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Classical relativistic field theory is applied to perfect and magneto-hydrodynamic flows. The fields for Hamilton's principle are shown to be the Lagrangian coordinates of the fluid elements, which are potentials for the matter current…

综合物理 · 物理学 2007-05-23 Sylvan A. Jacques

Application of the time-dependent variational principle to a linear combination of frozen-width Gaussians describing the nuclear wavefunction provides a formalism where the total energy is conserved. The computational downside of this…

化学物理 · 物理学 2022-06-15 Mina Asaad , Loïc Joubert-Doriol , Artur F. Izmaylov

In Lagrangian mechanics, Noether conservation laws including the energy one are obtained similarly to those in field theory. In Hamiltonian mechanics, Noether conservation laws are issued from the invariance of the Poincare-Cartan integral…

数学物理 · 物理学 2007-05-23 G. Sardanashvily

The classical theory of Brownian dynamics follows from coarse-graining the underlying linearized fluctuating hydrodynamics of the solvent. We extend this procedure to globally non-isothermal conditions, requiring only a local thermal…

统计力学 · 物理学 2016-04-06 G. Falasco , K. Kroy

We propose a system of conservation laws with relaxation source terms (i.e. balance laws) for non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the polyconvex elastodynamics of hyperelastic bodies using…

偏微分方程分析 · 数学 2021-04-27 Sébastien Boyaval , Mark Dostalík

Collisionless regime kinetic models for coherent nonlinear Alfven wave dynamics are studied using fluid moment equations with an approximate closure anzatz. Resonant particle effects are modelled by incorporating an additional term…

等离子体物理 · 物理学 2009-10-30 M. V. Medvedev , P. H. Diamond

A general method of solving the drift kinetic equation is developed for an axisymmetric magnetic field. Expanding a distribution function in general moments a set of ordinary differential equations are obtained. Successively expanding the…

等离子体物理 · 物理学 2023-04-11 Jeong-Young Ji , Eric D. Held , J. Andrew Spencer , Yong-Su Na

A general Hamiltonian theory for the adiabatic motion of relativistic charged particles confined by slowly-varying background electromagnetic fields is presented based on a unified Lie-transform perturbation analysis in extended phase space…

等离子体物理 · 物理学 2009-11-13 Xin Tao , Anthony Chan , Alain Brizard

We demonstrate analytically that, in toroidal plasmas, scattering by drift wave turbulence could lead to appreciable damping of toroidal Alfven eigenmodes via generation of short-wavelength electron Landau damped kinetic Alfven waves. A…

等离子体物理 · 物理学 2022-07-20 Liu Chen , Zhiyong Qiu , Fulvio Zonca

Using the very basic physics principles, we have studied the implications of quantum corrections to classical electrodynamics and the propagation of electromagnetic waves and pulses. The initial nonlinear wave equation for the…

等离子体物理 · 物理学 2023-05-30 Stephan I. Tzenov , Klaus M. Spohr , Kazuo A. Tanaka

We present a phenomenological Lagrangian and Poisson brackets for obtaining nondissipative hydrodynamic theory of supersolids. A Lagrangian is constructed on the basis of unification of the principles of non-equilibrium thermodynamics and…

统计力学 · 物理学 2009-02-17 A. S. Peletminskii

Reduced equations that describe low-frequency plasma dynamics play an important role in our understanding of plasma behavior over long time scales. One of the oldest paradigms for reduced plasma dynamics involves the ponderomotive…

等离子体物理 · 物理学 2015-05-13 Alain J Brizard

Using a two-fluid approach, we consider the properties of relativistically nonlinear (arbitrary $a_0$), circularly polarized \EM\ waves propagating along magnetic field in electron-ion and pair plasmas. Dispersion relations depend on how…

高能天体物理现象 · 物理学 2026-04-15 Maxim Lyutikov

We give a new representation as tempered distribution for the energy-momentum tensor of a system of charged point-particles, which is free from divergent self-interactions, manifestly Lorentz-invariant and symmetric, and conserved. We…

高能物理 - 理论 · 物理学 2008-11-26 K. Lechner , P. A. Marchetti

Curvature-driven instabilities are ubiquitous in magnetised fusion plasmas. By analysing the conservation laws of the gyrokinetic system of equations, we demonstrate that the well-known spatial localisation of these instabilities to regions…

等离子体物理 · 物理学 2025-10-23 P. G. Ivanov , P. Luhadiya , T. Adkins , A. A. Schekochihin

In this paper we discuss conservation laws in ideal magnetohydrodynamics (MHD) and gas dynamics associated with advected invariants. The invariants in some cases, can be related to fluid relabelling symmetries associated with the Lagrangian…

数学物理 · 物理学 2014-03-05 Gary M. Webb , Brahmananda Dasgupta , James F McKenzie , Qiang Hu , Gary P. Zank

Gyrokinetic theory is arguably the most important tool for numerical studies of transport physics in magnetized plasmas. However, exact local energy-momentum conservation law for the electromagnetic gyrokinetic system has not been found…

等离子体物理 · 物理学 2021-09-22 Peifeng Fan , Hong Qin , Jianyuan Xiao

A covariant formula for conserved currents of energy, momentum and angular-momentum is derived from a general form of Noethers theorem applied directly to the Einstein-Hilbert action of classical general relativity. Energy conservation in a…

广义相对论与量子宇宙学 · 物理学 2008-02-03 Philip E. Gibbs

We have derived the solutions of the relativistic anomalous magnetohydrodynamics with longitudinal Bjorken boost invariance and transverse electromagnetic fields in the presence of temperature or energy density dependent electric…

高能物理 - 唯象学 · 物理学 2023-05-24 Hao-Hao Peng , Sihao Wu , Ren-jie Wang , Duan She , Shi Pu

The letter considers non-isothermal fluid flows and revises simplifications of basic hydrodynamic equations for such flows arriving eventually to a generalization of the Oberbeck-Boussinesq approximation valid for arbitrary equation of…

流体动力学 · 物理学 2009-02-18 Victor S. L'vov , Oleksii Rudenko