Self-Consistent Model of Annihilation-Diffusion Reaction with Long-Range Interactions

Abstract

We introduce coarse-grained hydrodynamic equations of motion for diffusion-annihilation system with a power-law long-range interaction. By taking into account fluctuations of the conserved order parameter - charge density - we derive an analytically solvable approximation for the nonconserved order parameter - total particle density. Asymptotic solutions are obtained for the case of random Gaussian initial conditions and for system dimensionality $d\ge 2$. Large-t, intermediate-t and small-t asymptotics were calculated and compared with existing scaling theories, exact results and simulation data.

22 pages, RevTEX, 1 PostScript figure

References in corpus (3)

• Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction
• Annihilation of Charged Particles
• Scaling Model of Annihilation-Diffusion Kinetics for Charged Particles with Long-Range Interactions

Cited by in corpus (8)

• Thermal quenches in spin ice
• Dynamical fluctuations in the Riesz gas
• Ionic Reactions in Two Dimensions with Disorder
• Reaction Zones and Quenched Charged-Particle Systems with Long-Range Interactions
• Dynamical Spreading and Memory Retention Under Power Law Potential
• Long-range Coulomb interactions and nonhydrodynamic behavior in thermal quenches in spin ice
• Annihilation of single-species charged particles based on the Dyson gas dynamics
• Charged Aggregation