On the velocity autocorrelation function of a Brownian particle
Roumen Tsekov, Boryan Radoev
TL;DR
This paper investigates the memory effects in Brownian motion within an incompressible fluid, deriving the velocity autocorrelation function using the Mori-Zwanzig formalism and a novel Langevin force formulation.
Contribution
It introduces a new formulation of the Langevin force based on collision dynamics and derives the velocity autocorrelation function considering finite dispersion.
Findings
Derived the stochastic force autocorrelation function with finite dispersion
Obtained the velocity autocorrelation function for Brownian particles
Highlighted the memory effects in Brownian motion
Abstract
Memory effect of Brownian motion in an incompressible fluid is studied. The reasoning is based on the Mori-Zwanzig formalism and a new formulation of the Langevin force as a result of collisions between an effective and the Brownian particles. Thus, the stochastic force autocorrelation function with finite dispersion and the corresponding Brownian particle velocity autocorrelation function are obtained.
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
TopicsStatistical Mechanics and Entropy · Neural Networks and Applications