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The earlier approach is used for description of qubits and geometric phase parameters, the things critical in the area of topological quantum computing. The used tool, Geometric (Clifford) Algebra is the most convenient formalism for that…

General Physics · Physics 2015-02-10 Alexander M. Soiguine

The thermal discrete dipole approximation (T-DDA) is a numerical approach for modeling near-field radiative heat transfer in complex three-dimensional geometries. In this work, the convergence of the T-DDA is investigated by comparison…

Computational Physics · Physics 2015-10-19 Sheila Edalatpour , Martin Cuma , Tyler Trueax , Roger Backman , Mathieu Francoeur

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

Computation · Statistics 2020-07-01 Marius Appel , Edzer Pebesma

We use recent observations from solar system orbital motions in order to constrain f(T) gravity. In particular, imposing a quadratic f(T) correction to the linear-in-T form, which is a good approximation for every realistic case, we extract…

General Relativity and Quantum Cosmology · Physics 2013-03-21 Lorenzo Iorio , Emmanuel N. Saridakis

We propose a scale dependent analytic approximation to the exact linear growth of density perturbations in Scalar-Tensor (ST) cosmologies. In particular, we show that on large subhorizon scales, in the Newtonian gauge, the usual scale…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-05 Juan C. Bueno Sanchez , James B. Dent , Sourish Dutta , Leandros Perivolaropoulos

Solid Earth tide represents the response of solid Earth to the lunar (solar) gravitational force. The yielding solid Earth due to the force has been thought to be a prolate ellipsoid since the time of Lord Kelvin, yet the ellipsoid's…

Geophysics · Physics 2024-11-26 Yongfeng Yang , Yunfei Zhang , Qiang Liu , Xianqing Lv , Pu Huang

Stars near the Sun oscillate both horizontally and vertically. In Paper I the coupling between these motions was modelled by determining the horizontal motion without reference to the vertical motion, and recovering the coupling by assuming…

Astrophysics of Galaxies · Physics 2015-05-20 James Binney , Paul McMillan

We here calculate the series expansion of the T-matrix for a spheroidal particle in the small-size/long-wavelength limit, up to third lowest order with respect to the size parameter, X, which we will define rigorously for a non-spherical…

Planets acquire atmospheres from their parent circumstellar disks. We derive a general analytic expression for how the atmospheric mass grows with time $t$, as a function of the underlying core mass $M_{\rm core}$ and nebular conditions,…

Earth and Planetary Astrophysics · Physics 2015-09-23 Eve J. Lee , Eugene Chiang

The equilibration of matter and onset of hydrodynamics can be understood in the AdS/CFT context as a gravitational collapse process, in which "collision debris" create a horizon. In this paper we consider the simplest geometry possible, a…

High Energy Physics - Theory · Physics 2010-05-28 Shu Lin , Edward Shuryak

The growing field of exoplanetary atmospheric modelling has seen little work on standardised benchmark tests for its models, limiting understanding of the dependence of results on specific models and conditions. With spatially resolved…

Earth and Planetary Astrophysics · Physics 2015-06-11 V. L. Bending , S. R. Lewis , U. Kolb

Gravitation and the standard model of particle physics are incorporated within a single conformal scalar-tensor theory, where the scalar field is complex. The Higgs field has a dynamical expectation value, as has the Planck mass, but the…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Meir Shimon

A popular intermediary in the theory of artificial satellites is obtained after the elimination of parallactic terms from the J2-problem Hamiltonian. The resulting quasi-Keplerian system is in turn converted into the Kepler problem by a…

Dynamical Systems · Mathematics 2023-05-17 Martin Lara , Alessandro Masat , Camilla Colombo

We consider generalized gravitational entropy in various higher derivative theories of gravity dual to four dimensional CFTs using the recently proposed regularization of squashed cones. We derive the universal terms in the entanglement…

High Energy Physics - Theory · Physics 2015-06-17 Arpan Bhattacharyya , Menika Sharma , Aninda Sinha

The equations for gravitational plane waves produced by a typical binary system as a solution of linear approximation of Einstein equations is derived. The dynamics of the corresponding gravitational field is analyzed in a 4-dimensional…

General Relativity and Quantum Cosmology · Physics 2016-11-23 S. Nayeh , A. Latifi , S. Arbabi , M. Ghominejad

The standard Lense-Thirring metric is a century-old slow-rotation large-distance approximation to the gravitational field outside a rotating massive body, depending only on the total mass and angular momentum of the source. Although it is…

General Relativity and Quantum Cosmology · Physics 2020-10-30 Joshua Baines , Thomas Berry , Alex Simpson , Matt Visser

Gravitational radiation with roughly spherical wavefronts, produced by roughly spherical black holes or other astrophysical objects, is described by an approximation scheme. The first quasi-spherical approximation, describing radiation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sean A. Hayward

This paper presents a method for the approximation of harmonic potentials that combines downward continuation of globally available data on a sphere $\Omega_R$ of radius $R$ (e.g., a satellite's orbit) with locally available data on a…

Numerical Analysis · Mathematics 2015-07-07 Christian Gerhards

This paper addresses the problem of single snapshot Direction-of-Arrival (DOA) estimation, which is of great importance in a wide-range of applications including automotive radar. A popular approach to achieving high angular resolution when…

Signal Processing · Electrical Eng. & Systems 2024-03-12 Yinyan Bu , Robin Rajamäki , Anand Dabak , Rajan Narasimha , Anil Mani , Piya Pal

Space-based observations of solar-like oscillations present an opportunity to constrain stellar models using individual mode frequencies. However, current stellar models are inaccurate near the surface, which introduces a systematic…

Solar and Stellar Astrophysics · Physics 2015-06-22 Warrick H. Ball , L. Gizon