An anomalous diffusion in a long-range disordered lattice

1988 ◽  
Vol 15 (4) ◽  
pp. 351-355 ◽  
Author(s):  
Bernard Gaveau ◽  
Alain M�ritet
Keyword(s):  
Long Range ◽  
Anomalous Diffusion ◽  
Disordered Lattice

scholarly journals Effect of long-range spatial correlations on the lifetime statistics of an emitter in a two-dimensional disordered lattice

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
N. de Sousa ◽  
J. J. Sáenz ◽  
A. García-Martín ◽  
L. S. Froufe-Pérez ◽  
M. I. Marqués
Keyword(s):  
Long Range ◽  
Two Dimensional ◽  
Spatial Correlations ◽  
Disordered Lattice

Anomalous Diffusion Induced by Random Walks with Hierarchical Long-Range Memory

2005 ◽  
Vol 74 (9) ◽  
pp. 2443-2448 ◽  
Author(s):  
Ryuji Ishizaki ◽  
Naoki Kodama ◽  
Masayoshi Inoue
Keyword(s):  
Random Walks ◽  
Long Range ◽  
Anomalous Diffusion

scholarly journals Two-Species Reaction-Diffusion System: the Effect of Long-Range Spreading

2020 ◽  
Vol 226 ◽  
pp. 02005
Author(s):  
Šarlota Birnšteinová ◽  
Michal Hnatič ◽  
Tomáš Lučivjanský
Keyword(s):  
Long Range ◽  
Anomalous Diffusion ◽  
Particle Density ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Group Method ◽  
Theoretic Approach ◽  
Lévy Flights ◽  
Levy Flights

We study fluctuation effects in the two-species reaction-diffusion system A + B → Ø and A + A → (Ø, A). In contrast to the usually assumed ordinary short-range diffusion spreading of the reactants we consider anomalous diffusion due to microscopic long-range hops. In order to describe the latter, we employ the Lévy stochastic ensemble. The probability distribution for the Lévy flights decays in d dimensions with the distance r according to a power-law r−d−σ. For anomalous diffusion (including Lévy flights) the critical dimension dc = σ depends on the control parameter σ, 0 < σ ≤ 2. The model is studied in terms of the field theoretic approach based on the Feynman diagrammatic technique and perturbative renormalization group method. We demonstrate the ideas behind the B particle density calculation.

Sign in / Sign up

Export Citation Format

Share Document