Dynamics of Annihilation II: Fluctuations of Global Quantities
Abstract
We develop a theory for fluctuations and correlations in a gas evolving under ballistic annihilation dynamics. Starting from the hierarchy of equations governing the evolution of microscopic densities in phase space, we subsequently restrict to a regime of spatial homogeneity, and obtain explicit predictions for the fluctuations and time correlation of the total number of particles, total linear momentum and total kinetic energy. Cross-correlations between these quantities are worked out as well. These predictions are successfully tested against Molecular Dynamics and Monte-Carlo simulations. This provides strong support for the theoretical approach developed, including the hydrodynamic treatment of the spectrum of the linearized Boltzmann operator. This article is a companion paper to arXiv:0801.2299 and makes use of the spectral analysis reported there.
Cite
@article{arxiv.0801.2491,
title = {Dynamics of Annihilation II: Fluctuations of Global Quantities},
author = {P. Maynar and M. I. Garcia de Soria and G. Schehr and A. Barrat and E. Trizac},
journal= {arXiv preprint arXiv:0801.2491},
year = {2009}
}
Comments
19 pages