Year: 2019
Type: preprint
Abstract: Time evolution of the position-velocity correlation functions (PVCF) plays a key role in a new formalism of Brownian motion. A system of differential equations, which governs PVCF, is derived for magnetic Skyrmions on a 2-dimensional magnetic thin film with thermal agitation. In the formalism, a new type of diffusion coeffcient is introduced which does not come out in the usual diffusion equations. The mean-square displacement (MSD) is obtained from the PVCF and found that it oscillates in time when the damping constant is small. It is also shown, even for a structureless particle, that the famous Ornstein-Fuerth formula should be corrected taking a proper initial value of PVCF into account.
Source: arXiv (Cornell University)
Authors: Tamura, E., Suzuki, Y.
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2958987241