Stochastic dynamics of collective modes for Brownian dipoles.

The Effects of Different SDE Calculus on Dynamics of Nano-Aerosols Motion in Two Phase Flow Systems

Langevin equation for a nano-particle suspended in a laminar fluid flow was analytically studied. The Brownian motion generated from molecular bombardment was taken as a Wiener stochastic process and approximated by a Gaussian white noise. Euler-Maruyama method was used to solve the Langevin equation numerically. The accuracy of Brownian simulation was checked by performing a series of simulati...

Mesoscopic virial equation for nonequilibrium statistical mechanics

We derive a class of mesoscopic virial equations governing energy partition between conjugate position and momentum variables of individual degrees of freedom. They are shown to apply to a wide range of nonequilibrium steady states with stochastic (Langevin) and deterministic (Nosé–Hoover) dynamics, and to extend to collective modes for models of heat-conducting lattices. A macroscopic virial t...

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Pushing Measurement to the Ultimate Stochastic Limit: the Stochastic Dynamics of Fluid-coupled Nanocantilevers Afosr Fa9550-07-1-0222 Final Report

We have developed a fundamental understanding of nanoscale fluid dynamics for fluidbased technologies with unprecedented capabilities. Using analytics and numerics we have investigated the Brownian driven, and externally driven, dynamics of micro and nanoscale elastic objects (such as cantilevers and beams) in a viscous fluid over a wide range of system parameters and for a number of experiment...

X iv : c on d - m at / 0 30 60 47 v 1 3 J un 2 00 3 Local Relaxation and Collective Stochastic Dynamics

Damping and thermal fluctuations have been introduced to collective normal modes of a magnetic system in recent modeling of dynamic thermal magnetization processes. The connection between this collective stochastic dynamics and physical local relaxation processes is investigated here. A system of two coupled magnetic grains embedded in two separate oscillating thermal baths is analyzed with no ...