Mass transport in Fokker–Planck equations with tilted periodic potential
From MaRDI portal
Publication:5056721
DOI10.1017/S0956792519000251zbMath1506.35239arXiv1801.07095MaRDI QIDQ5056721
Michael Herrmann, Barbara Niethammer
Publication date: 8 December 2022
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.07095
asymptotic analysis of singular limitsFokker-Planck equations with tilted period potentialmodel reduction for multi-scale dynamical systems
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Fokker-Planck equations (35Q84)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction
- Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape
- Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control
- Kramers' formula for chemical reactions in the context of Wasserstein gradient flows
- Einstein's relation between diffusion constant and mobility for a diffusion model
- Asymptotic velocity of one dimensional diffusions with periodic drift
- Asymmetric potentials and motor effect: a homogenization approach
- The Fokker-Planck equation. Methods of solution and applications.
- Free energy and the Fokker-Planck equation
- The long time behavior of Brownian motion in tilted periodic potentials
- Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
- A homogenization approach for the motion of motor proteins
- Corrections to Einstein's relation for Brownian motion in a tilted periodic potential
- From ballistic to diffusive behavior in periodic potentials
- Asymptotics for Scaled Kramers--Smoluchowski Equations
- Kramers' law: Validity, derivations and generalisations
- From Diffusion to Reaction via $\Gamma$-Convergence
- The Variational Formulation of the Fokker--Planck Equation
- A Semiclassical Approach to the Kramers--Smoluchowski Equation
- Kramers and Non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint
- Stochastic Stokes' Drift, Homogenized Functional Inequalities, and Large Time Behavior of Brownian Ratchets
- Brownian motion in a field of force and the diffusion model of chemical reactions
- Optimal Transport
