Steady state self-diffusion at low density

DOI10.1007/BF01008247zbMath0511.60098OpenAlexW1993389114MaRDI QIDQ1838782

Joel L. Lebowitz, Herbert Spohn

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01008247

zbMATH Keywords

Boltzmann equationstationary solutionBoltzmann-Grad limitweak convergence of path measures

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (13)

Reaction-diffusion equations for interacting particle systems ⋮ From Newton to Navier–Stokes, or how to connect fluid mechanics equations from microscopic to macroscopic scales ⋮ Derivation of a non-autonomous linear Boltzmann equation from a heterogeneous Rayleigh gas ⋮ The derivation of the linear Boltzmann equation from a Rayleigh gas particle model ⋮ The rigorous derivation of the linear Landau equation from a particle system in a weak-coupling limit ⋮ Linear diffusive limit of deterministic systems of hard spheres ⋮ From Newton's law to the linear Boltzmann equation without cut-off ⋮ Kinetic theory of cluster dynamics ⋮ The propagation of chaos for a rarefied gas of hard spheres in the whole space ⋮ The low density limit for an N-level system interacting with a free Bose or Fermi gas ⋮ Virial estimates for hard spheres ⋮ A gradient flow approach to linear Boltzmann equations ⋮ Microscopic basis for Fick's law for self-diffusion

Cites Work

• Microscopic basis for Fick's law for self-diffusion
• Time evolution of large classical systems

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