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Based on Document (1), by considering the retarded interaction of radiation fields, the third order transition probabilities of stimulated radiations and absorptions of light are calculated. The revised formulas of nonlinear polarizations…

General Physics · Physics 2008-04-22 Mei Xiaochun

Weakly interacting massive particles are a widely well-probed dark matter candidate by the dark matter direct detection experiments. Theoretically, there are a large number of ultraviolet completed models that consist of a weakly…

High Energy Physics - Phenomenology · Physics 2017-12-06 Zuowei Liu , Yushan Su , Yue-Lin Sming Tsai , Bingrong Yu , Qiang Yuan

Is there really such a thing as weak turbulence? Here we analyze turbulence of weakly interacting waves using the tools of information theory. It offers a unique perspective for comparing thermal equilibrium and turbulence: the mutual…

Fluid Dynamics · Physics 2020-09-09 Gregory Falkovich , Michal Shavit

We provide a compendium of results at the level of matrix elements for a systematic study of dark matter scattering and annihilation. We identify interactions that yield spin-dependent and spin-independent scattering and specify whether the…

High Energy Physics - Phenomenology · Physics 2015-08-31 Jason Kumar , Danny Marfatia

We prove the existence of solitary waves in a lattice where all particles interact with each other by pair-wise repulsive forces that decay with distance. The variational existence proof is based on constrained optimization and provides a…

Analysis of PDEs · Mathematics 2026-02-02 Michael Herrmann , Karsten Matthies , Jan-Patrick Meyer

We study the stochastic background of gravitational waves which accompany the sudden freeze-out of dark matter triggered by a cosmological first order phase transition that endows dark matter with mass. We consider models that produce the…

High Energy Physics - Phenomenology · Physics 2021-02-03 Danny Marfatia , Po-Yan Tseng

Phase singularities are locations where light is twisted like a corkscrew, with positive or negative topological charge depending on the twisting direction. Among the multitude of singularities arising in random wave fields, some can be…

Optics · Physics 2018-07-04 L. De Angelis , F. Alpeggiani , A. Di Falco , L. Kuipers

This paper calculates the stochastic gravitational wave background from dark binaries with finite-range attractive dark forces, complementing previous works which consider long-range dark forces. The finiteness of the dark force range can…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Yang Bai , Sida Lu , Nicholas Orlofsky

In Dark Matter direct detection we are facing the situation of some experiments reporting positive signals which are in conflict with limits from other experiments. Such conclusions are subject to large uncertainties introduced by the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Nassim Bozorgnia , Thomas Schwetz

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these…

patt-sol · Physics 2009-10-31 Elena A. Ostrovskaya , Yuri S. Kivshar

Phase reversal occurs in the propagation of an electromagnetic wave in a negatively refracting medium or a phase-conjugate interface. Here we report the experimental observation of phase reversal diffraction without the above devices. Our…

Quantum Physics · Physics 2015-05-13 Su-Heng Zhang , Shu Gan , De-Zhong Cao , Jun Xiong , Xiangdong Zhang , Kaige Wang

We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory as well as solitary waves. A comparison…

Pattern Formation and Solitons · Physics 2009-11-07 G. Abramson , A. R. Bishop , V. M. Kenkre

We study the nonlinear wave dynamics of one-dimensional chains of polycatenated rings. These interlocked structures support amplitude-dependent nonlinear wave propagation driven by tensile activation and internal structural flexibility,…

Soft Condensed Matter · Physics 2026-05-25 Xiaoxiao Xiong , Reo Yanagi , Tingtao Zhou , Chiara Daraio

We review the study of rogue waves and related instabilities in optical and oceanic environments, with particular focus on recent experimental developments. In optics, we emphasize results arising from the use of real-time measurement…

Fluid Dynamics · Physics 2019-12-24 J. M. Dudley , G. Genty , A. Mussot , A. Chabchoub , F. Dias

We predict that the interface of materials with defocusing thermal nonlinearities support stable fundamental and higher-order surface waves when the opposite edges of the medium are maintained at different temperatures. Such surface waves…

We study the behavior of nonlinear waves in a two-dimensional medium with density and stress relation that vary periodically in space. Efficient approximate Riemann solvers are developed for the corresponding variable-coefficient…

Numerical Analysis · Mathematics 2013-07-18 Manuel Quezada de Luna David I. Ketcheson

A weakly nonlinear spectrum and a strongly nonlinear spectrum coexist in a statistically steady state of elastic wave turbulence. The analytical representation of the nonlinear frequency is obtained by evaluating the extended self-nonlinear…

Chaotic Dynamics · Physics 2014-01-15 Naoto Yokoyama , Masanori Takaoka

Astronomical and cosmological observations of the past 80 years build solid evidence that atomic matter makes up only a small fraction of the matter in the universe. The dominant fraction does not interact with electromagnetic radiation,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Wolfgang Rau

Intensities in high-resolution phase-contrast images from electron microscopes build up discretely in time by detecting single electrons. A wave description of pulse-like coherent-inelastic interaction of an electron with matter is detailed…

Materials Science · Physics 2024-04-23 Christian Kisielowski , Petra Specht , Joerg R. Jinschek , Stig Helveg