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Experimentalists now measure intense rotations of Lagrangian particles in turbulent flows by tracking their trajectories and Lagrangian-average velocity gradients at high Reynolds numbers. This paper formulates the dynamics of an…

Chaotic Dynamics · Physics 2009-11-11 J. D. Gibbon , D. D. Holm

The behavior of an electron spin interacting with a linearly polarized laser field is analyzed. In contrast to previous considerations of the problem, the initial state of the electron represents a localized wave packet, and a spatial…

Quantum Physics · Physics 2020-08-12 I. A. Aleksandrov , D. A. Tumakov , A. Kudlis , V. M. Shabaev , N. N. Rosanov

The ponderomotive perturbation in the interaction region of laser radiation with a low density and low-temperature plasma is considered. Estimates of the perturbation magnitude are determined from the plasma parameters, geometry, intensity…

Plasma Physics · Physics 2018-05-29 Mikhail N. Shneider

Inertial particles in turbulent flows are characterised by preferential concentration and segregation and, at sufficient mass loading, dense particle clusters may spontaneously arise due to momentum coupling between the phases. These…

Fluid Dynamics · Physics 2019-01-30 Alessio Innocenti , Rodney O Fox , Sergio Chibbaro

The Lagrangian formulation for the irrotational wave motion is straightforward and follows from a Lagrangian functional which is the difference between the kinetic and the potential energy of the system. In the case of fluid with constant…

Fluid Dynamics · Physics 2024-06-04 Conor T. Curtin , Rossen I. Ivanov

The present article deals with general mechanics in an unconventional manner. At first, Newtonian mechanics for a point particle has been described in vectorial picture, considering Cartesian, polar and tangent-normal formulations in a…

Classical Physics · Physics 2024-10-01 Subenoy Chakraborty

Several laser techniques have been suggested and demonstrated recently for preparing polarizable molecules in rapidly spinning states with a disc-like angular distribution. We consider motion of these spinning discs in inhomogeneous fields,…

Chemical Physics · Physics 2015-05-20 Johannes Floss , Erez Gershnabel , Ilya Sh. Averbukh

Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-in-Cell algorithm that is intrinsically free of the Numerical Cherenkov…

The multiplicative Lagrangian and Hamiltonian introduce an additional parameter that, despite its variation, results in identical equations of motion as those derived from the standard Lagrangian. This intriguing property becomes even more…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Kittikun Surawuttinack , Suppanat Supanyo , Sikarin Yoo-Kong

Starting from the Heisenberg-Euler effective Lagrangian, we determine the photon current and photon polarization tensor in inhomogeneous, slowly varying electromagnetic fields. To this end, we consider background field configurations…

High Energy Physics - Phenomenology · Physics 2022-06-02 Felix Karbstein , Rashid Shaisultanov

We study properties of classical reparametrization-invariant matter systems, mainly the relativistic particle and its d-brane generalization. The corresponding matter Lagrangian naturally contains background interaction fields, such as a…

Mathematical Physics · Physics 2007-05-23 Vesselin G. Gueorguiev

We construct the Lagrangian formulation of a micro-structured spinning, dilating and shearing (deformable) test body, moving in arbitrary non-Riemannian backgrounds possessing all geometrical entities of curvature, torsion and…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Damianos Iosifidis

A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called "inertons," should exist. The equations…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

High-order harmonic generation (HHG) by hydrogenlike atoms/ions in the uniform periodic electric field, formed by the two linearly polarized counterpropagating laser beams of relativistic intensities, is studied. The relativistic quantum…

Atomic Physics · Physics 2011-06-14 H. K. Avetissian , A. G. Markossian , G. F. Mkrtchian

The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. A simple derivation of the spin interaction with gravitational field is presented. The self-consistent description of the spin…

General Relativity and Quantum Cosmology · Physics 2008-08-12 I. B. Khriplovich

We use the vector model of spinning particle to analyze the influence of spin-field coupling on the particle's trajectory in ultra-relativistic regime. The Lagrangian with minimal spin-gravity interaction yields the equations equivalent to…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Alexei A. Deriglazov , Walberto Guzmán Ramírez

A complete, straightforward and natural Lagrangian description is given for the classical non-relativistic dynamics of a particle with colour or internal symmetry degrees of freedom moving in a background Yang-Mills field. This provides a…

High Energy Physics - Theory · Physics 2011-04-15 N Linden A J Macfarlane , J W van Holten

The Lagrangian formalism is used to derive covariant equations that are suitable for use in continuously distributed matter in curved spacetime. Special attention is given to theoretical representation, in which the Lagrangian and its…

General Physics · Physics 2025-02-19 Sergey G. Fedosin

The secular dynamics of a non-relativistic charged particle in an electromagnetic wave can be described by the ponderomotive potential. Although ponderomotive electron-laser interactions at relativistic velocities are important for emerging…

Using the relativistic electrodynamics of continuous media formalism and main relativistic quantum field theory principles the covariant Lagrangian of electromagnetic field interaction with polarizable 1/2-spin particles have been obtained.…

High Energy Physics - Phenomenology · Physics 2007-07-18 A. Ilyichev , S. Lukashevich , N. Maksimenko