Scaling of Reaction Zones in the A+B->0 Diffusion-Limited Reaction

TL;DR

This paper investigates the scaling behavior of reaction zones in the A+B->0 diffusion-limited system across different initial conditions and dimensions, using renormalization group analysis and analogies to derive new exponents.

Contribution

It introduces a unified scaling framework for steady-state, time-dependent, and initially mixed systems in the A+B->0 reaction, extending previous models with new exponents.

Findings

Derived scaling laws for steady-state reaction zones.

Extended results to time-dependent segregated systems.

Identified new exponents for systems in dimensions less than 4.

Abstract

We study reaction zones in three different versions of the A+B->0 system. For a steady state formed by opposing currents of A and B particles we derive scaling behavior via renormalization group analysis. By use of a previously developed analogy, these results are extended to the time-dependent case of an initially segregated system. We also consider an initially mixed system, which forms reaction zones for dimension d<4. In this case an extension of the steady-state analogy gives scaling results characterized by new exponents.