Dynamics of Annihilation II: Fluctuations of Global Quantities
arXiv:0801.2491 · doi:10.1103/PhysRevE.77.051128
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.
19 pages
References in corpus (11)
- Scaling Theory and Exactly Solved Models In the Kinetics of Irreversible Aggregation
- Mesoscopic Theory of Granular Fluids
- Scaling and universality of critical fluctuations in granular gases
- Ballistic Annihilation
- Kinetics and scaling in ballistic annihilation
- Dynamics of ballistic annihilation
- Mesoscopic Theory of Critical Fluctuations in Isolated Granular Gases
- Probabilistic ballistic annihilation with continuous velocity distributions
- Hydrodynamics of probabilistic ballistic annihilation
- Dynamics of Annihilation I : Linearized Boltzmann Equation and Hydrodynamics
- Molecular dynamics simulations of ballistic annihilation