First-principle proof of the modified collision boundary conditions for the hard-sphere system

DOI10.1016/J.PHYSLETA.2014.04.054zbMath1342.82084OpenAlexW2089383868MaRDI QIDQ531195

Massimo Tessarotto, Claudio Cremaschini

Publication date: 3 August 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2014.04.054

zbMATH Keywords

probability density functionsLiouville equationclassical statistical mechanicshard-sphere systemcollision boundary conditions

Mathematics Subject Classification ID

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (3)

On the Boltzmann-Grad limit for smooth hard-sphere systems ⋮ Hamiltonian structure of the Schrödinger classical dynamical system ⋮ Macroscopic irreversibility and decay to kinetic equilibrium of the 1-body PDF for finite hard-sphere systems

Cites Work

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• The Boltzmann equation and its applications
• Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids
• Kinetic theory of simple granular shear flows of smooth hard spheres
• Dynamical systems with elastic reflections
• A general kinetic theory of liquids I. The molecular distribution functions

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