A I Shushin 2005 New J. Phys. 7 21 doi:10.1088/1367-2630/7/1/021
Kinetics of subdiffusion-assisted reactions: non-Markovian stochastic Liouville equation approach
Focus on Brownian Motion and Diffusion in the 21st CenturyA I Shushin
Show affiliationsPart of Focus on Brownian Motion and Diffusion in the 21st Century
Anomalous specific features of the kinetics of subdiffusion-assisted bimolecular reactions (time-dependence, dependence on parameters of systems, etc) are analysed in detail with the use of the non-Markovian stochastic Liouville equation (SLE), which has been recently derived within the continuous-time random-walk (CTRW) approach. In the CTRW approach, subdiffusive motion of particles is modelled by jumps whose onset probability distribution function is of a long-tailed form. The non-Markovian SLE allows for rigorous describing of some peculiarities of these reactions; for example, very slow long-time behaviour of the kinetics, non-analytical dependence of the reaction rate on the reactivity of particles, strong manifestation of fluctuation kinetics showing itself in very slowly decreasing behaviour of the kinetics at very long times, etc.
- PACS
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87.15.R- Reactions and kinetics
- MSC
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35K57 Reaction-diffusion equations
62M09 Non-Markovian processes: estimation
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (See also 80A30)
- Subjects
- Dates
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Issue 1 (January 2005)
Received 25 August 2004
Published 31 January 2005
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Kinetics of subdiffusion-assisted reactions: non-Markovian stochastic Liouville equation approach
A I Shushin 2005 New J. Phys. 7 21
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