Results 181 to 190 of about 24,699 (216)

Anomalous diffusion in the nonasymptotic regime

Physical Review E, 2002
We 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, J, Rangel, Pedro W, Lamberti   +2 more
openaire   +2 more sources

Anomalous two-state model for anomalous diffusion

Physical Review E, 2001
An 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 ...
openaire   +2 more sources

Anomalous Diffusion at Liquid Surfaces

Physical Review Letters, 1995
We 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
openaire   +2 more sources

Minimal model for anomalous diffusion

Physical Review E, 2017
A 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 ...
openaire   +2 more sources

Comment on “Thermodynamics of Anomalous Diffusion”

Physical Review Letters, 1996
A 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
openaire   +2 more sources

Spectral design of anomalous diffusion

Physica A: Statistical Mechanics and its Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Anomalous Diffusion in Molecular Communication

IEEE Communications Letters, 2015
We consider anomalous diffusion to model a molecular communication channel. To account for general and practical molecular propagation, we use the fractional diffusion equation and derive the distribution of first passage time in terms of Fox's $H$ -function.
Trang Ngoc Cao, Dung Phuong Trinh, Youngmin Jeong, Hyundong Shin   +3 more
openaire   +1 more source

Anomalous Diffusion in a Magnetized Plasma

Physical Review Letters, 1973
It is shown that the anomalous diffusion of a plasma across a strong external magnetic field may result from the hydrodynamic behavior of the plasma. The hydrodynamic contribution to the velocity-velocity correlation function is found to be proportional to l/B for a magnetized plasma.
openaire   +1 more source

Stochastic pathway to anomalous diffusion

Physical Review A, 1987
We present an appraisal of differential-equation models for anomalous diffusion, in which the time evolution of the mean-square displacement is 〈${r}^{2}$(t)〉\ensuremath{\sim}${t}^{\ensuremath{\gamma}}$ with \ensuremath{\gamma}\ensuremath{\ne}1. By comparison, continuous-time random walks lead via generalized master equations to an integro-differential
, Klafter, , Blumen, , Shlesinger
openaire   +2 more sources

Anomalous diffusion and weak nonergodicity

Physical Review E, 2011
Ergodic behavior of the class of G processes G(t)=∫(t(m))(t)du K(t,u)ξ(u)-∫(t(m))(0)du K(0,u)ξ(u), (ξ(t))=0, (ξ(t)ξ(s))=ϕ(|t-s|) is examined. Ergodicproperties are only G extensions of normal diffusion (K=1) and of Mandelbrot-Van Ness fractional diffusion [K(t,u)=K(t-u), t(m)→-∞].
openaire   +2 more sources