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In this work, a two-dimensional time-fractional subdiffusion model is developed to investigate the underlying transport phenomena evolving in a binary medium comprised of two sub-domains occupied by homogeneous material. We utilise an…

Numerical Analysis · Mathematics 2021-02-05 Libo Feng , Ian Turner , Patrick Perre , Kevin Burrage

We experimentally, numerically and analytically explore the diffusive transport of active colloidal particles with sensory delay, navigating motility landscapes in which the self-propulsion speed depends on space. We show how the transport…

Statistical Mechanics · Physics 2026-04-29 Adrià Garcés , Ueli Töpfer , Lucio Isa , Demian Levis , Ignacio Pagonabarraga

We developed analytical and numerical methods to study a transport of non-interacting particles in large networks consisting of M d-dimensional containers C_1,...,C_M with radii R_i linked together by tubes of length l_{ij} and radii a_{ij}…

Statistical Mechanics · Physics 2009-11-11 L. Lizana , Z. Konkoli

We analyse the optical (or microwave) tunnelling properties of electromagnetic waves passing through thin films presenting a specific index profile providing a cut-off frequency, when they are used below this frequency. We show that…

Optics · Physics 2009-11-11 Alexander Shvartsburg , Guillaume Petite

A light beam normally incident upon an uniformly moving dielectric medium is in general subject to bendings due to a transverse Fresnel-Fizeau light drag effect. In conventional dielectrics, the magnitude of this bending effect is very…

Condensed Matter · Physics 2009-11-10 Iacopo Carusotto , Maurizio Artoni , Giuseppe La Rocca , Franco Bassani

Our everyday experience teaches us that the structure of a medium strongly influences how light propagates through it. A disordered medium, e.g., appears transparent or opaque, depending on whether its structure features a mean free path…

We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolution proceeds via diffusive motion of the orientational…

Mathematical Physics · Physics 2014-03-04 Ibrahim Fatkullin , Valeriy Slastikov

L\'evy flights constitute a broad class of random walks that occur in many fields of research, from animal foraging in biology, to economy to geophysics. The recent advent of L\'evy glasses allows to study L\'evy flights in controlled way…

A fundamental insight in the theory of diffusive random walks is that the mean length of trajectories traversing a finite open system is independent of the details of the diffusion process. Instead, the mean trajectory length depends only…

In the frames of the DLVO theory the root mean square amplitude and correlation length of capillary waves in thin liquid films are calculated. Their dependencies on some important physical parameters are studied. Two models are considered:…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 N. G. Ivanova , R. Tsekov

We analyze coherent wave transport in a new physical setting associated with multimode wave systems where reflection is completely suppressed and mode-dependent losses together with mode-mixing are dictating the wave propagation. An…

Optics · Physics 2019-10-24 P. Chiarawongse , H. Li , W. Xiong , C. W. Hsu , H. Cao , T. Kottos

Inspired by non-Hermitian systems, we study reflection and transmission in a stack of thin films composed by the repetition of a bipartite unit cell. We aim for controlled reflection and transmission using lossless and lossy materials in…

Optics · Physics 2021-01-25 A. Padrón-Godínez , C. G. Treviño-Palacios

Anomalous transport processes in which the variance of the distance travelled does not necessarily increase linearly with time are modelled using the formalism of continuous time random walks. We compute particle propagators which have the…

Astrophysics · Physics 2011-05-23 B. R. Ragot , J. G. Kirk

The research complements and extends the scope of the work reported in the article "LED-based multibeam photoacoustics combined with electrical circuit-based modeling for the analysis of multispecies mass transport through thin membranes"…

Applied Physics · Physics 2026-04-08 Pawel Rochowski

We study in this paper the localization of light and the dielectric properties of thin metal-dielectric composites at the percolation threshold and around a resonant frequency where the conductivities of the two components are of the same…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. Zekri , R. Bouamrane , N. Zekri , F. Brouers

We consider a colony of point-like self-propelled surfactant particles (swimmers) without direct interactions that cover a thin liquid layer on a solid support. Although the particles predominantly swim normal to the free film surface,…

Soft Condensed Matter · Physics 2018-07-24 Andrey Pototsky , Uwe Thiele , Holger Stark

The time-of-flight method is a fundamental approach for characterizing the transport properties of semiconductors. Recently, the transient photocurrent and optical absorption kinetics have been simultaneously measured for thin films;…

Chemical Physics · Physics 2023-03-21 Kazuhiko Seki , Naoya Muramatsu , Tomoaki Miura , Tadaaki Ikoma

We study the properties of bright and vortex solitons in thermal media with nonuniform thermal conductivity and homogeneous refractive index, whereby the local modulation of the thermal conductivity strongly affects the entire refractive…

Optics · Physics 2016-04-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

The theory of optical dispersive shocks generated in propagation of light beams through photorefractive media is developed. Full one-dimensional analytical theory based on the Whitham modulation approach is given for the simplest case of…

Pattern Formation and Solitons · Physics 2008-02-09 G. A. El , A. Gammal , E. G. Khamis , R. A. Kraenkel , A. M. Kamchatnov

We calculate expressions for the state-dependent quasiparticle lifetime, the thermal conductivity $\kappa$, the shear viscosity $\eta$, and discuss the spin diffusion coefficient $D$ for Fermi-liquid films in two dimensions. The expressions…

Other Condensed Matter · Physics 2015-11-04 David Z. Li , R. H. Anderson , M. D. Miller