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We study the effects of perturbing the boundary of a rectangle on the nodal sets of eigenfunctions of the Laplacian. Namely, for a rectangle of a given aspect ratio $N$, we identify the first Dirichlet mode to feature a crossing in its…

Analysis of PDEs · Mathematics 2022-04-27 Thomas Beck , Marichi Gupta , Jeremy L. Marzuola

New insights into transport properties of nanostructures with a linear dispersion along one direction and a quadratic dispersion along another are obtained by analysing their spectral stability properties under small perturbations.…

Mathematical Physics · Physics 2022-08-22 David Krejcirik , Pedro. R. S. Antunes

Quantum spin fluctuations provide a unique way to study spin dynamics without system perturbation. Here we put forward an optical resonance shift spin noise spectroscopy as a powerful tool to measure the spin noise of various systems from…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 D. S. Smirnov , K. V. Kavokin

We investigate parametric resonance in oscillator networks subjected to periodically time-varying oscillations in the edge strengths. Such models are inspired by the well-known parametric resonance phenomena for single oscillators, as well…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Karthik Chikmagalur , Bassam Bamieh

By means of numerical simulations we study the radial-orbit instability in anisotropic self-gravitating $N-$body systems under the effect of noise. We find that the presence of additive or multiplicative noise has a different effect on the…

Astrophysics of Galaxies · Physics 2022-06-08 Pierfrancesco Di Cintio , Lapo Casetti

We show that the natural resonant frequency of a suspended flexible string is significantly modified (by one order of magnitude) by adding a freely pivoting attached mass at its lower end. This articulated system then exhibits complex…

Pattern Formation and Solitons · Physics 2024-04-26 Filip Novkoski , Jules Fillette , Chi-Tuong Pham , Eric Falcon

We study the transport and spectral properties of a non-Hermitian one-dimensional disordered lattice, the diagonal matrix elements of which are random complex variables taking both positive (loss) and negative (gain) imaginary values: Their…

Disordered Systems and Neural Networks · Physics 2021-03-16 A. F. Tzortzakakis , K. G. Makris , A. Szameit , E. N. Economou

Noncommutativity in an open string moving in a background Neveu-Schwarz field is investigated in a gauge independent Hamiltonian approach, leading to new results. The noncommutativity is shown to be a direct consequence of the non-trivial…

High Energy Physics - Theory · Physics 2009-11-07 Rabin Banerjee , Biswajit Chakraborty , Subir Ghosh

In this paper we consider embedded eigenvalues of a Schroedinger Hamiltonian in a waveguide induced by a symmetric perturbation. It is shown that these eigenvalues become unstable and turn into resonances after twisting of the waveguide.…

Mathematical Physics · Physics 2009-11-13 H. Kovarik , A. Sacchetti

Resonance states in quantum chaotic scattering systems have a multifractal structure that depends on their decay rate. We show how classical dynamics describes this structure for all decay rates in the semiclassical limit. This result for…

Chaotic Dynamics · Physics 2025-01-20 Roland Ketzmerick , Florian Lorenz , Jan Robert Schmidt

The threshold of triply resonant optical parametric oscillation in a semiconductor microcavity in the strong coupling regime is investigated. Because of the third-order nature of the excitonic nonlinearity, a variety of different behaviours…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. Wouters , I. Carusotto

Experiments have shown that micron-sized distributed surface roughness can significantly promote transition in a three-dimensional boundary layer dominated by crossflow insta- bility. This sensitive effect has not yet been fully explained…

Fluid Dynamics · Physics 2018-12-05 Jiyang He , Adam Butler , Xuesong Wu

This paper investigates the effects of geometric nonlinearity and structural flexibility on the flight dynamics of high-aspect-ratio wings representative of high-altitude long endurance aircraft configurations. A coupled aeroelastic flight…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Nikolaos D. Tantaroudas , Ilias Karachalios

We demonstrate the emergence of an entire flat band embedded in dispersive bands at the exceptional point of a PT symmetric photonic lattice. For this to occur, the gain and loss parameter effectively alters the size of the partial flat…

Optics · Physics 2017-07-12 Hamidreza Ramezani

We investigate theoretically and experimentally fluctuations of high spin (F>1/2) beyond the linear response regime and demonstrate dramatic modifications of the spin noise spectra in the high power density probe field. Several effects…

Atomic Physics · Physics 2021-02-24 A. A. Fomin , M. Yu. Petrov , I. I. Ryzhov , G. G. Kozlov , V. S. Zapasskii , M. M. Glazov

The characteristics of an acoustic scatterer are often described by scattering coefficients. The understanding of the mechanisms involved in the frequency dependent features of the coefficients has been a challenge task, owing to the…

Classical Physics · Physics 2016-11-08 Yuhui Tong , Jie Pan

We demonstrate the existence of stochastic resonance (SR) in confined systems arising from entropy variations associated to the presence of irregular boundaries. When the motion of a Brownian particle is constrained to a region with uneven…

Statistical Mechanics · Physics 2009-06-05 P. S. Burada , G. Schmid , D. Reguera , J. M. Rubi , P. Hänggi

The dynamics of two active nonlinear resonators coupled to a linear resonator is studied theoretically. Possible stationary states and its dynamical stability are considered in detail. The spontaneous symmetry breaking is found and it is…

Optics · Physics 2022-04-06 D. Dolinina , A. Yulin

Vibration peaks occurring at rational fractions of the fundamental rotating critical speed, here named Local Resonances, facilitate cracked shaft detection during machine shut-down. A modified Jeffcott-rotor on journal bearings accounting…

General Physics · Physics 2012-09-28 Julio Gomez-Mancilla , Jean-Jacques Sinou , V. R. Nosov , Fabrice Thouverez , A. Zambrano

Tetrachiral materials are characterized by a cellular microstructure made by a periodic pattern of stiff rings and flexible ligaments. Their mechanical behaviour can be described by a planar lattice of rigid massive bodies and elastic…

Materials Science · Physics 2018-03-05 Marco Lepidi , Andrea Bacigalupo