Dynamics of Stochastic-constrained Particles

Tao Guo

doi:10.20944/preprints202009.0307.v5

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preprints.org > physical sciences > astronomy and astrophysics > doi: 10.20944/preprints202009.0307.v5

Preprint Article Version 5 Preserved in Portico This version is not peer-reviewed

Dynamics of Stochastic-constrained Particles

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 the stochastic-constrained particles that form ubiquitously within these swarms remain oblivious. This study demonstrates a generalized diffusion equation for stochastic-constrained particles that considers the velocity and location aggregation effects observed from their parent particle swarm (i.e., a completely random particle swarm). This equation can be approximated as the form of Schr\"odinger equation in the microcosmic case (low relative density) and describe the dynamics of the total mass distribution in the macrocosmic case (high relative density). 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 study opens a window to observe the dynamics of stochastic-constrained particles from a third perspective, from which the aggregation effect of particles without gravitation can be saw.

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: 10 November 2022
Commenter: Tao Guo
Commenter's Conflict of Interests: Author

Comment: Minor but important revisions on Section 3.3, 3.4.1 and 3.5.

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