from the mesoscopic Boltzmann equation or some physical arguments, including (i) Burnett, Woods, super-Burnett, augmented Burnett ...
Lei Wu, Xiao-Jun Gu
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On the full Boltzmann equations for leptogenesis [PDF]
, 2009 We consider the full Boltzmann equations for standard and soft leptogenesis, instead of the usual integrated Boltzmann equations which assume kinetic equilibrium for all species.
J. Garayoa +4 more
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Basis of Local Approach in Classical Statistical Mechanics
Entropy, 2005 : An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time.
Sergey R. Sharov
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Mesoscale numerical approach to predict macroscale fluid flow problems [PDF]
, 2010 We present a detailed analysis of the lattice Boltzmann method to simulate an incompressible fluid flow problem. Thorough derivation of macroscopic hydrodynamics equations from the continuous Boltzmann equation is performed.
Che Sidek, Nor Azwadi, Idris, M. S.
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An Explicit Formulation of Singularity-Free Dynamic Equations of Mechanical Systems in Lagrangian Form---Part one: Single Rigid Bodies [PDF]
Modeling, Identification and Control, 2012 This paper presents the explicit dynamic equations of a mechanical system. The equations are presented so that they can easily be implemented in a simulation software or controller environment and are also well suited for system and controller analysis ...
Pål Johan From
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Chapman-Enskog expansion of the Boltzmann equation and its diagrammatic interpretation [PDF]
, 2001 We perform a Chapman-Enskog expansion of the Boltzmann equation keeping up to quadratic contributions. We obtain a generalized nonlinear Kubo formula, and a set of integral equations which resum ladder and extended ladder diagrams. We show that these two
Carrington, M. E., Defu, Hou, Kobes, R.
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Why are hydrodynamic theories applicable beyond the hydrodynamic regime? [PDF]
EPJ Web of ConferencesWe present an alternative approach to deriving second-order nonconformal hydrodynamics from the relativistic Boltzmann equation. We demonstrate how constitutive relations for shear and bulk stresses can be transformed into dynamical evolution equations ...
Jaiswal Sunil +5 more
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Two-dimensional turbulence in a massless fluid with a relativistic lattice Boltzmann model
AIP Advances, 2021 We investigate a relativistic adaptation of the lattice Boltzmann method that reproduces the equations of motion for a turbulent, two-dimensional, massless hydrodynamic system.
Mark Watson
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, 2007 Boltzmann equations are often used to describe the non-equilibrium time-evolution of many-body systems in particle physics. Prominent examples are the computation of the baryon asymmetry of the universe and the evolution of the quark-gluon plasma after a
A. D. Sakharov +12 more
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CP violation in scatterings, three body processes and the Boltzmann equations for leptogenesis [PDF]
, 2007 We obtain the Boltzmann equations for leptogenesis including decay and scattering processes with two and three body initial or final states. We present an explicit computation of the CP violating scattering asymmetries.
E. Nardi, J. Racker, E. Roulet
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