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Resonance states of the 3-disk scattering system are presented for the first Casati wave number $k \approx 912$ and the second Casati wave number $k \approx 91242$. They show multifractal structure in phase space, similar to the pioneering…

Chaotic Dynamics · Physics 2022-12-12 Roland Ketzmerick , Jan Robert Schmidt

We use scanning near-field optical microscopy to image hyperbolic phonon polaritons in hexagonal boron nitride (hBN) billiards with integrable and chaotic geometries. In Sinai billiards, we observe irregular mode patterns consistent with…

We study the robustness, against the leakage of bosons, of wave functions of interacting many bosons confined in a finite box, by deriving and analyzing a general equation of motion for the reduced density operator. We identify a robust…

Quantum Physics · Physics 2009-11-06 Akira Shimizu , Takayuki Miyadera

We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of resonance widths is a sensitive indicator of the non-orthogonality of resonance…

Mesoscale and Nanoscale Physics · Physics 2012-05-04 Y. V. Fyodorov , D. V. Savin

We extended a previous qualitative study of the intermittent behaviour of a chaotical nucleonic system, by adding a few quantitative analyses: of the configuration and kinetic energy spaces, power spectra, Shannon entropies, and Lyapunov…

Nuclear Theory · Physics 2009-12-22 D. Felea , C. C. Bordeianu , I. V. Grossu , C. Besliu , Al. Jipa , A. A. Radu , E. Stan

We use a coarse-grained molecular dynamics model to study the electrophoretic behaviour of flexible polyelectrolyte chains. We first characterize the static properties of the model with respect to the chain length, the polyelectrolyte…

Soft Condensed Matter · Physics 2008-12-16 Kai Grass , Christian Holm

Complex systems, such as the power grid, are essential for our daily lives. Many complex systems display (multi-)fractal behavior, correlated fluctuations and power laws. Whether the power-grid frequency, an indicator about the balance on…

Density waves are characteristic for fluidized beds and affect measurements on liquid-like dynamics in fluidized granular media. Here, the intensity autocorrelation function as obtainable with diffusing-wave spectroscopy is derived in the…

Soft Condensed Matter · Physics 2016-09-12 Philip Born , Steffen Reinhold , Matthias Sperl

We study the interplay between rotation and openness for mode coupling in wavelength-scale microcavities. In cavities deformed from a circular disk, the decay rates of a quasi-degenerate pair of resonances may cross or anti-cross with…

Optics · Physics 2015-06-19 Li Ge , Raktim Sarma , Hui Cao

Billiard models of single particles moving freely in two-dimensional regions enclosed by hard walls, have long provided ideal toy models for the investigation of dynamical systems and chaos. Recently, billiards with (semi-)permeable walls…

Chaotic Dynamics · Physics 2025-05-19 Katherine Holmes , Joseph Hall , Eva-Maria Graefe

Motion in a one-dimensional (1D) microfluidic array is simulated. Water droplets, dragged by flowing oil, are arranged in a single row, and due to their hydrodynamic interactions spacing between these droplets oscillates with a wave-like…

Fluid Dynamics · Physics 2015-06-05 Bin Liu , J. Goree , Yan Feng

Quantum cavities or dots have markedly different properties depending on whether their classical counterparts are chaotic or not. Connecting a superconductor to such a cavity leads to notable proximity effects, particularly the appearance,…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Jack Kuipers , Thomas Engl , Gregory Berkolaiko , Cyril Petitjean , Daniel Waltner , Klaus Richter

Some numerical calculations are presented on the dependence of the average mode count and average mode density of electromagnetic cavities on their specific geometric design, based on the generalized Weyl law. The analysis focuses on a…

Classical Physics · Physics 2014-12-16 L. R. Arnaut

Evidence for capillary waves at a liquid/vapor interface are presented from extensive molecular dynamics simulations of a system containing up to 1.24 million Lennard-Jones particles. Careful measurements show that the total interfacial…

Statistical Mechanics · Physics 2009-10-31 Scott W. Sides , Gary S. Grest , Martin-D. Lacasse

This article reports on a joint theoretical and experimental study of the Pauli quantum-mechanical stress tensor $T_{\alpha \beta}(x,y)$ for open two-dimensional chaotic billiards. In the case of a finite current flow through the system the…

Mesoscale and Nanoscale Physics · Physics 2008-08-12 K. -F. Berggren , D. N. Maksimov , A. F. Sadreev , R. Hoehmann , U. Kuhl , H. -J. Stoeckmann

In this paper, a general methodology to study rigorously discontinuities in open waveguides is presented. It relies on a full vector description given by Maxwell's equations in the framework of the finite element method. The discontinuities…

Computational Physics · Physics 2020-06-24 Guillaume Demésy , Gilles Renversez

We report optical measurements of the spectral width of open transmission channels in a three-dimensional diffusive medium. The light transmission through a sample is enhanced by efficiently coupling to open transmission channels using…

Optics · Physics 2016-11-09 Jeroen Bosch , Sebastianus A. Goorden , Allard P. Mosk

We study the low energy quantum spectra of two-dimensional rectangular billiards with a small but finite-size scatterer inside. We start by examining the spectral properties of billiards with a single pointlike scatterer. The problem is…

chao-dyn · Physics 2009-10-28 T. Shigehara , Taksu Cheon

We investigate the global basin structure of twisted states in nearest-neighbor coupled phase oscillators with a common phase shift $\alpha$. As $\alpha$ increases, basin boundaries become progressively more complex, with their fractal…

Chaotic Dynamics · Physics 2026-03-03 Jin Yan , Ayumi Ozawa , Yuzuru Sato , Hiroshi Kori

We study the thermal rectification phenomenon in ``billiard'' systems with interacting particles. This interaction induces a local dynamical response of the billiard to an external thermodynamic gradient. To explain this dynamical effect we…

Statistical Mechanics · Physics 2008-07-15 Jean-Pierre Eckmann , Carlos Mejia-Monasterio
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