Mean field model of coagulation and annihilation reactions in a medium of quenched traps: subdiffusion.

We present a mean field model for coagulation (A+A-->A) and annihilation (A+A-->0) reactions on lattices of traps with a distribution of depths reflected in a distribution of mean escape times. The escape time from each trap is exponentially distributed about the mean for that trap, and the distribution of mean escape times is a power law. Even in the absence of reactions, the distribution of particles over sites changes with time as particles are caught in ever deeper traps, that is, the distribution exhibits aging. Our main goal is to explore whether the reactions lead to further (time dependent) changes in this distribution.

• Publication year

  2008

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2008-11-25

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevE.79.051113arXiv 0811.4131PMID 19518422
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• The subdiffusive targeting problem.

  2008cited by this paper
• Anomalous transport : foundations and applications

  2008cited by this paper
• Number of distinct sites visited by a subdiffusive random walker.

  2007cited by this paper
• Reaction-subdiffusion equations for the A<=>B reaction.

  2007cited by this paper
• Occupation time statistics in the quenched trap model.

  2006cited by this paper
• Anomalous diffusion with linear reaction dynamics: from continuous time random walks to fractional reaction-diffusion equations.

  2006cited by this paper
• Reaction-subdiffusion equations.

  2005cited by this paper
• Aging in subdiffusion generated by a deterministic dynamical system.

  2003cited by this paper
• Diffusion and Reactions in Fractals and Disordered Systems

  2002cited by this paper
• Fluctuation-dominated kinetics in diffusion-controlled reactions.

  1985cited by this paper

• Anomalous protein adsorption/desorption kinetics on low-fouling surfaces

  2019cites this paper
• Occupancy correlations in the asymmetric simple inclusion process.

  2019cites this paper
• Anomalous protein kinetics on low-fouling surfaces.

  2019cites this paper
• Comment on "anomalous versus slowed-down Brownian diffusion in the ligand-binding equilibrium".

  2014cites this paper
• Slow encounters of particle pairs in branched structures.

  2014cites this paper
• Occupation probabilities and fluctuations in the asymmetric simple inclusion process.

  2013cites this paper
• Models of anomalous diffusion in crowded environments

  2012cites this paper
• Equations for the distributions of functionals of a random-walk trajectory in an inhomogeneous medium

  2012cites this paper
• Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking.

  2010cites this paper
• Coagulation reactions in low dimensions: Revisiting subdiffusive A+A reactions in one dimension.

  2009cites this paper