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This note deals with the linear Boltzmann equation in the non-compact setting with a confining potential which is close to quadratic.
Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles
M. J. Cáceres, J. A. Carrillo, and T. Goudon · 2003
Earlier work this paper cites.
Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation
F. Hérau · 2006
Earlier work this paper cites.
Slow energy dissipation in anharmonic oscillator chains
M. Hairer and J.C. Mattingly · 2009
Earlier work this paper cites.
Hypocoercivity
C. Villani · 2009
Earlier work this paper cites.
Sharp entropy decay for hypocoercive and non-symmetric fokker-planck equations with linear drift
A. Arnold and Jan Erb · 2014
Earlier work this paper cites.
Analysis and geometry of Markov diffusion operators
D. Bakry, I. Gentil, and M. Ledoux · 2014
Earlier work this paper cites.
Large-time behavior in non-symmetric Fokker-Planck equations
F. Achleitner, A. Arnold, and D. Stürzer · 2015
Earlier work this paper cites.
Hypocoercivity for linear kinetic equations conserving mass
J. Dolbeault, C. Mouhot, and C. Schmeiser · 2015
Cited alongside, same era.
Geometric analysis of the linear Boltzmann equation I. Trend to equilibrium
D. Han-Kwan and M. Léautaud · 2015
Cited alongside, same era.
On linear hypocoercive BGK models
F. Achleitner, A. Arnold, and E. A. Carlen · 2016
Cited alongside, same era.
Long-time behaviour and propagation of chaos for mean field kinetic particles
P. Monmarché · 2016
Cited alongside, same era.
Bakry–Émery meet Villani
F. Baudoin · 2017
Cited alongside, same era.
Randomized Hamiltonian Monte Carlo
N. Bou-Rabee and J.M. Sanz-Serna · 2017
Cited alongside, same era.
Hypocoercivity in Phi-entropy for the Linear Boltzmann Equation on the Torus
J. Evans · 2017
Closest in time.
Nonequilibrium isothermal transformations in a temperature gradient from a microscopic dynamics
V. Letizia and S. Olla · 2017
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Hypercontractivity and applications for stochastic hamiltonian systems
F.-Y. Wang · 2017
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Convergence rates for nonequilibrium Langevin dynamics
A. Iacobucci, S. Olla, and G. Stoltz · 2019
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Generalized Γ \Gamma calculus and application to interacting particles on a graph
P. Monmarché · 2019
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A. Guillin and P. Monmarché · 2020
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