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Employing large deviation theory, we explore current fluctuations of underdamped Brownian motion for the paradigmatic example of a single particle in a one dimensional periodic potential. Two different approaches to the large deviation…

Statistical Mechanics · Physics 2018-03-12 Lukas P. Fischer , Patrick Pietzonka , Udo Seifert

Matter wave interferometry is becoming an increasingly important technique in quantum metrology. However, unlike its photonic counterpart, this technique relies on the interference of particles possessing a non-zero rest mass and an…

The bulk macroscopic response of a system of particles or inclusions with field-induced forces is studied. The susceptibilities and transport coefficients in such a system are expressed as averages of a multiple scattering expansion. A…

Statistical Mechanics · Physics 2009-11-13 P. Szymczak , B. Cichocki

A three-dimensional, steady, laminar shear-layer flow spatially developing under a boundary-layer approximation with mixing, chemical reaction, and imposed normal strain is analyzed. The imposed strain creates a counterflow that stretches…

Fluid Dynamics · Physics 2022-12-14 Jonathan L. Palafoutas , William A. Sirignano

We give a comprehensive introduction into a diagrammatic method that allows for the evaluation of Gutzwiller wave functions in finite spatial dimensions. We discuss in detail some numerical schemes that turned out to be useful in the…

Strongly Correlated Electrons · Physics 2015-10-28 Jan Kaczmarczyk , Tobias Schickling , Jörg Bünemann

The recent increasing interest in detecting gravitational waves (GWs) by lunar seismic measurement urges us to have a clear understanding of the response of the moon to passing GWs. In this paper, we clarify the relationship between two…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Han Yan , Xian Chen , Jinhai Zhang , Fan Zhang , Mengyao Wang , Lijing Shao

Vignale and Kohn have recently formulated a local density approximation to the time-dependent linear response of an inhomogeneous electron system in terms of a vector potential for exchange and correlation. The vector potential depends on…

Statistical Mechanics · Physics 2007-05-23 M. P. Tosi , M. L. Chiofalo , A. Minguzzi , R. Nifosi`

Friction drag from a turbulent fluid moving past or inside an object plays a crucial role in domains as diverse as transportation, public utility infrastructure, energy technology, and human health. As a direct measure of the shear-induced…

Fluid Dynamics · Physics 2023-10-19 Esther Lagemann , Steven L. Brunton , Christian Lagemann

We investigate the Weighted Energy-Dissipation variational approach to semilinear gradient flows with state-dependent dissipation. A family of parameter-dependent functionals defined over entire trajectories is introduced and proved to…

Analysis of PDEs · Mathematics 2024-04-05 Goro Akagi , Ulisse Stefanelli , Riccardo Voso

A new representation of Quantum Gravity is developed. This formulation is based on an extension of the group of loops. The enlarged group, that we call the Extended Loop Group, behaves locally as an infinite dimensional Lie group. Quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. Di Bartolo , R. Gambini , J. Griego

A nested large-scale wave model that covers most of the Atlantic Ocean and focuses on generating accurate swell conditions for Ireland is presented and validated over the two years 2016 and 2017. The impact of currents is studied using the…

Atmospheric and Oceanic Physics · Physics 2022-12-01 Clement Calvino , Tomasz Dabrowski , Frederic Dias

A theory for wave mechanical systems with local inversion and translation symmetries is developed employing the two-dimensional solution space of the stationary Schr\"odinger equation. The local symmetries of the potential are encoded into…

The dispersive motion of surface waves is now routinely used to remotely measure the currents close beneath the surface of oceans and other natural flows. The current manifests as wavelength-dependent Doppler shifts in the spatiotemporal…

Atmospheric and Oceanic Physics · Physics 2024-08-27 Stefan Weichert , Benjamin K. Smeltzer , Simen Å. Ellingsen

In six dimensions there exists a unique one-parameter family of non-linear conformal electrodynamics for a chiral 2-form gauge field which includes (in a free-field limit) the linear chiral 2-form theory and is related, by dimensional…

High Energy Physics - Theory · Physics 2024-11-20 Nihat Sadik Deger , Ángel J. Murcia , Dmitri P. Sorokin

A novel D-model of wave turbulence is presented which allows to reproduce in a single frame various nonlinear wave phenomena such as intermittency, formation and direction of energy cascades, possible growth of nonlinearity due to direct…

Fluid Dynamics · Physics 2011-05-11 Elena Kartashova

General covariant expressions for measurable angles, distances, velocities, and accelerations are provided in terms of fundamental parameters that can be applied in any setup. The relativistic aberration of light relationship is presented…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Dmitri Lebedev , Kayll Lake

Triad resonances for gravity waves propagating in opposite direction with respect to uniform current are introduced. They are produced by multivalued and anisotropic dispersion and occur even in deep water. In contrast, existing literature…

Fluid Dynamics · Physics 2020-07-15 David Kouskoulas , Yaron Toledo

The electric field of light induces--in a non centrosymmetric insulator--a dc current, quadratic in the field magnitude, and called "shift current". When addressed from a many-electron viewpoint, the shift current has a simple explanation…

Materials Science · Physics 2024-11-18 Raffaele Resta

We provide a novel existence result for energy-variational solutions to a general class of evolutionary partial differential equations. Compared to previous works on this solution concept, the generalization is mainly twofold: a relaxation…

Analysis of PDEs · Mathematics 2026-01-29 Thomas Eiter , Robert Lasarzik , Marcel Śliwiński

In the recently introduced Variable-Shape heaving wave energy converters, the buoy changes its shape in response to changing incident waves actively. In this study, the dynamic model for a spherical Variable-Shape Wave Energy Converter is…

Dynamical Systems · Mathematics 2022-10-31 Mohamed A. Shabara , Ossama Abdelkhalik
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