On dynamical behaviors in the fractional generalized Langevin equation

2024/12/12 by Kang, Yun Jeong, Kim, Kyungsik
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2412.09111

Abstract

The focus of our study in this paper is on the active dynamics and a fractional generalized Langevin equation with a memory kernel K(t). The Fokker-Planck equation is obtained by deriving it from a second-order differential equation. The joint probability density we obtained enables us to calculate various statistical quantities such as mean squared displacement and mean squared velocity in different three-time domains.

Related

• Langevin equation and fractional dynamics
• Langevin Approach to Fractional Diffusion Equations including Inertial Effects
• Viscoelastic active diffusion governed by nonequilibrium fractional Langevin equations: underdamped dynamics and ergodicity breaking
• Numerical study of ergodicity for the overdamped Generalized Langevin Equation with fractional noise
• A shortcut way to the Fokker-Planck equation for the non-Markovian dynamics