Biased Random Process of Randomly Moving Particles with Fixed Mean and Curl

Tao Guo

doi:10.20944/preprints202309.0454.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 5 September 2023 / Approved: 6 September 2023 / Online: 7 September 2023 (11:22:12 CEST)
Version 2 : Received: 14 October 2023 / Approved: 16 October 2023 / Online: 17 October 2023 (09:36:38 CEST)

In this study, we investigate the behavior of randomly moving particles with a defined average energy, focusing on their biased motion around a specific point. These particles' velocity magnitudes follow a Maxwell distribution characterized by certain parameters. Our analysis derives the stochastic rotation rules for these particles and introduces the Ito equation conditions for biased stochastic rotation at a given curl value. We also consider the special relativistic-like effects in this context. The findings are validated through a representative example.

Randomly Moving Particles; Biased Motion; Special Relativistic-like Effects; Curl

Physical Sciences, Mathematical Physics

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Biased Random Process of Randomly Moving Particles with Fixed Mean and Curl

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