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Influence of the environment on anomalous diffusion
Physical Review E, 1995We study the effect of weak environmental fluctuations on a deterministic map dynamics, which, in the unperturbed case, is characterized by anomalous diffusion. We show, with the help of numerical calculations, that there is a crossover time 1/\ensuremath{\epsilon}, at which the waiting time distributions change from an inverse power-law distribution ...
BETTIN R +3 more
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Anomalous collective diffusion
Physical Review Letters, 1994A new region characterized by Levy diffusion exists in collective motion between the adiabaic and diabatic limits. Repeated chaotic scattering off of level crossings, whose repulsive or attractive nature changes dynamically, can result in localization of the collective motion for arbitrarily periods of time, and anomalous diffusion.
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Anomalous Diffusion on the Percolating Networks
Fractals, 1997According to the standard diffusion equation, by introducing reasonably into an anomalous diffusion coefficient, the generalized diffusion equation, which describes anomalous diffusion on the percolating networks with a power-law distribution of waiting times, is derived in this paper. This solution of the generalized diffusion equation is obtained by
Liu, De +3 more
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Multienergy Anomalous Diffuse Scattering
Physical Review Letters, 2008A new approach to local structure determination is presented. A three-dimensional region of the reciprocal space of a SrTiO(3) single crystal was mapped by measuring x-ray diffuse scattering patterns at different sample orientations in order to reconstruct the local atomic structure.
M, Kopecký +4 more
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Anomalous diffusion in the nonasymptotic regime
Physical Review E, 2002We analyze some properties of the one-dimensional Lévy flights, assuming that the one-step transition rates depend on the flight length x as p(alpha)(x) equivalent to x(-(alpha+2)). For flights on a finite, (2M+1)-site lattice, we can define an effective, size-dependent, diffusion coefficient D(alpha)(M) equivalent to [M(1-alpha) - 1]/(1 - alpha) if ...
C A, Condat +2 more
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Anomalous two-state model for anomalous diffusion
Physical Review E, 2001An anomalous two-state model (ATSM) with the anomalous long-tailed kinetics of transitions between states is proposed to describe the specific features of anomalous diffusion (AD) and AD-assisted transitions (ADAT) in the double-well potential. In the ATSM the system is assumed to undergo the conventional diffusion in both states but with different ...
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Anomalous Diffusion at Liquid Surfaces
Physical Review Letters, 1995We study the role of bulk-surface exchange in the diffusion of adsorbed molecules at liquid-solid and liquid-fluid interfaces. For ``strong adsorbers'' (readsorption time much less than desorption time) we find anomalous surface diffusion on time scales less than the surface retention time: Displacement moments grow as $〈{r}^{q}〉\ensuremath{\sim}{t ...
, Bychuk, , O'Shaughnessy
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Minimal model for anomalous diffusion
Physical Review E, 2017A random walk model with a local probability of removal is solved exactly and shown to exhibit subdiffusive behavior with a mean square displacement the evolves as 〈x^{2}(t)〉∼t^{1/2} at late times. This model is shown to be well described by a diffusion equation with a sink term, which also describes the evolution of a pressure or temperature field in ...
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Comment on “Thermodynamics of Anomalous Diffusion”
Physical Review Letters, 1996A Comment on the Letter by Damian Zanette and Pablo A. Alemany, Phys.Rev.Lett. {bold 75}, 366 (1995). The authors of the Letter offer a Reply. {copyright} {ital 1996 The American Physical Society.}
, Cáceres, , Budde
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Spectral design of anomalous diffusion
Physica A: Statistical Mechanics and its Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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