Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-01-30
Physics
Condensed Matter
Statistical Mechanics
submitted to special issue of Molecular Physics
Scientific paper
10.1080/00268970412331292858
The autocorrelation functions for the force on a particle, the velocity of a particle, and the transverse momentum flux are studied for the power law potential $v(r)=\epsilon (\sigma /r)^{\nu}$ (soft spheres). The latter two correlation functions characterize the Green-Kubo expressions for the self-diffusion coefficient and shear viscosity. The short time dynamics is calculated exactly as a function of $\nu $. The dynamics is characterized by a universal scaling function $S(\tau)$, where $\tau =t/\tau_{\nu}$ and $ \tau _{\nu}$ is the mean time to traverse the core of the potential divided by $\nu $. In the limit of asymptotically large $\nu $ this scaling function leads to delta function in time contributions in the correlation functions for the force and momentum flux. It is shown that this singular limit agrees with the special Green-Kubo representation for hard sphere transport coefficients. The domain of the scaling law is investigated by comparison with recent results from molecular dynamics simulation for this potential.
Dufty James W.
Ernst Matthieu H.
No associations
LandOfFree
Exact Short Time Dynamics for Steeply Repulsive Potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact Short Time Dynamics for Steeply Repulsive Potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Short Time Dynamics for Steeply Repulsive Potentials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-628506