1999/01/15 by Zoran Konkoli, Henrik Johannesson, Benjamin P. Lee
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Protein Structure and Dynamics #Spectroscopy and Quantum Chemical Studies #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.59.r3787
published as Phys. Rev. E 59(4), R3787 (1999) · 5 pages, 4 figures, Accepted for publication in Phys. Rev. E (Rapid Communication)
arxiv created 1999/01/15 · openalex publication_date 1999/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a simple model for reaction-diffusion systems with orientational constraints on the reactivity of particles, and map it onto a field theory with upper critical dimension dc=2. To the two-loop level, long-time particle density N(t) is given by the same universal expression as for a nonsteric system, with N(t)\ensuremath∼t^\ensuremath-d/2 for d<~2. For slow rotations of the particles we find an intermediate regime where N(t)\ensuremath∼t^\ensuremath-d/4, with the crossover to the nonsteric asymptotics determined by the rates of rotations and reactions. Consequences for experiments are discussed.