On the Inertial Rotational Brownian Motion of Arbitrarily Shaped Particles

Autor:	Jayaraman, Amitesh S., Ye, Jikai, Chirikjian, Gregory S.
Rok vydání:	2023
Předmět:	Condensed Matter - Statistical Mechanics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	This article reports the modeling of inertial rotational Brownian motion as an Ornstein-Uhlenbeck process evolving on the cotangent bundle of the rotation group, SO(3). The benefit of this approach and the use of a different parameterization of rotations allows the handling of particles with arbitrary shapes, without requiring any simplifying assumptions on the shape or the structure of the viscosity tensors. The resultant Fokker-Planck equation for the joint orientation and angular momentum probability distribution can be solved approximately using an `ansatz' Gaussian distribution in exponential coordinates. Comment: 10 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.07021 Zobrazit plný text záznamu View this record from Arxiv