Propagation of correlations in a hard-sphere system

DOI10.1007/s10955-022-02958-8zbMath1495.82019arXiv2111.13940OpenAlexW4286208246WikidataQ114225298 ScholiaQ114225298MaRDI QIDQ2158818

Igor V. Gapyak, Viktor Gerasimenko

Publication date: 26 July 2022

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

Full work available at URL: https://arxiv.org/abs/2111.13940

zbMATH Keywords

BBGKY hierarchykinetic equationcorrelation functioncumulantLiouville hierarchy

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• From Newton to Boltzmann: hard spheres and short-range potentials
• Propagation of chaos and effective equations in kinetic theory: a brief survey
• The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error
• The mathematical theory of dilute gases
• Low-density asymptotic behavior of observables of hard sphere fluids
• Microscopic solutions of the Boltzmann-Enskog equation in the series representation
• Hard sphere dynamics and the Enskog equation
• Fluctuation theory in the Boltzmann-Grad limit
• Evolution of correlation functions in the hard sphere dynamics
• On the size of chaos via Glauber calculus in the classical mean-field dynamics
• Lenard-Balescu correction to mean-field theory
• Dynamics of correlations of Bose and Fermi particles
• Time evolution of large classical systems
• On the structure of expansions for the BBGKY hierarchy solutions
• Mathematical problems of statistical mechanics of a system of elastic balls
• Boltzmann–Grad asymptotic behavior of collisional dynamics
• Evolution of correlations of quantum many-particle systems