Work

Universal fragmentation in annihilation reactions with constrained kinetics

Year: 2024

Type: article

Abstract: In reaction-diffusion models of annihilation reactions in low dimensions, single-particle dynamics provides a bottleneck for reactions, leading to an anomalously slow approach to the empty state. Here, we construct a reaction model with a reciprocal bottleneck of reactions on particle dynamics in which single-particle motion conserves the center of mass. We show that such a constrained reaction-diffusion dynamics does not approach an empty state but freezes at late times in a state with fragmented particle clusters. The late-time dynamics and final density are universal, and we provide exact results for the final density in the large-reaction rate limit. Thus, our setup constitutes a minimal model for the fragmentation of a one-dimensional lattice into independent particle clusters. We suggest that the universal reaction dynamics could be observable in experiments with cold atoms or in the Auger recombination of exciton gases. Published by the American Physical Society 2024

Source: Physical Review Research

DOI: 10.1103/physrevresearch.6.l032071

Authors: Enrique Rozas Garcia, Alfred Weddig Karlsson, Johannes Hofmann

Institutions: University of Gothenburg, Chalmers University of Technology, Nordic Institute for Theoretical Physics, Stockholm University, KTH Royal Institute of Technology

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funders: Linköpings Universitet, Vetenskapsrådet