Theoretical Study on the Kinetics of a Special Particle Swarm

Tao Guo

doi:10.20944/preprints202009.0307.v4

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preprints.org > physical sciences > astronomy and astrophysics > doi: 10.20944/preprints202009.0307.v4

Preprint Article Version 4 Preserved in Portico This version is not peer-reviewed

Theoretical Study on the Kinetics of a Special Particle Swarm

Tao Guo

Version 1 : Received: 12 September 2020 / Approved: 14 September 2020 / Online: 14 September 2020 (00:04:07 CEST)
Version 2 : Received: 31 December 2020 / Approved: 5 January 2021 / Online: 5 January 2021 (11:14:18 CET)
Version 3 : Received: 12 November 2021 / Approved: 15 November 2021 / Online: 15 November 2021 (11:10:16 CET)
Version 4 : Received: 7 June 2022 / Approved: 7 June 2022 / Online: 7 June 2022 (08:32:15 CEST)
Version 5 : Received: 10 November 2022 / Approved: 10 November 2022 / Online: 10 November 2022 (03:53:56 CET)

A peer-reviewed article of this Preprint also exists.

Guo, T. Dynamics of stochastic-constrained particles. Sci Rep 13, 2759 (2023). https://doi.org/10.1038/s41598-023-29940-y Guo, T. Dynamics of stochastic-constrained particles. Sci Rep 13, 2759 (2023). https://doi.org/10.1038/s41598-023-29940-y

Abstract

Prior studies have focused on the overall behavior of randomly moving particle swarms. However, the characteristics of ubiquitous special particle swarms that form in these swarms remain unknown. This study demonstrates a generalized diffusion equation for randomly moving particles that considers the velocity and location aggregation effects in a special circumstance (that is, in a moving reference frame R_u relative to a stationary reference frame R₀). This equation can be approximated as the Schrodinger equation in the microcosmic case and describes the kinetics of the total mass distribution in the macrocosmic case. The predicted density distribution of the particle swarm in the stable aggregation state is consistent with the total mass distribution of massive, relaxed galaxy clusters (at least in the range of r < r_s), preventing cuspy problems in the empirical Navarro-Frenk-White (NFW) profile. This article is helpful for inspiring people to think about the essence of universal gravitation.

Keywords

randomly moving particles; effects of location aggregation; relaxed galaxy clusters; generalized diffusion equation

Subject

Physical Sciences, Astronomy and Astrophysics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Comments (1)

Comment 1

Received: 7 June 2022
Commenter: Tao Guo
Commenter's Conflict of Interests: Author

Comment: 1. Added an example to verify the equation.
2. Revised the core paragraph.

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