Biased diffusion in percolation systems: indication of multifractal behaviour (original) (raw)
Related papers
II. Territory covered by N random walkers on stochastic fractals. The percolation aggregate
Multifractality of Self-Avoiding Walks on Percolation Clusters
Physical Review Letters, 2008
Where two fractals meet: The scaling of a self-avoiding walk on a percolation cluster
Physical Review E, 2004
2001
Walking on fractals: diffusion and self-avoiding walks on percolation clusters
Journal of Physics A: Mathematical and Theoretical, 2008
Journal of Statistical Physics, 1984
Fluctuations of random walks in critical random environments
Physical Chemistry Chemical Physics, 2018
Percolation on a multifractal scale-free planar stochastic lattice and its universality class
Physical Review E, 2015
Scaling of the Distribution of Shortest Paths in Percolation
Journal of Statistical Physics, 2000
New universality class in percolation on multifractal scale-free planar stochastic lattice
Percolation as a fractal growth problem
Physica A: Statistical Mechanics and its Applications, 1990
Trivial, Critical and Near-critical Scaling Limits of Two-dimensional Percolation
Journal of Statistical Physics, 2009
Path-Crossing Exponents and the External Perimeter in 2D Percolation
Bertrand Duplantier, Michael Aizenman
Physical Review Letters, 1999
Maria Deijfen, Gerard Hooghiemstra
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2013
Number of distinct sites visited on a percolation cluster: Characterization of fluctuations
Physical Review E, 1996
Agglomerative percolation in two dimensions
EPL (Europhysics Letters), 2012
Fractals meet fractals: self-avoiding random walks on percolation clusters
Physics Procedia, 2010
Fractal Behavior of the Shortest Path Between Two Lines in Percolation Systems
Panos Argyrakis, Raoul Kopelman
The Journal of Chemical Physics, 1985
Physical Review E, 2004
Diffusion in three-dimensional random systems at their percolation thresholds
Journal of Statistical Physics, 1990
Scaling Limit and Critical Exponents for Two-Dimensional Bootstrap Percolation
Journal of Statistical Physics, 2005
Varying critical percolation exponents on a multifractal support
Eprint Arxiv Cond Mat 0310779, 2003
Diffusion and fracton dimensionality on fractals and on percolation clusters
1999
Flow between Two Sites in Percolation Systems
Diffusion on percolation clusters with a bias in topological space: non-universal behaviour
Journal of Physics A: Mathematical and General, 1986
Flow between two sites on a percolation cluster
2000