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Random walks on percolation clusters

A Pacheco-Pozo, I Sokolov, Universal fluctuations and ergodicity of generalized diffusivity on critical percolation clusters, JPA 55, 345001 (2022) – doi

A Pacheco-Pozo, I Sokolov, Convergence to a Gaussian by Narrowing of Central Peak in Brownian yet Non-Gaussian Diffusion in Disordered Environments, PRL 127, 120601 (2021) – doi

H Janssen, O Stenull, Distribution functions in percolation problems, PRE 79, 011128 (2009)

E Cuansing, H Nakanishi, Structure and diffusion time scales of disordered clusters, PA 322, 1 (2003)

A Klemm, R Metzler, R Kimmich, Diffusion on random-site percolation clusters: Theory and NMR microscopy experiments with model objects, PRE 65, 021112 (2002)

P Jund, R Jullien, I Campbell, Random walks on fractals and stretched exponential relaxation, PRE 63, 036131 (2001)

J Drager, A Bunde, Random walks on percolation with a topological bias: Decay of the probability density, PA 266, 62 (1999)

O Gonzalez, M Araujo, Anomalous relaxation in regular and fractal lattices, PRE 55, 2222 (1997)

M Porto, A Bunde, S Havlin, H Roman, Structural and dynamical properties of the percolation backbone in two and three dimensions, PRE 56, 1667 (1997)

A Aharony, R Blumenfeld, A Harris, Distribution of the logarithms of currents in percolating resistor networks. I. Theory, PRB 47, 5756 (1993)

J Adler, A Aharony, R Blumenfeld, A Harris, Y Meir, Distribution of the logarithms of currents in percolating resistor networks. II. Series expansions, PRB 47, 5770 (1993)

J Mastorakos, P Argyrakis, Transport on the percolation backbone, PRE 48, 4847 (1993)

S Mukherjee, H Nakanishi, N Fuchs, Markov chain analysis of random walks in disordered media, PRE 49, 5032 (1994)

A Harris, Resistance correlations in random structures, Philos Mag B 56, 833 (1987)

J Machta, R Guyer, S Moore, Conductivity in percolation networks with broad distributions of resistances, PRB 33, 4818 (1986)

S Havlin, D Movshovitz, B Trus, G H Weiss, Probability densities for the displacement of random walks on percolation clusters, JPA 18, L719 (1985)

I Majid, D Ben-Avraham, S Havlin, H Stanley, Exact-enumeration approach to random walks on percolation clusters in two dimensions, PRB 30, 1626 (1984)

P Argyrakis, R Kopelman, Random walk on percolation clusters, PRB 29, 511 (1984)

Y Gefen, A Aharony, S Alexander, Anomalous diffusion on percolating clusters, PRL 50, 77 (1983)

First passage time and trapping

S Yuste, L Acedo, Order statistics of Rosenstock's trapping problem in disordered media, PRE 68, 036134 (2003)

L Acedo, S Yuste, Survival probability and order statistics of diffusion on disordered media, PRE 66, 011110 (2002)

K Murthy, L Gallos, P Argyrakis, K W Kehr, Number of distinct sites visited on a percolation cluster: Characterization of fluctuations, PRE 54, 6922 (1996)

S Mukherjee, H Nakanishi, Diffusion with critically correlated traps and the slow relaxation of longest wavelength mode, cond-mat/9510056