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An effective mass based model accounting for the conduction band quantization in a high aspect ratio semiconductor nanotip is developed to describe injected electron transport and subsequent electron emission from the nanotip. A transfer…

Mesoscale and Nanoscale Physics · Physics 2019-06-06 Andrei Piryatinski , Chengkun Huang , Thomas J. T. Kwan

In the framework of macroscopic continuous medium approach, we studied the interaction between a fast-moving charged particle and dielectric or semiconducting media with low energy electrically active excitations. The excitations contribute…

Materials Science · Physics 2021-08-27 Mykola Yelisieiev

Over the past two decades scientists have achieved a significant improvement of our understanding of the transport of energetic particles across a mean magnetic field. Due to test-particle simulations as well as powerful non-linear…

Plasma Physics · Physics 2022-01-05 Andreas Shalchi

The Mie scattering theory enables the exact determination of the scattered field as a function of the incident field. Here, we use this approach to calculate the Hermitian relationship between the incident field and the optical forces…

Optics · Physics 2017-05-01 Michael Mazilu

We study Maxwell's equations in random media with small fluctuations of the electric permittivity. We consider a setup where the waves propagate toward a preferred direction, called range. We decompose the electromagnetic wave field in…

Analysis of PDEs · Mathematics 2016-01-05 Liliana Borcea , Josselin Garnier

We present a microscopic theory for multiple light scattering occurring in inhomogeneous 3D media subject to an external magnetic field. Magneto-optical effects (the Faraday effect and the Cotton-Mouton effect) occur inside the small…

Condensed Matter · Physics 2007-05-23 Bart A. van Tiggelen , Roger Maynard , Theo M. Nieuwenhuizen

We derive from first principles a one-way radiative transfer equation for the wave intensity resolved over directions (Wigner transform of the wave field) in random media. It is an initial value problem with excitation from a source which…

Analysis of PDEs · Mathematics 2016-02-17 Liliana Borcea , Josselin Garnier

We propose the two-band s-d model to describe theoretically a diffuse regime of the spin-dependent electron transport in magnetic tunnel junctions (MTJ's) of the form F/O/F where F's are 3d transition metal ferromagnetic layers and O is the…

Materials Science · Physics 2009-11-07 D. Bagrets , A. Bagrets , A. Vedyayev , B. Dieny

We report on significant enhancement of the magnetooptical effects in gyrotropic systems of a metallic film perforated by subwavelength hole arrays and a uniform dielectric film magnetized perpendicular to its plane. Calculations, based on…

Materials Science · Physics 2015-06-25 V. I. Belotelov , L. L. Doskolovich , A. K. Zvezdin

In a recent article, Schild et al. present what they call an alternative approach to the determination of mean free paths of electron scattering in liquid water. This by no means new approach is based on a very simplistic two channel model…

Chemical Physics · Physics 2020-01-20 Ruth Signorell

In this paper we present a mathematical model for the electrochemical deposition aimed at the production of inverse opals. The real system consists of an arrangement of sub micrometer spheres, through which the species in an electrolytic…

Chemical Physics · Physics 2013-06-25 P. C. T. D'Ajello , L. Lauck , G. L. Nunes

Transient grating (TG) spectroscopy is an important experimental technique to measure mean free path (MFP) spectra using observations of quasiballistic heat conduction. To obtain MFP spectra, the measurements must be interpreted within the…

Mesoscale and Nanoscale Physics · Physics 2014-02-07 Chengyun Hua , Austin J. Minnich

Phonon heat transport in mesoscopic systems is investigated using methods analogous to the Landauer description of electrical conductance. A "universal heat conductance" expression that depends on the properties of the conducting pathway…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. E. Angelescu , M. C. Cross , M. L. Roukes

The mean first passage time, one of the important characteristics for a stochastic process, is often calculated assuming the observation time is infinite. However, in practice, the observation time, T, is always finite and the mean first…

Statistical Mechanics · Physics 2020-04-22 Ji-Hyun Kim , Hunki Lee , Sanggeun Song , Hye Ran Koh , Jaeyoung Sung

Electron transport through a one-dimensional ring connected with two external leads, in the presence of spin-orbit interaction (SOI) of strength \alpha and a perpendicular magnetic field is studied. Applying Griffith's boundary conditions…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Molnar , F. M. Peeters , P. Vasilopoulos

It has recently been argued that the geometric-optics mean path length of rays inside a refractive object under Lambertian illumination is independent of the scattering strength of the medium [Savo et al., Science 358, 765 (2017)]. We here…

Optics · Physics 2021-07-13 Matt Majic , Walter R. C. Somerville , Eric C. Le Ru

We derive an expression for the mean square displacement of a particle whose motion is governed by a uniform, periodic, quantum multi-baker map. The expression is a function of both time, $t$, and Planck's constant, $\hbar$, and allows a…

Chaotic Dynamics · Physics 2007-05-23 Daniel K. Wojcik , J. Robert Dorfman

Quasi-elastic light scattering spectroscopy of dilute solutions of diffusing mesoscopic probe particles is regularly used to examine the dynamics of the fluid through which the probe particles are moving. For probes in a simple liquid, the…

Soft Condensed Matter · Physics 2009-11-11 George D. J. Phillies

In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of recovering the optical properties of this…

Analysis of PDEs · Mathematics 2019-10-14 Francis J. Chung , Jeremy G. Hoskins , John C. Schotland

We study surface diffusion in the framework of a generalized Frenkel-Kontorova model with a nonconvex transverse degree of freedom. The model describes a lattice of atoms with a given concentration interacting by Morse-type forces, the…

patt-sol · Physics 2019-08-17 Oleg M. Braun , Thierry Dauxois , Michel Peyrard