Trends to equilibrium for a class of relativistic diffusions
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Publication:2851788
DOI10.1063/1.3659685zbMath1272.82033arXiv1106.5867OpenAlexW2037139396MaRDI QIDQ2851788
Publication date: 2 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.5867
Diffusion processes (60J60) Transport processes in time-dependent statistical mechanics (82C70) Special relativity (83A05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)
Related Items (3)
Newtonian limit and trend to equilibrium for the relativistic Fokker-Planck equation ⋮ Exponential Convergence to Equilibrium for Kinetic Fokker-Planck Equations ⋮ Central limit theorems under special relativity
Cites Work
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- Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution
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- A simple proof of the Poincaré inequality for a large class of probability measures
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- A stochastic approach to relativistic diffusions
- Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
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- Lorentz-invariant Markov processes in relativistic phase space
- Relativistic diffusions and Schwarzschild geometry
- Central limit theorem for a class of relativistic diffusions
- Hydrodynamic behavior of Brownian particles in a position-dependent constant force field
- A diffusion process in curved space–time
- Relativistic diffusions: A unifying approach
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