Fluctuation theory in the Boltzmann-Grad limit
DOI10.1007/s10955-020-02549-5zbMath1446.35089arXiv2004.00311OpenAlexW3104406952MaRDI QIDQ2194190
Sergio Simonella, Laure Saint-Raymond, Isabelle Gallagher, Thierry Bodineau
Publication date: 25 August 2020
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.00311
cumulantsfluctuationsBoltzmann equationlarge deviationskinetic theorylow density limithard sphere dynamics
Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Large deviations (60F10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hamilton-Jacobi equations (35F21) Integro-partial differential equations (35R09) Boltzmann equations (35Q20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- From Newton to Boltzmann: hard spheres and short-range potentials
- The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error
- Large deviations techniques and applications.
- Large deviations from a kinetic limit
- The mathematical theory of dilute gases
- On large deviations for particle systems associated with spatially homogeneous Boltzmann type equations
- From hard sphere dynamics to the Stokes-Fourier equations: an \(L^2\) analysis of the Boltzmann-Grad limit
- Equilibrium time correlation functions in the low-density limit
- Equilibrium fluctuations for the discrete Boltzmann equation
- Microscopic versus macroscopic approaches to non-equilibrium systems
- Abstract cluster expansion with applications to statistical mechanical systems
- On the Boltzmann equation for rigid spheres
- Convergence of the fluctuations for interacting diffusions with jumps associated with boltzmann equations
- Cluster expansions and the hierarchy
- On the validity of the Boltzmann equation for short range potentials
- One-sided convergence in the Boltzmann–Grad limit
- On the kinetic theory of rarefied gases