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Models with mixed origins of anomalous subdiffusion have been considered important for understanding transport in biological systems. Here, one such mixed model, the quenched trap model (QTM) on fractal lattices, is investigated. It is…

Statistical Mechanics · Physics 2015-06-22 Tomoshige Miyaguchi , Takuma Akimoto

Anomalous transport in a circular comb is considered. The circular motion takes place for a fixed radius, while radii are continuously distributed along the circle. Two scenarios of the anomalous transport, related to the reflecting and…

Disordered Systems and Neural Networks · Physics 2021-01-29 A. Iomin

We report on a striking departure from the canonical step sequence of quantized conductance in a ballistic, quasi-one-dimensional metallic channel. Ideally, in such a structure, each sub-band population contributes its Landauer conductance…

Mesoscale and Nanoscale Physics · Physics 2019-02-01 Frederick Green , Mukunda P. Das

Robust topological edge modes may evolve into complex-frequency modes when a physical system becomes non-Hermitian. We show that, while having negligible forward optical extinction cross section, a conjugate pair of such complex topological…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 C. W. Ling , Ka Hei Choi , T. C. Mok , Z. Q. Zhang , Kin Hung Fung

Differential models for hydrodynamic, passive-scalar and wave turbulence given by nonlinear first- and second-order evolution equations for the energy spectrum in the $k$-space were analysed. Both types of models predict formation an…

Fluid Dynamics · Physics 2015-05-28 Simon Thalabard , Sergey Nazarenko , Sebastien Galtier , Sergey Medvedev

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

The translocation dynamics of a polymer chain through a nanopore in the absence of an external driving force is analyzed by means of scaling arguments, fractional calculus, and computer simulations. The problem at hand is mapped on a one…

Soft Condensed Matter · Physics 2007-07-29 J. L. A. Dubbeldam , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

This paper illustrated the possible relationship between the occurrences of the earthquake and the anomalous line-of-sight propagations in the very high frequency band by the fast Fourier transform spectral analysis. Despite many anomalous…

Geophysics · Physics 2019-03-06 Zhao Wang , Tie Zhou , Kuniyuki Motojima , Ze Jin Yang

Fractional Brownian motion (fBm) is a ubiquitous diffusion process in which the memory effects of the stochastic transport result in the mean squared particle displacement following a power law, $\langle {\Delta r}^2 \rangle \sim…

Applied Physics · Physics 2020-10-06 Raviteja Vangara , Kim Ø. Rasmussen , Dimiter N. Petsev , Golan Bel , Boian S. Alexandrov

We study a process of anomalous diffusion, based on intermittent velocity fluctuations, and we show that its scaling depends on whether we observe the motion of many independent trajectories or that of a Liouville-like equation driven…

Statistical Mechanics · Physics 2009-11-07 M. Bologna , P. Grigolini , B. J. West

In this work we study the transition from normal to anomalous diffusion of Brownian particles on disordered potentials. The potential model consists of a series of "potential hills" (defined on unit cell of constant length) whose heights…

Disordered Systems and Neural Networks · Physics 2016-03-23 R. Salgado-Garcia

Active (i.e., self-propelled or swimming) particles moving through an isotropic fluid exhibit conventional diffusive behavior. We report anomalous diffusion of an active particle moving in an anisotropic, nematic background. Whilst the…

Soft Condensed Matter · Physics 2016-06-22 John Toner , Hartmut Löwen , Henricus H. Wensink

Anomalous short- and long-time self-diffusion of non-overlapping fractal particles on a percolation cluster with spreading dimension $1.67(2)$ is studied by dynamic Monte Carlo simulations. As reported in Phys. Rev. Lett. 115, 097801…

Computational Physics · Physics 2020-10-08 Marco Heinen

We study anomalous diffusion for one-dimensional systems described by a generalized Langevin equation. We show that superdiffusion can be classified in slow superdiffusion and fast superdiffusion. For fast superdiffusion we prove that the…

Statistical Mechanics · Physics 2007-05-23 Ismael V. L. Costa , Rafael Morgado , Marcos V. B. T. Lima , Fernando A. Oliveira

Flux ratio `anomalies' in quadruply-imaged gravitational lenses can be explained with galactic substructure of the sort predicted by CDM, but the strength and uniqueness of that hypothesis needs to be further assessed. A good way to do that…

Astrophysics · Physics 2009-11-10 Gregory Dobler , Charles R. Keeton

We show by extensive simulations that the whole supercritical phase of the three-dimensional uniform forest model simultaneously exhibits an infinite tree and a rich variety of critical phenomena. Besides typical scalings like algebraically…

Statistical Mechanics · Physics 2024-05-08 Hao Chen , Jesús Salas , Youjin Deng

Chiral anomaly modifies the scattering processes in chiral systems which can be computed using the Maxwell-Chern-Simons theory that couples electrodynamics to the pseudoscalar field $\theta$ describing the topological charge induced be…

High Energy Physics - Phenomenology · Physics 2020-08-12 Kirill Tuchin

A model for anomalous transport of tracer particles diffusing in complex media in two dimensions is proposed. The model takes into account the characteristics of persistent motion that active bath transfer to the tracer, thus the model…

Statistical Mechanics · Physics 2025-07-24 Francisco J. Sevilla , Adriano Valdés-Gómez , Alexis Torres-Carbajal

Introducing a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore particles with internal degrees of freedom (called charge), we exhibit a novel type of dynamical…

Statistical Mechanics · Physics 2024-03-11 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Tomaž Prosen , Enej Ilievski

The chemistry of molecular clouds has been studied for decades, with an increasingly general and sophisticated treatment of the reactions involved. Yet the treatment of turbulent diffusion has remained extremely sketchy, assuming simple…

Astrophysics · Physics 2009-06-23 G. Marschalko , K. Petrovay , E. Forgacs-Dajka
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