Fokker-Planck Equation : Long-Time Dynamics in Approach to Equilibrium
Himadri S. Samanta, J. K. Bhattacharjee
TL;DR
This paper explores how systems described by the Fokker-Planck equation evolve over time towards equilibrium, emphasizing barrier penetration, Kramers' time, and links to quantum mechanics.
Contribution
It provides insights into the long-time dynamics of Fokker-Planck systems, connecting stochastic processes with quantum mechanics and analyzing barrier crossing times.
Findings
Analysis of approach to equilibrium in Fokker-Planck systems
Discussion of barrier penetration and Kramers' time
Connection between stochastic processes and quantum mechanics
Abstract
We discuss the approach to equilibrium of systems governed by the Fokker-Planck equation. In particular, we focus on problems involving barrier penetration and the associated Kramers' time. We also describe the connection between stochastic processes and quantum mechanics.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsstochastic dynamics and bifurcation · Advanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy