From ballistic to diffusive behavior in periodic potentials
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Publication:2427419
DOI10.1007/s10955-008-9493-3zbMath1152.82015arXiv0707.2352OpenAlexW2138692902MaRDI QIDQ2427419
Publication date: 13 May 2008
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.2352
Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)
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Cites Work
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- Einstein's relation between diffusion constant and mobility for a diffusion model
- Noise-induced transitions. Theory and applications in physics, chemistry, and biology
- Some remarks on the Smoluchowski-Kramers approximation
- Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
- Homogenization of Ornstein-Uhlenbeck process in random environment
- Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
- The Fokker-Planck equation. Methods of solution and applications.
- Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
- Random perturbations of nonlinear oscillators
- A remark on random perturbations of the nonlinear pendulum
- Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators.
- Time scales in homogenization of periodic flows with vanishing molecular diffusion
- Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom
- Periodic homogenization for hypoelliptic diffusions
- A boundary layer theory for diffusively perturbed transport around a heteroclinic cycle
- Geometric aspects of averaging
- Random perturbations of Hamiltonian systems
- Stochastic Averaging Near Homoclinic Orbits Via Singular Perturbations
- Ohrnstein—uhlenbeck process in a random potential
- Multiscale Methods
- Analysis of White Noise Limits for Stochastic Systems with Two Fast Relaxation Times
- Brownian motors: noisy transport far from equilibrium
