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A non-Hermitian interferometer can realize asymmetric transmission in the presence of imaginary potential and magnetic flux. Here, we propose a non-Hermitian dimer with an unequal hopping rate by an interferometer-like cluster in the…

Quantum Physics · Physics 2017-03-01 C. Li , L. Jin , Z. Song

In this paper, we study the transmission eigenvalue problem for an anisotropic material with a conductive boundary. We prove that the transmission eigenvalues for this problem exist and are at most a discrete set. We also study the…

Analysis of PDEs · Mathematics 2023-11-02 Victor Hughes , Isaac Harris , Jiguang Sun

In this paper, we investigate the sampling analysis associated with discontinuous Sturm-Liouville problem which has transmission conditions at two points of discontinuity also contains an eigenparameter in a boundary condition and two…

Classical Analysis and ODEs · Mathematics 2015-02-27 Fatma Hira , Nihat Altinisik

Much effort has been spent on characterizing the spectrum of the non-backtracking matrix of certain classes of graphs, with special emphasis on the leading eigenvalue or the second eigenvector. Much less attention has been paid to the…

Combinatorics · Mathematics 2020-07-29 Leo Torres

We evaluate the sensing properties of plasmonic waveguide sensors by calculating their resonant transmission spectra in different regions of the non-Hermitian eigenmode space. We elucidate the pitfalls of using modal dispersion calculations…

Optics · Physics 2022-03-11 Alessandro Tuniz , Markus A. Schmidt , Boris T. Kuhlmey

The problem of thermalization of radiation within a self-emitting hydrogen isothermal atmosphere is considered for the case of a hydrostatic profile of the plasma density. The probabilistic approach to define the thermalization depth for…

High Energy Astrophysical Phenomena · Physics 2022-08-17 M. I. Gornostaev

We study the spectral properties of the transfer matrix for a gonihedric random surface model on a three-dimensional lattice. The transfer matrix is indexed by generalized loops in a natural fashion and is invariant under a group of motions…

High Energy Physics - Theory · Physics 2009-10-31 Thordur Jonsson , George K. Savvidy

We report on the use of an optically-trapped microsphere as an acoustic transducer. A model for the hydrodynamic coupling between the microsphere and the surrounding acoustic fluid flow is combined with thermo-mechanical calibration of the…

Applied Physics · Physics 2023-10-03 Logan E. Hillberry , Mark G. Raizen

Increasing the imaging speed is a central aim in photoacoustic tomography. This issue is especially important in the case of sequential scanning approaches as applied for most existing optical detection schemes. In this work we address this…

Numerical Analysis · Mathematics 2016-11-23 Markus Haltmeier , Thomas Berer , Sunghwan Moon , Peter Burgholzer

We investigate the dynamics of a macroscopic system which consists of an anharmonic subsystem embedded in an arbitrary harmonic lattice, including quenched disorder. Elimination of the harmonic degrees of freedom leads to a nonlinear…

Other Condensed Matter · Physics 2015-05-13 S. Aubry , R. Schilling

Based on a simple model, we theoretically show that asymmetric transportation is possible in nanoscale systems experiencing thermal noise without the presence of external fluctuations. The key to this theoretical advance is that the…

Statistical Mechanics · Physics 2013-07-30 Rongzheng Wan , Jun Hu , Haiping Fang

We propose, for the first time, a two-dimensional model for the nonlinear coupling of internal gravity and thermal waves in the presence of temperature-dependent density inhomogeneity due to thermal expansion and thermal feedback in…

Atmospheric and Oceanic Physics · Physics 2025-11-04 S. Das Adhikary , A. P. Misra

Room-temperature and low-temperature (77 K) scanning tunneling spectroscopy (STS) and voltage-dependent scanning tunneling microscopy (STM) data are used to study the local electronic properties of the quasi-one-dimensional Si(557)-Au…

Mesoscale and Nanoscale Physics · Physics 2014-02-19 M. Sauter , R. Hoffmann , C. Surgers , H. v. Lohneysen

We describe the asymptotic distribution of the eigenvalues of interior transmission problem in absorbing medium. We apply the Cartwright's theory and the technique from asymptotic periodic entire function theory. We find a Weyl's type of…

Functional Analysis · Mathematics 2013-07-02 Lung-Hui Chen

A stabilized version of the fundamental solution method to catch ill-conditioning effects is investigated with focus on the computation of complex-valued elastic interior transmission eigenvalues in two dimensions for homogeneous and…

Numerical Analysis · Mathematics 2019-09-06 Andreas Kleefeld , Lukas Pieronek

This paper studies the problem of secure communication over the broadcast channel with receiver side information under the lens of individual secrecy constraints. That is, the transmitter wants to send two independent messages to two…

Information Theory · Computer Science 2015-02-26 Yanling Chen , O. Ozan Koyluoglu , Aydin Sezgin

We obtain large regions free of eigenvalues of the interior transmission problem.

Analysis of PDEs · Mathematics 2015-06-18 Georgi Vodev

We extend classical time-frequency limiting analysis, historically applied to one-dimensional finite signals, to the multidimensional discrete setting. This extension is relevant for images, videos, and other multidimensional signals, as it…

Classical Analysis and ODEs · Mathematics 2025-07-15 Luis Gomez , Jonathan Jaimangal , Azita Mayeli , Tasfia Proma

Understanding the rich spatial and temporal structures in nonequilibrium thermal environments is a major subject of statistical mechanics. Because universal laws, based on an ensemble of systems, are mute on an individual system, exploring…

Statistical Mechanics · Physics 2019-04-19 Liyi Zhao , Ping Fang , Chushun Tian

Heat transfer and dissipation exists in almost any physical, chemical or biological systems. Cells, as the basic unit of life, undergo continuous heat transfer and dissipation during their metabolism. The heat transfer and dissipation…

Biological Physics · Physics 2019-01-03 Pei Song , He Gao , Miao Zhang , Fan Yang , Shan-Shan Li , Bin Kang , Jing-Juan Xu , Hong-Yuan Chen