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Fractal Reaction Kinetics

1988/09/23 by Raoul Kopelman · 10 citations
Physics and Astronomy · #Theoretical and Computational Physics #Advanced Thermodynamics and Statistical Mechanics #Spectroscopy and Quantum Chemical Studies

paper · doi:10.1126/science.241.4873.1620

openalex publication_date 1988/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Classical reaction kinetics has been found to be unsatisfactory when the reactants are spatially constrained on the microscopic level by either walls, phase boundaries, or force fields. Recently discovered theories of heterogeneous reaction kinetics have dramatic consequences, such as fractal orders for elementary reactions, self-ordering and self-unmixing of reactants, and rate coefficients with temporal "memories." The new theories were needed to explain the results of experiments and supercomputer simulations of reactions that were confined to low dimensions or fractal dimensions or both. Among the practical examples of "fractal-like kinetics" are chemical reactions in pores of membranes, excitation trapping in molecular aggregates, exciton fusion in composite materials, and charge recombination in colloids and clouds.

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