Annihilation catastrophe: New critical phenomenon in diffusion-controlled dynamics

2002/12/27 by Boris M. Shipilevsky, Shipilevsky, Boris M.
Computer Science · Environmental Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Ecosystem dynamics and resilience #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0212615

Invited talk given at the 3rd Workshop on Diffusion Assisted Reactions DAR'02 Seoul, Seoul, August 4-9, 2002, 5 pages, REVTEX

arxiv created 2002/12/27 · openalex publication_date 2002/12/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this report is to give an insight into the key features of the phenomenon called Annihilation Catastrophe which may pretend to be one of the most dramatic manifestations of the reaction-diffusion interplay.

Related

• Annihilation Catastrophe: From Formation to Universal Explosion
• Arbitrarily weak head-on collision can induce annihilation -- The role of hidden instabilities
• Reaction-diffusion with a time-dependent reaction rate: the single-species diffusion-annihilation process
• Memory-Controlled Annihilation Reactions
• Transport catastrophe analysis as an alternative to a fractal description: theory and application to financial crisis time series