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We introduce a notion of stability for non-autonomous Hamiltonian flows on two-dimensional annular surfaces. This notion of stability is designed to capture the sustained twisting of particle trajectories. The main Theorem is applied to…

Analysis of PDEs · Mathematics 2024-08-30 Theodore D. Drivas , Tarek M. Elgindi , In-Jee Jeong

We report a laboratory study of the transport of angular momentum by a turbulent flow of an electrically conducting fluid confined in a thin disk. When the electromagnetic force applied to the liquid metal is large enough, the corresponding…

Fluid Dynamics · Physics 2022-08-31 Marlone Vernet , Stephan Fauve , Christophe Gissinger

Current-driven reconnection is investigated as a possible mechanism for angular momentum transport in astrophysical disks. A theoretical and computational study of angular momentum transport from current-driven magnetohydrodynamic…

High Energy Astrophysical Phenomena · Physics 2015-05-30 F. Ebrahimi , S. C. Prager

We calculate the angular momentum transport by gravito-inertial-Alfv\'en waves and show that, so long as prograde and retrograde gravity waves are excited to roughly the same amplitude, the sign of angular momentum deposit in the radiative…

Astrophysics · Physics 2009-10-31 Pawan Kumar , Suzanne Talon , Jean-Paul Zahn

Suppose that viscous fluid is contained in the space between a fixed sphere $S_2$ and an interior sphere $S_1$ which moves with time-periodic velocity ${\bf U}(t)$ and angular velocity ${\bf \Omega}(t)$, with $ \left<{\bf U}(t)\right> =…

Fluid Dynamics · Physics 2019-04-16 H. K. Moffatt , V. A. Vladimirov

Ambiguities in the definition of angular momentum of a quantum-mechanical particle in the presence of a magnetic vortex are reviewed. We show that the long-standing problem of the adequate definition is resolved in the framework of the…

High Energy Physics - Theory · Physics 2008-11-26 Yu. A. Sitenko , N. D. Vlasii

This paper introduces a new object called the momentum tensor. Together with the velocity tensor it forms a basis for establishing the tensorial picture of classical and relativistic mechanics. Some properties of the momentum tensor are…

General Physics · Physics 2011-02-07 Tomasz Lanczewski

The well-known issue with the absence of conservation of angular momentum in classical particle systems with periodic boundary conditions is addressed. It is shown that conventional theory based on Noether's theorem fails to explain the…

Classical Physics · Physics 2017-08-01 Vitaly A. Kuzkin

Conservation laws have many applications in numerical relativity. However, it is not straightforward to define local conservation laws for general dynamic spacetimes due the lack of coordinate translation symmetries. In flat space, the rate…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Robin Croft

The principles underlying a proposed class of black hole accretion models are examined. The flows are generally referred to as ``convection-dominated,'' and are characterized by inward transport of angular momentum by thermal convection and…

Astrophysics · Physics 2009-11-07 Steven A. Balbus , John F. Hawley

The paper proposes a technique to estimate the angular velocity of a rigid body from single vector measurements. Compared to the approaches presented in the literature, it does not use attitude information nor rate gyros as inputs. Instead,…

Dynamical Systems · Mathematics 2015-03-12 Lionel Magnis , Nicolas Petit

Angular momentum is important concept in physics, and its phase space properties are important in various applications. In this work phase space analysis of the angular momentum is made from its classical definition, and by imposing…

Quantum Physics · Physics 2019-05-15 S. Danko Bosanac

We present angular momentum transport (torque) measurements in two recent experimental studies of the turbulent flow between independently rotating cylinders. In addition to these studies, we reanalyze prior torque measurements to expand…

Fluid Dynamics · Physics 2012-11-12 M. S. Paoletti , Dennis P. M. van Gils , B. Dubrulle , Chao Sun , Detlef Lohse , D. P. Lathrop

We are interested in building schemes for the compressible Euler equations that are also locally conserving the angular momentum. We present a general framework, describe a few examples of schemes and show results. These schemes can be of…

Numerical Analysis · Mathematics 2022-01-14 Rémi Abgrall , Fatemeh Nassajian Mojarrad

It is well-known that an electric charge under a uniform magnetic field has a bidimensional motion if its initial position and velocity are perpendicular to this magnetic field. Although some constants of motion, as the energy and angular…

We investigate the radiation of optical angular momentum by a dipole gas under uniform magnetic field with an unpolarized source at its center. Conservation of angular momentum implies that the radiation of angular momentum results in a…

Optics · Physics 2023-07-03 R. Le Fournis , B. A. Van Tiggelen

The transport of energy in a moving fluid with a simply connected free surface is analyzed, taking into account the contribution of surface tension. This is done by following a "control volume" with arbitrary, specified velocity,…

Fluid Dynamics · Physics 2021-06-02 Tomas Bohr , Bernhard Scheichl

The motion of a large, neutrally buoyant, particle, freely advected by a turbulent flow is determined experimentally. We demonstrate that both the translational and angular accelerations exhibit very wide probability distributions, a…

Using the Hamiltonian formulation, we have attempted to obtain the equations of motion of systems with internal angular momentum that are moving with respect to a reference system when subjected to an interaction. This interaction involves…

Chemical Physics · Physics 2007-05-23 Manuel Dorado Gonzalez

We study fluctuations and correlations of the average transverse momentum of particles emitted in heavy-ion collisions. Fluctuations of the average transverse momentum are related to event-by-event fluctuations of the size and entropy of…

Nuclear Theory · Physics 2017-07-17 Piotr Bozek , Wojciech Broniowski , Sandeep Chatterjee