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Sparse non-Hermitian random matrices arise in the study of disordered physical systems with asymmetric local interactions, and have applications ranging from neural networks to ecosystem dynamics. The spectral characteristics of these…

统计力学 · 物理学 2024-02-21 Fernando Lucas Metz , Izaak Neri , Tim Rogers

We present measurements of the near-field heat transfer between the tip of a thermal profiler and planar material surfaces under ultrahigh vacuum conditions. For tip-sample distances below 10-8 m our results differ markedly from the…

介观与纳米尺度物理 · 物理学 2015-05-27 Achim Kittel , Wolfgang Müller-Hirsch , Jürgen Parisi , Svend-Age Biehs , Daniel Reddig , Martin Holthaus

The eigenvalues of the transmission matrix provide the basis for a full description of the statistics of steady-state transmission and conductance. At the same time, the ability to excite the sample with the waveform of specific…

无序系统与神经网络 · 物理学 2015-11-25 Zhou Shi , Azriel Z. Genack

We develop a theoretical approach to compute the conditioned spectral density of $N \times N$ non-invariant random matrices in the limit $N \rightarrow \infty$. This large deviation observable, defined as the eigenvalue distribution…

无序系统与神经网络 · 物理学 2018-08-15 Isaac Pérez Castillo , Fernando L. Metz

Coherent thermal transport in nanopatterned structures is a topic of considerable interest, but whether it occurs in certain structures remains unclear due to poor understanding of which phonons conduct heat. Here, we perform the first…

材料科学 · 物理学 2020-06-26 Navaneetha K. Ravichandran , Austin J. Minnich

Transmission eigenchannels are building blocks of coherent wave transport in diffusive media, and selective excitation of individual eigenchannels can lead to diverse transport behavior. An essential yet poorly understood property is the…

光学 · 物理学 2019-08-06 Hasan Yılmaz , Chia Wei Hsu , Alexey Yamilov , Hui Cao

The relative distance between eigenvalues of the compression of a not necessarily semibounded self-adjoint operator to a closed subspace and some of the eigenvalues of the original operator in a gap of the essential spectrum is considered.…

谱理论 · 数学 2024-07-23 Albrecht Seelmann

In this paper, we consider the inverse scattering problem associated with an inhomogeneous media with a conductive boundary. First, we discuss the inverse conductivity problem of reconstructing the conductivity parameter from scattering…

偏微分方程分析 · 数学 2017-12-12 Isaac Harris , Andreas Kleefeld

We show in microwave experiments and random matrix calculations that in samples with a large number of channels the statistics of transmission for different incident channels relative to the average transmission is determined by a single…

光学 · 物理学 2015-06-15 Matthieu Davy , Zhou Shi , Jing Wang , Azriel Z. Genack

Arguments based on general principles of quantum mechanics suggest that a minimum length or time associated with Planck-scale unification may entail a new kind of observable uncertainty in the transverse position of macroscopically…

广义相对论与量子宇宙学 · 物理学 2010-01-09 Craig J. Hogan

We develop a simple thermodynamic model to describe the heat transfer mechanisms and generation of acoustic waves in photoacoustic Raman spectroscopy by small particulate suspensions in a gas. Using Langevin methods to describe the thermal…

量子物理 · 物理学 2009-11-10 Kunal K. Das , Yuri V. Rostovtsev , Kevin Lehmann , Marlan O. Scully

Spread spectrum, widely employed in modern digital wireless terrestrial radio systems, chooses a signal with a noise-like character and much higher bandwidth than necessary. This paper advocates spread spectrum modulation for interstellar…

天体物理仪器与方法 · 物理学 2013-07-30 David G. Messerschmitt

We report both experimentally and theoretically that the enhanced acoustic transmission can occur in the subwavelength region through a thin but stiff structured-plate without any opening. This exotic acoustic phenomenon is essentially…

经典物理 · 物理学 2011-04-22 Zhaojian He , Han Jia , Chunyin Qiu , Shasha Peng , Xuefei Mei , Feiyan Cai , Pai Peng , Manzhu Ke , Zhengyou Liu

The inference of the absorption configuration of an existing room solely using acoustic signals can be challenging. This research presents two methods for estimating the room dimensions and frequency-dependent absorption coefficients using…

声音 · 计算机科学 2023-04-26 Yuanxin Xia , Cheol-Ho Jeong

In this paper, we establish the discreteness of transmission eigenvalues for Maxwell's equations. More precisely, we show that the spectrum of the transmission eigenvalue problem is discrete, if the electromagnetic parameters $\eps, \, \mu,…

偏微分方程分析 · 数学 2020-05-01 Fioralba Cakoni , Hoai-Minh Nguyen

Infrared interferometers are optical devices that can measure optical path-length differences by measuring changes in the refractive index. Several arrangements can be deployed, from single channel devices to multichannel double color…

信号处理 · 电气工程与系统科学 2024-02-16 Luis Esteban , Alberto Regadío , Ulises Losada

One of the simplest models for the slow relaxation and aging of glasses is the trap model by Bouchaud and others, which represents a system as a point in configuration-space hopping between local energy minima. The time evolution depends on…

无序系统与神经网络 · 物理学 2018-08-01 Riccardo Giuseppe Margiotta , Reimer Kühn , Peter Sollich

Several integral identities related to acoustic scattering are presented. In each case the identity involves the integral over frequency of a physical quantity. For instance, the integrated transmission loss, a measure of the transmitted…

经典物理 · 物理学 2018-10-15 Andrew N. Norris

The heat equation is considered in the complex medium consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies an impedance boundary condition is imposed. An equation for the limiting…

数学物理 · 物理学 2016-01-12 A. G. Ramm

An acoustic cloak envelopes an object so that sound incident from all directions passes through and around the cloak as though the object were not present. A theory of acoustic cloaking is developed using the transformation or…

材料科学 · 物理学 2008-07-13 Andrew N. Norris