Interfacial Reactions: Mixed Order Kinetics and Segregation Effects

Details Interfacial Reactions: Mixed Order Kinetics and Segregation Effects Interfacial Reactions: Mixed Order Kinetics and Segregation Effects

1998-04-08

arxiv.org/abs/cond-mat/9804091v2

Phys. Rev. Lett., v.84, p.3193 (2000)

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 2 figures (uses fund.sty). Numerical simulation results added, minor changes. Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.3193

We study A-B reaction kinetics at a fixed interface separating A and B bulks. Initially, the number of reactions ${\cal R}_t \sim t n_A^\infty n_B^\infty$ is 2nd order in the far-field densities $n_A^\infty,n_B^\infty$. First order kinetics, governed by diffusion from the dilute bulk, onset at long times: ${\cal R}_t\approx x_t n_A^\infty$ where $x_t\sim t^{1/z}$ is the rms molecular displacement. Below a critical dimension, $d

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