Brownian motion of a particle with arbitrary shape
Bodan Cichocki, Maria L. Ekiel-Jezewska, Eligiusz Wajnryb
TL;DR
This paper provides a theoretical analysis of Brownian motion for particles of any shape, deriving analytical formulas for their translational and rotational displacement correlations over time.
Contribution
It introduces new analytical expressions for cross-correlations in Brownian motion of arbitrarily shaped particles, highlighting the significance of the mobility center.
Findings
Derived explicit formulas for cross-correlations
Clarified the role of the mobility center
Enhanced understanding of anisotropic Brownian motion
Abstract
Brownian motion of a particle with an arbitrary shape is investigated theoretically. Analytical expressions for the time-dependent cross-correlations of the Brownian translational and rotational displacements are derived from the Smoluchowski equation. The role of the particle mobility center is determined and discussed.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Electrostatics and Colloid Interactions · Quantum and Classical Electrodynamics