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We study the effects of scattering lengths on L\'evy walks in quenched one-dimensional random and fractal quasi-lattices, with scatterers spaced according to a long-tailed distribution. By analyzing the scaling properties of the random-walk…

Statistical Mechanics · Physics 2015-03-20 R. Burioni , S. di Santo , S. Lepri , A. Vezzani

We study numerically the kinetic roughening properties of the precursor fronts of nonvolatile liquid droplets spreading on solid substrates, for the case of circular droplets, more frequently addressed in experiments. To this end, we…

Statistical Mechanics · Physics 2025-04-24 J. M. Marcos , J. J. Melendez , R. Cuerno , J. J. Ruiz-Lorenzo

A method is given for finding small inhomogeneities from surface scattering data. The method consists in localization of the positions and finding the intensities of these small inhomogeneities. The case of acoustic wave scattering is…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

Elastic interfaces in quenched random media driven by external forces exhibit a continuous depinning phase transition between pinned and moving phases at a critical external force. Recent work [Phys. Rev. Lett. 129, 175701 (2022)] has shown…

Statistical Mechanics · Physics 2026-02-03 Tuuli Sillanpää , Sanni Nousiainen , Lasse Laurson

The approximate nature of radiative transfer equation (RTE) leads to a bunch of considerations on the effect of "dependent scattering" in random media, especially particulate media composed of discrete scatterers, in the last a few decades,…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 B. X. Wang , C. Y. Zhao

The diffraction patterns of crystalline materials with strongly-correlated disorder are characterised by the presence of structured diffuse scattering. Conventional analysis approaches generally seek to interpret this scattering either…

Disordered Systems and Neural Networks · Physics 2021-07-29 Ella M. Schmidt , Johnathan M. Bulled , Andrew L. Goodwin

While very often a hot intergalactic medium (IGM) is optically thin to continuum radiation, the optical depth in resonant lines can be of order unity or larger. Resonant scattering in the brightest X-ray emission lines can cause distortions…

High Energy Astrophysical Phenomena · Physics 2015-05-19 E. Churazov , I. Zhuravleva , S. Sazonov , R. Sunyaev

This is the second paper in a series on light scattering from optically anisotropic scatterers embedded in an isotropic medium. The apparently complex T-matrix theory involving mixing of angular momentum components turns out to be an…

Optics · Physics 2007-05-23 A. D. Kiselev , V. Yu. Reshetnyak , T. J. Sluckin

This is the second part in a series of two papers that concern with the quantitative analysis of the electromagnetic field enhancement and anomalous diffraction by a periodic array of subwavelength slits. In this part, we explore the…

Analysis of PDEs · Mathematics 2017-06-08 Junshan Lin , Hai Zhang

We derive a stochastic nonlinear equation to describe the evolution and scaling properties of surfaces eroded by ion bombardment. The coefficients appearing in the equation can be calculated explicitly in terms of the physical parameters…

Condensed Matter · Physics 2009-10-22 Rodolfo Cuerno , Albert-Laszlo Barabasi

Colliding high energy hadrons either produce new particles or scatter elastically with their quantum numbers conserved and no other particles produced. We consider the latter case here. Although inelastic processes dominate at high…

High Energy Physics - Phenomenology · Physics 2015-06-05 I. M. Dremin

A random surface scattering in a one-mode waveguide is studied in the case when the surface profile has long-range correlations along the waveguide. Analytical treatment of this problem shows that with a proper choice of the surface, one…

Condensed Matter · Physics 2009-11-07 F. M. Izrailev , N. M. Makarov

Elastic light scattering by low-dimensional semiconductor objects is investigated theoretically. The differential cross section of resonant light scattering on excitons in quantum dots is calculated. The polarization and angular…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. G. Lang , L. I. Korovin , S. T. Pavlov

Previous models have shown that stochastic scattering of stars in a two-dimensional galaxy disc can generate a time-independent surface density distribution that is an exponential divided by radius when a constant inward scattering bias is…

Astrophysics of Galaxies · Physics 2023-05-10 Jian Wu , Curtis Struck , Bruce G. Elmegreen , Elena D'Onghia

Transport properties of narrow two-dimensional conducting wires in which the electron scattering is caused by side edges' roughness have been studied. The method for calculating dynamic characteristics of such conductors is proposed which…

Mesoscale and Nanoscale Physics · Physics 2013-02-01 N. M. Makarov , Yu. V. Tarasov

We grew SrTiO3 on SrTiO3 [001] by pulsed laser deposition, while observing x-ray diffraction at the (0 0 .5) position. The drop dI in the x-ray intensity following a laser pulse contains information about plume-surface interactions.…

Materials Science · Physics 2007-05-23 Aaron Fleet , Darren Dale , Y. Suzuki , J. D. Brock

This article considers the computational (acoustic) wave propagation in strongly heterogeneous structures beyond the assumption of periodicity. A high contrast between the constituents of microstructured multiphase materials can lead to…

Numerical Analysis · Mathematics 2020-01-29 Daniel Peterseim , Barbara Verfürth

The simple 3-D radiative transfer model in the atmosphere of the Earth is built for numerical comparison of direct solar radiation and limb scattering background at the definite layer during the deep twilight period at the middle and upper…

Atmospheric and Oceanic Physics · Physics 2025-09-05 Oleg S. Ugolnikov

We study theoretically the scattering imprint of a number of branched supramacromolecular architectures, namely, polydisperse stars and dendrimeric, hyperbranched structures. We show that polydispersity and nature of branching highly…

Soft Condensed Matter · Physics 2009-11-07 Carlos I. Mendoza , Carlos M. Marques

Direct imaging has paved the way for atmospheric characterization of young and self-luminous gas giants. Scattering in a horizontally-inhomogeneous atmosphere causes the disk-integrated polarization of the thermal radiation to be linearly…

Earth and Planetary Astrophysics · Physics 2018-11-09 Tomas Stolker , Michiel Min , Daphne M. Stam , Paul Mollière , Carsten Dominik , Rens Waters