Anomalous diffusion in supercooled liquids: A long-range localization in particle trajectories

2009 ◽  
Vol 131 (4) ◽  
pp. 044510 ◽  
Author(s):  
T. Oppelstrup ◽  
M. Dzugutov
Keyword(s):  
Long Range ◽  
Anomalous Diffusion ◽  
Supercooled Liquids ◽  
Particle Trajectories

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

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.

scholarly journals Deformation of inherent structures to detect long-range correlations in supercooled liquids

2012 ◽  
Vol 137 (2) ◽  
pp. 024504 ◽  
Author(s):  
Majid Mosayebi ◽  
Emanuela Del Gado ◽  
Patrick Ilg ◽  
Hans Christian Öttinger
Keyword(s):  
Long Range ◽  
Supercooled Liquids ◽  
Long Range Correlations
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