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

Baodan Bai; Tao Guo

doi:10.20944/preprints202309.0454.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed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 with a specific scale parameter. 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

Comment 1

Received: 17 October 2023
Commenter: Tao Guo
Commenter's Conflict of Interests: Author

Comment: 1. Equation 9 has been modified.
2. Supplementary Information has been updated.
3. Other minor revisions have been made.

+ Respond to this comment

Not displayed online.

Please leave your comment to this article below.

Mathematical equations can be typed in either LaTeX formats \\[ ... \\] or $$ ... $$, or MathML format <math> ... </math>. Try the LaTeX or MathML example.

Type equation:

Preview:

Copy equation into message below

Close menu

Please click a symbol to insert it into the message box below:

Please enter the link here:

Optionally, you can enter text that should appear as linked text:

Copy link into message below

Close menu

Please enter or paste the URL to the image here (please only use links to jpg/jpeg, png and gif images):

Copy image into message below

Close menu

Type author name or keywords to filter the list of references in this group (you can add a new citation under Bibliography):

No existing citations in Discussion Group

Wikify editor is a simple editor for wiki-style mark-up. It was written by MDPI for Sciforum in 2014. The rendering of the mark-up is based on Wiky.php with some tweaks. Rendering of mathematical equations is done with MathJax. Please send us a message for support or for reporting bugs.

Close menu

Please declare any conflicts of interest you may have with this paper, financial or otherwise.

I do not have a conflict of interest

I would like to declare a conflict of interest

Display my name on the website

Captcha

Renew

I accept the following conditions:

Comments must follow the standards of professional discourse and should focus on the scientific content of the article. Insulting or offensive language, personal attacks and off-topic remarks will not be permitted. Comments must be written in English. Preprints reserves the right to remove comments without notice. Readers who post comments are obliged to declare any competing interests, financial or otherwise.

* All users must log in before leaving a comment

Notify me about updates to this article or when a peer-reviewed version is published.

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

Abstract

Keywords

Subject

Comments (1)