Rotational hot Brownian motion
Daniel Rings, Dipanjan Chakraborty, Klaus Kroy
TL;DR
This paper develops a Markov theory for the rotational Brownian motion of laser-heated nanostructures, deriving analytical expressions for effective temperature and friction, validated by experiments and simulations, advancing understanding of hot Brownian dynamics.
Contribution
It introduces a novel Markov model for hot nanostructure rotation, providing analytical formulas validated by experiments and simulations, enhancing the theoretical framework of hot Brownian motion.
Findings
Analytical expressions for effective temperature and friction derived.
Model validated against experimental measurements.
Simulations confirm theoretical predictions across temperature ranges.
Abstract
We establish an effective Markov theory for the rotational Brownian motion of hot nanobeads and nanorods. Compact analytical expressions for the effective temperature and friction are derived from the fluctuating hydrodynamic equations of motion. They are verified by comparison with recent measurements and with GPU powered parallel molecular dynamics simulations over a wide temperature range. This provides unique insights into the physics of hot Brownian motion and an excellent starting point for further experimental tests and applications involving laser-heated nanobeads, nanorods and Janus particles.
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