Brownian motion around black hole

Romadani, Arista (2021) Brownian motion around black hole. Presented at The International Conference on Engineering, Technology and Social Science (ICONETOS 2020), 31 Oct 2020, Malang, Indonesia.

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Abstract

Brownian motion theory is always challenging to describe diffusion phenomena around a black hole, with the main issue is how to extend the classical theory of Brownian motion to the general relativity framework. In this study, we extended the Brownian motion theory in a curved space-time come from a strong gravitational field on the Schwarzschild black hole. The Brownian motion theory in Schwarzschild space-time was derived by using the Fokker-Planck equation, and the stationary solution was analyzed by Ito, Stratonovich-Fisk, and Hanggi-Klimontovich Approach. The numerical result was found that the Brownian motion in Schwarzschild space-time 1   was reduced to the standard Brownian motion in Newtonian classical theory. According to the Hanggi-Klimontovich approach for 1   the result showed a consistent with the relativistic Maxwell distribution. The Fokker-Planck equation in Schwarzschild space-time was also formulated as a generalization of relativistic Brownian motion theory. This work could open a promising interpretation to formulate the diffusion phenomena around a massive object in the general relativity framework.

Item Type:	Conference (Paper)
Keywords:	Brownian Motion, Diffusion Process, Schwarzschild, Fokker-Planck, General Relativity, Black Hole
Subjects:	02 PHYSICAL SCIENCES > 0201 Astronomical and Space Sciences > 020105 General Relativity and Gravitational Waves
Divisions:	Faculty of Mathematics and Sciences > Department of Physics
Depositing User:	Arista AR Romadani
Date Deposited:	17 Jul 2021 19:50

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