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In this article, we present the definitive transformation formulae of the mass aspect and angular momentum aspect under BMS transformations. Two different approaches that lead to the same formulae are taken. In the first approach, the…

General Relativity and Quantum Cosmology · Physics 2023-05-09 Po-Ning Chen , Mu-Tao Wang , Ye-Kai Wang , Shing-Tung Yau

We study the quadrupole oscillation of a Bose-Einstein condensate of $^{87}$Rb atoms confined in an axisymmetric magnetic trap, after it has been stirred by an auxiliary laser beam. The stirring may lead to the nucleation of one or more…

Soft Condensed Matter · Physics 2009-02-12 F. Chevy , K. Madison , J. Dalibard

Turbulent motions in stellar convection zones generate acoustic energy, part of which is then supplied to normal modes of the star. Their amplitudes result from a balance between the efficiencies of excitation and damping processes in the…

Astrophysics · Physics 2009-11-13 K. Belkacem , R. Samadi , M. J. Goupil , M. A. Dupret

Angular momentum is traditionally taught as a (pseudo)vector quantity, tied closely to the cross product. This approach is familiar to experts but challenging for students, and full of subtleties. Here, we present an alternative pedagogical…

Physics Education · Physics 2023-08-21 Steuard Jensen , Jack Poling

Angular momentum can be transferred to a trapped Bose-Einstein condensate by distorting its shape with an external rotating field, provided the rotational frequency is larger than a critical frequency fixed by the energy and angular…

Condensed Matter · Physics 2009-10-31 F. Dalfovo , S. Stringari

We realize noncommutative phase spaces as coadjoint orbits of extensions of the Aristotle group in a two-dimensional space. Through these constructions the momenta of the phase spaces do not commute due to the presence of a naturally…

Mathematical Physics · Physics 2013-07-29 Ancille Ngendakumana , Joachim Nzotungicimpaye , Leonard Todjihounde

We peform a study of gravitational waves emitted by inspiraling black holes in the context of quadratic gravity. By linearizing the field equations around a flat background, we demonstrate that all degrees of freedom satisfy wave-like…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Matheus F. S. Alves , Luís F. M. A. M. Reis , L. G. Medeiros

We present self-consistent numerical simulations of the sun's convection zone and radiative interior using a two-dimensional model of its equatorial plane. The background reference state is a one-dimensional solar structure model. Turbulent…

Astrophysics · Physics 2008-11-26 Tamara M. Rogers , Gary A. Glatzmaier

Presented is description of kinematics and dynamics of material points with internal degrees of freedom moving in a Riemannian manifold. The models of internal degrees of freedom we concentrate on are based on the orthogonal and affine…

Mathematical Physics · Physics 2010-03-17 J. J. Sławianowski , V. Kovalchuk , B. Gołubowska , A. Martens , E. E. Rożko

We investigate the impact of momentum-dependent relaxation time approximation in the Boltzmann equation within the Bjorken flow framework by analyzing the moments of the single-particle distribution function. The moment equations, which…

Nuclear Theory · Physics 2025-10-23 Reghukrishnan Gangadharan , Sukanya Mitra , Victor Roy

The theoretical understanding of active matter, which is driven out of equilibrium by directed motion, is still fragmental and model oriented. Stochastic thermodynamics, on the other hand, is a comprehensive theoretical framework for driven…

Statistical Mechanics · Physics 2017-01-05 Thomas Speck

Employing the phase-space representation of second order ordinary differential equations we developed a method to find the eigenvalues and eigenfunctions of the 1-dimensional time independent Schr\"odinger equation for quantum model…

Quantum Physics · Physics 2021-08-27 Juan C. Morales , Carlos A. Arango

Force-free neutron star magnetospheres are nowadays well known and found through numerical simulations. Even extension to general relativity has recently been achieved. However, those solutions are by definition dissipationless, meaning…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Jérôme Pétri

Angular momentum at null infinity has a supertranslation ambiguity from the lack of a preferred Poincar\'e group and a similar ambiguity when the center-of-mass position changes as linear momentum is radiated. Recently, we noted there is an…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Geoffrey Compère , David A. Nichols

The problem of finding a vacuum definition for a single quantum field in curved space-times is discussed under a new geometrical perspective. The phase space dynamics of the quantum field modes are mapped to curves in a 2-dimensional…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Mariana Penna-Lima , Nelson Pinto-Neto , Sandro D. P. Vitenti

A class of systems exists in which dissipation, external drive and interactions compete and give rise to non equilibrium phases that would not exist without the drive. There, phase transitions could occur without the breaking of any…

Quantum Physics · Physics 2023-06-28 Giovanni Ferioli , Antoine Glicenstein , Igor Ferrier-Barbut , Antoine Browaeys

Broadband, coherent light carrying optical angular momentum is of potential utility for a variety of classical and quantum communication applications, but at present few such sources exist. We study the generation of supercontinua in a ring…

Optics · Physics 2020-01-08 Calum Maitland , Fabio Biancalana

Stellar radiative zones are typically assumed to be motionless in standard models of stellar structure but there is sound theoretical and observational evidence that this cannot be the case. We investigate by direct numerical simulations a…

Fluid Dynamics · Physics 2018-07-18 Radostin D. Simitev , Friedrich H. Busse

We investigate spontaneous emission of a two-level atom with an arbitrarily polarized electric dipole in front of a flat dielectric surface. We treat the general case where the atomic dipole matrix element is a complex vector, that is, the…

Quantum Physics · Physics 2016-04-20 Fam Le Kien , A. Rauschenbeutel

A coupled system of nonlinear mixed-type equations modeling early stages of angiogenesis is analyzed in a bounded domain. The system consists of stochastic differential equations describing the movement of the positions of the tip and stalk…

Analysis of PDEs · Mathematics 2022-06-24 Markus Fellner , Ansgar Jüngel