학술논문

Steady state of overdamped particles in the non-conservative force field of a simple non-linear model of optical trap
Document Type
Working Paper
Source
Journal of Statistical Mechanics: Theory and Experiment (2021) 113205
Subject
Condensed Matter - Statistical Mechanics
Language
Abstract
Optically trapped particles are often subject to a non-conservative scattering force arising from radiation pressure. In this paper we present an exact solution for the steady state statistics of an overdamped Brownian particle subjected to a commonly used force field model for an optical trap. The model is the simplest of its kind that takes into account non-conservative forces. In particular, we present exact results for certain marginals of the full three dimensional steady state probability distribution as well as results for the toroidal probability currents which are present in the steady state, as well as for the circulation of theses currents. Our analytical results are confirmed by numerical solution of the steady state Fokker-Planck equation.
Comment: 14 pages, 3 figures