On the Boltzmann-Grad limit for smooth hard-sphere systems

DOI10.1007/s10701-018-0144-5zbMath1393.82020OpenAlexW2788448243MaRDI QIDQ1643526

Michael Mond, Claudio Cremaschini, Alessandro Soranzo, Gino Tironi, Claudio Asci, Massimo Tessarotto

Publication date: 19 June 2018

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-018-0144-5

zbMATH Keywords

Boltzmann equationBoltzmann H-theoremhard-sphere classical dynamical systemmaster kinetic equation

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Many-body theory; quantum Hall effect (81V70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Measures of information, entropy (94A17) Boltzmann equations (35Q20)

Related Items

Macroscopic irreversibility and decay to kinetic equilibrium of the 1-body PDF for finite hard-sphere systems, Phenomenological determinism in Hamiltonian dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theory of nonlocal point transformations in general relativity
• First-principle proof of the modified collision boundary conditions for the hard-sphere system
• Is there a reversibility paradox? Recentering the debate on the thermodynamic time arrow
• Differentiation theory over infinite-dimensional Banach spaces
• Theory of collisional invariants for the Master kinetic equation
• Integration over an infinite-dimensional Banach space and probabilistic applications
• Asymptotic orderings and approximations of the master kinetic equation for large hard spheres systems
• Lanford's theorem and the emergence of irreversibility
• Irreversibility in the derivation of the Boltzmann equation
• Time evolution of large classical systems