Fractional dynamics approach to diffusion-assisted reactions in disordered media

Jaeyoung Sung; Eli Barkai; Robert J. Silbey; Sangyoub Lee

doi:10.1063/1.1448294

Fractional dynamics approach to diffusion-assisted reactions in disordered media

Jaeyoung Sung
, Eli Barkai
, Robert J. Silbey
, Sangyoub Lee

Massachusetts Institute of Technology
Seoul National University

Research output: Contribution to journal › Article › peer-review

73 Scopus citations

Abstract

A theory for describing nonclassical dynamics of reactions occurring in disordered media was presented based on the fractional diffusion equation. An expression for the Green's function was derived which was required to calculate the survival probabilities of reactants. A novel kinetic phase transition dependent on temperature was found. The theory explained the observed features of ligand-protein recombination reactions in a unified manner for a wide range of temperature and time scales.

Original language	English
Pages (from-to)	2338-2341
Number of pages	4
Journal	Journal of Chemical Physics
Volume	116
Issue number	6
DOIs	https://doi.org/10.1063/1.1448294
State	Published - 8 Feb 2002
Externally published	Yes

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10.1063/1.1448294

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title = "Fractional dynamics approach to diffusion-assisted reactions in disordered media",

abstract = "A theory for describing nonclassical dynamics of reactions occurring in disordered media was presented based on the fractional diffusion equation. An expression for the Green's function was derived which was required to calculate the survival probabilities of reactants. A novel kinetic phase transition dependent on temperature was found. The theory explained the observed features of ligand-protein recombination reactions in a unified manner for a wide range of temperature and time scales.",

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AB - A theory for describing nonclassical dynamics of reactions occurring in disordered media was presented based on the fractional diffusion equation. An expression for the Green's function was derived which was required to calculate the survival probabilities of reactants. A novel kinetic phase transition dependent on temperature was found. The theory explained the observed features of ligand-protein recombination reactions in a unified manner for a wide range of temperature and time scales.

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Fractional dynamics approach to diffusion-assisted reactions in disordered media

Abstract

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