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Fractal chemical kinetics: Reacting random walkers

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Publication:1071390
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DOI10.1007/BF01012924zbMath0586.60064OpenAlexW2087312149MaRDI QIDQ1071390

J. S. Newhouse, L. W. Anacker, Raoul Kopelman

Publication date: 1984

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01012924


zbMATH Keywords

percolationspectral dimensionSierpinski gasketsreacting random walkers


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)


Related Items

The critical behavior of dimer-dimer surface reaction models. Monte Carlo and finite-size scaling investigation ⋮ Mathematical analysis of models for reaction kinetics in intracellular environments ⋮ Single random walker on disordered lattices



Cites Work

  • On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
  • Single random walker on disordered lattices
  • Diffusion-limited reaction rate theory for two-dimensional systems
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