On dynamical behaviors in the fractional generalized Langevin equation

Yun Jeong Kang; Kyungsik Kim

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arXiv · 2412.09111

On dynamical behaviors in the fractional generalized Langevin equation

Yun Jeong Kang·Kyungsik Kim

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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.

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Yun Jeong Kang, Kyungsik Kim. 2024-12-12. On dynamical behaviors in the fractional generalized Langevin equation. https://arxiv.org/abs/2412.09111

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