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arXiv · 2602.18273

Analytical solutions for a charged particle with white, thermal, and active noises in the presence of a uniform magnetic field

Y. J. Kang·S. K. So·Kyungsik Kim
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Abstract

We study the two-dimensional equations of motion for a charged particle subjected to white, thermal, and active noises in uniform a magnetic field. By deriving the corresponding Fokker Planck equation, analytical solutions for the joint probability density are obtained in different time domains.

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Y. J. Kang, S. K. So, Kyungsik Kim. 2026-02-20. Analytical solutions for a charged particle with white, thermal, and active noises in the presence of a uniform magnetic field. https://arxiv.org/abs/2602.18273

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