Rotational hot Brownian motion

Hot brownian motion.

We derive the markovian description for the nonequilibrium brownian motion of a heated nanoparticle in a simple solvent with a temperature-dependent viscosity. Our analytical results for the generalized fluctuation-dissipation and Stokes-Einstein relations compare favorably with measurements of laser-heated gold nanoparticles and provide a practical rational basis for emerging photothermal trac...

Rotational Brownian Motion of a Massive Binary

The orientation of a massive binary undergoes a random walk due to gravitational encounters with field stars. The rotational diffusion coefficient for a circular-orbit binary is derived via scattering experiments. The binary is shown to reorient itself by an angle of order √ m/M during the time that its semi-major axis shrinks appreciably, where M is the binary mass and m the perturber mass. Im...

Fiber Brownian Motion and the “hot Spots” Problem

1. Introduction. The main purpose of this article is to give a stronger counterexample to the " hot spots " conjecture than the one presented in Burdzy and Werner [7]. Along the way we define and partly analyze a new process, which we call fiber Brownian motion, and which may have some interest of its own. Consider a Euclidean domain that has a discrete spectrum for the Laplacian with Neumann b...

FIBER BROWNIAN MOTION AND THE “ HOT SPOTS ” PROBLEM Richard

We show that in some planar domains both extrema of the second Neumann eigenfunction lie strictly inside the domain. The main technical innovation is the use of “fiber Brownian motion,” a process which switches between two-dimensional and one-dimensional evolution.

On the Hot Spots of a Catalytic Super-brownian Motion