Results 51 to 60 of about 347,242 (278)

Supersymmetric time-continuous discrete random walks

open access: yesPhysical Review E, 1995
replaced with published version, 2 figures available from HCR, no essential changes, 11 pages of ...
Rosu, Haret C., Reyes, Marco
openaire   +3 more sources

Structural and temporal heterogeneities on networks

open access: yesApplied Network Science, 2019
A heterogeneous continuous time random walk is an analytical formalism for studying and modeling diffusion processes in heterogeneous structures on microscopic and macroscopic scales.
Liubov Tupikina, Denis S. Grebenkov
doaj   +1 more source

Limit Theorems for Additive Functionals of Continuous-Time Lattice Random Walks in a Stationary Random Environment

open access: yesAustrian Journal of Statistics, 2023
For a continuous-time lattice random walk $X^\Lambda=\set{X^\Lambda_t,t\ge 0}$ in a random environment $\Lambda$, we study the asymptotic behavior, as $t\rightarrow \infty$, of the normalized additive functional $c_t\int_0^{t} f(X^\Lambda_s)ds$, $t\ge 0$
Georgiy Shevchenko, Andrii Yaroshevskiy
doaj   +1 more source

Quantum walk on a chimera graph

open access: yesNew Journal of Physics, 2018
We analyse a continuous-time quantum walk on a chimera graph, which is a graph of choice for designing quantum annealers, and we discover beautiful quantum walk features such as localization that starkly distinguishes classical from quantum behaviour ...
Shu Xu   +5 more
doaj   +1 more source

Continuous Time Random Walk and Migration Proliferation Dichotomy

open access: yes, 2015
A theory of fractional kinetics of glial cancer cells is presented. A role of the migration-proliferation dichotomy in the fractional cancer cell dynamics in the outer-invasive zone is discussed an explained in the framework of a continuous time random ...
Iomin, A.
core   +1 more source

Continuous-time random walks and traveling fronts [PDF]

open access: yesPhysical Review E, 2002
We present a geometric approach to the problem of propagating fronts into an unstable state, valid for an arbitrary continuous-time random walk with a Fisher-Kolmogorov-Petrovski-Piskunov growth/reaction rate. We derive an integral Hamilton-Jacobi type equation for the action functional determining the position of reaction front and its speed.
Fedotov, Sergei, Méndez, Vicenç
openaire   +7 more sources

Doubly stochastic continuous time random walk

open access: yesPhysical Review Research
Since its introduction some 60 years ago, the Montroll-Weiss continuous time random walk has found numerous applications due its ease of use and ability to describe both regular and anomalous diffusion. Yet, despite its broad applicability and generality,
Maxence Arutkin, Shlomi Reuveni
doaj   +1 more source

Fractal Generalization of the Scher–Montroll Model for Anomalous Transit-Time Dispersion in Disordered Solids

open access: yesMathematics, 2020
The Scher–Montroll model successfully describes subdiffusive photocurrents in homogeneously disordered semiconductors. The present paper generalizes this model to the case of fractal spatial disorder (self-similar random distribution of localized states)
Renat T. Sibatov
doaj   +1 more source

Langevin formulation of a subdiffusive continuous time random walk in physical time [PDF]

open access: yes, 2015
Systems living in complex non equilibrated environments often exhibit subdiffusion characterized by a sublinear power-law scaling of the mean square displacement. One of the most common models to describe such subdiffusive dynamics is the continuous time
Baule, Adrian, Cairoli, Andrea
core   +2 more sources

Non-linear continuous time random walk models [PDF]

open access: yesThe European Physical Journal B, 2017
A standard assumption of continuous time random walk (CTRW) processes is that there are no interactions between the random walkers, such that we obtain the celebrated linear fractional equation either for the probability density function of the walker at a certain position and time, or the mean number of walkers.
Stage, Helena, Fedotov, S.
openaire   +2 more sources

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