Proses difusi relativistik melalui persamaan langevin dan fokker-planck

Romadani, Arista and Rosyid, Muhammad Farchani (2022) Proses difusi relativistik melalui persamaan langevin dan fokker-planck. Jurnal Teknosains, 11 (2). pp. 101-111. ISSN 24431311

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Abstract

Brownian motion theory is always challenging how to describe diffusion phenomena with the main issue is how to extend the classical theory of Brownian motion to the special relativity framework. In this study, we formulated dynamics and distribution of a Brownian particle in relativistic framework by using Langevin and Fokker-Planck equation. By representing Brownian particle dynamics by Langevin equation, the velocity curves were dependent on the presence of viscous friction coefficient (heat bath), and were used generalized in special relativity theory, A relativistic Langevin equation reduces to the classical theory at low velocities. Likewise, the distribution of Brownian particles is represented as a stationary solution of the relativistic Fokker-Planck equation. From numerical results, we found that the probability density in the relativistic Fokker-Planck equation for was reduced to the standard Fokker-Planck equation in Netownian classical theory. For the calculation result showed that the Hanggi-Klimontovich approach has a consistent result to the relativistic Maxwell distribution. This work could open a promising interpretation to formulate the diffusion phenomena into general relativity theory.

Item Type:	Journal Article
Keywords:	Brownian; relativity; Langevin; Fokker-Planck; diffusion.
Subjects:	02 PHYSICAL SCIENCES > 0299 Other Physical Sciences > 029902 Complex Physical Systems
Divisions:	Faculty of Mathematics and Sciences > Department of Physics
Depositing User:	Arista AR Romadani
Date Deposited:	14 Jun 2022 13:12

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