Diffusion on two-dimensional random walks (original) (raw)

Deterministic fractal models for transport properties, inspired by d=2 random walks

Raf Dekeyser

Physical review. A, 1989

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Random walks with intersections: Static and dynamic fractal properties

Raf Dekeyser

Physical review. A, 1987

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Statistics of the two self-avoiding random walks on the three-dimensional fractal lattices

Vladimir Miljkovic

Chaos, Solitons & Fractals, 2007

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Effective degrees of freedom of a random walk on a fractal

Alexander Balankin

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Diffusion on fractal substrates

Raf Dekeyser

Lecture Notes in Physics, 1994

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Random walk through fractal environments

H Isliker

Physical Review E, 2003

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Random walks on fractals: higher moments

Panos Argyrakis, Raoul Kopelman

Journal of Physics A: Mathematical and General, 1988

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Self-avoiding random walks on multifractal lattices

Bruce Elenbogen

Journal of Physics A: Mathematical and General, 1989

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Biased random walk on a deterministic fractal

Katja Lindenberg

Physical Review A, 1990

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Multifractality of random walks and localized excitations on linear random fractals

Eduardo Roman

Physica A: Statistical Mechanics and its Applications, 1992

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Biased Diffusion in Chainlike Fractal Structures: Universal Behaviour

Eduardo Roman

Europhysics Letters (EPL), 1988

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II. Territory covered by N random walkers on stochastic fractals. The percolation aggregate

Luis Acedo

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LE JOURNAL DE PHYSIQUE Self-avoiding walks on fractal spaces

J. Vannimenus

2014

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Territory covered by N random walkers on fractal media: The Sierpinski gasket and the percolation aggregate

Luis Acedo

2001

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Critical behaviour of the Edwards random walk in two dimensions: a case where the fractal and Hausdorff dimensions are not equal

P. Forcrand

Journal of Physics A: Mathematical and General, 1988

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Random walk and broad distributions on fractal curves

anil gangal

Chaos, Solitons & Fractals, 2019

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Walking on fractals: diffusion and self-avoiding walks on percolation clusters

Viktoria Blavatska

Journal of Physics A: Mathematical and Theoretical, 2008

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Fractal dimension results for continuous time random walks

Erkan Nane, Mark Meerschaert

Statistics & Probability Letters, 2013

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Random walks on fractals and stretched exponential relaxation

Philippe Jund

Physical review. E, Statistical, nonlinear, and soft matter physics, 2001

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I. Territory covered by N random walkers on deterministic fractals. The Sierpinski gasket

Luis Acedo

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Fractal fractal dimensions of deterministic transport coefficients

Rainer Klages

Journal of Physics A-mathematical and General, 2003

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Where two fractals meet: The scaling of a self-avoiding walk on a percolation cluster

Viktoria Blavatska

Physical Review E, 2004

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Geometry controlled anomalous diffusion in random fractal geometries

Yousof Mardoukhi

2015

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Application of Fractal Concepts to Polymer Statistics and to Anomalous Transport in Randomly Porous Media

Eugene Stanley

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New percolating structures in random fractals in 2d and 3d

Michel Perreau

Physica A: Statistical Mechanics and its Applications, 1989

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Fractal Dynamics

Raf Dekeyser

Physica Scripta, 1989

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Geometry controlled anomalous diffusion in random fractal geometries: looking beyond the infinite cluster

Yousof Mardoukhi

Physical Chemistry Chemical Physics, 2015

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Fractal to Euclidean crossover and scaling for random walks on percolation clusters. II. Three-dimensional lattices

Panos Argyrakis, Raoul Kopelman

The Journal of Chemical Physics, 1985

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Diffusion and fracton dimensionality on fractals and on percolation clusters

S. Havlin

1999

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Fractal chemical kinetics: Reacting random walkers

James Newhouse

Journal of Statistical Physics, 1984

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