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We consider variational problems that model the bending behavior of curves that are constrained to belong to given hypersurfaces. Finite element discretizations of corresponding functionals are justified rigorously via Gamma-convergence.…

Numerical Analysis · Mathematics 2020-04-24 Sören Bartels

An improved formalism of the two-neutrino double-beta decay ($2\nu\beta\beta$-decay) rate is presented, which takes into account the dependence of energy denominators on lepton energies via the Taylor expansion. Till now, only the leading…

Nuclear Theory · Physics 2018-04-13 Fedor Šimkovic , Rastislav Dvornický , Dušan Štefánik , Amand Faessler

This is the second of a series of papers devoted to develop a microscopical approach to the dipole emission process and its relation to coherent transport in random media. In this Letter, we deduce a relation between the transverse decay…

Optics · Physics 2009-03-12 M. Donaire

This article is a follow up of our submitted paper [11] in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated and a decoupling and linearisation technique was presented to…

Numerical Analysis · Mathematics 2017-12-14 David Seus , Florin A. Radu , Christian Rohde

Obtaining general relations between macroscopic properties of random assemblies, such as density, and the microscopic properties of their constituent particles, such as shape, is a foundational challenge in the study of amorphous materials.…

Soft Condensed Matter · Physics 2016-05-05 Yoav Kallus

In a companion paper, equations for partially molten media were derived using two-scale homogenization theory. One advantage of homogenization is that material properties, such as permeability and viscosity, readily emerge. A caveat is that…

Geophysics · Physics 2015-05-13 Gideon Simpson , Marc Spiegelman , Michael I. Weinstein

I present a model-independent spherically symmetric density estimator to be used in the cross-correlation of imaging catalogs with objects of known redshift. The estimator is a simple modification of the usual projected density estimator,…

Astrophysics · Physics 2008-11-26 Daniel J. Eisenstein

In non-destructive evaluation guided wave inspections, the elastic structure to be inspected is often embedded within other elastic media and the ensuing leaky waves are complex and non-trivial to compute; we consider the canonical example…

Numerical Analysis · Mathematics 2024-07-04 Evripides Georgiades , Michael J. S. Lowe , Richard V. Craster

An angular effective mass formalism previously introduced is used to study the density of states in warped and non-warped energy bands. Band warping may or may not increase the density-of-states effective mass. Band "corrugation," referring…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Nicholas A. Mecholsky , Lorenzo Resca , Ian L. Pegg , Marco Fornari

This contribution describes a statistical model for decaying quantum systems (e.g. photo-dissociation or -ionization). It takes the interference between direct and indirect decay processes explicitely into account. The resulting expressions…

Chaotic Dynamics · Physics 2009-11-11 T. Gorin

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 discuss in detail the spatial distribution of angular momentum inside the nucleon. We show that the discrepancies between different definitions originate from terms that integrate to zero. Even though these terms can safely be dropped at…

High Energy Physics - Phenomenology · Physics 2017-11-22 Cédric Lorcé , Luca Mantovani , Barbara Pasquini

Due to considerable recent interest in the use of density matrices for a wide variety of purposes, including quantum computation, we present a general method for their parameterizations in terms of Euler angles. We assert that this is of…

Quantum Physics · Physics 2009-11-06 Mark S. Byrd , Paul B. Slater

We propose a model for demixing of two species by assuming a density-dependent effective diffusion coefficient of the particles. Both sorts of microswimmers diffuse as active overdamped Brownian particles with a noise intensity that is…

Biological Physics · Physics 2021-02-17 Lutz Schimansky-Geier , Benjamin Lindner , Sebastian Milster , Alexander B. Neiman

We obtain a general solution for the probability density function of wave intensities in non-stationary Wave Turbulence. The solution is expressed in terms of the wave action spectrum evolving according the the wave-kinetic equation. We…

Statistical Mechanics · Physics 2017-09-13 Yeontaek Choi , Young-Sam Kwon , Sanggyu Jo , Sergey Nazarenko

We employ ptychography, a phase-retrieval imaging technique, to show experimentally for the first time that a partially coherent high-energy matter (electron) wave emanating from an extended source can be decomposed into a set of mutually…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 S. Cao , P. Kok , P. Li , A. M. Maiden , J. M. Rodenburg

In this paper we consider second order evolution equations with bounded damping. We give a characterization of a non uniform decay for the damped problem using a kind of observability estimate for the associated undamped problem.

Dynamical Systems · Mathematics 2016-01-14 Kaïs Ammari , Ahmed Bchatnia , Karim El Mufti

The analysis of $B \to \jpsi K^{\star}_{2}(1430)$ decay mode is complicated by the fact that close to the $J^{PC}=2^{++}$ meson $\Kstart(1430)$, there lie other $J^{PC}=1^{--}$ and $J^{PC}=0^{++}$ resonances, $K^{\star}(1410)$ and…

High Energy Physics - Phenomenology · Physics 2009-11-11 Chandradew Sharma , Rahul Sinha

Kinematic edges of cascade decays of new particles produced in high-energy collisions may provide important constraints on the involved particles' masses. For the exemplary case of gluino decay $\tilde{g}\to q\bar q \tilde{\chi}$ into a…

High Energy Physics - Phenomenology · Physics 2017-04-19 Martin Beneke , Laura Jenniches , Alexander Mück , Maria Ubiali

A problem of a wave identification is formulated. An example is considered in conditions of one-dimensional Cauchy problem for conventional string equation in matrix form and its inhomogeneous two-component version. The acoustic and…

Mathematical Physics · Physics 2014-12-30 Sergey Leble , Irina Vereshchagina