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We revisit the problem of the uncertainty relation for angle by using quantum hydrodynamics formulated in the stochastic variational method (SVM), where we need not define the angle operator. We derive both the Kennard and…

Quantum Physics · Physics 2020-04-09 J. -P. Gazeau , T. Koide

Hydrodynamics provides a concise but powerful description of long-time and long-distance physics of correlated systems out of thermodynamic equilibrium. Here we construct hydrodynamic equations for nonrelativistic particles with a…

Quantum Gases · Physics 2018-12-27 Keisuke Fujii , Yusuke Nishida

This paper describes a numerical scheme for multi-fluid hydrodynamics in the limit of small mass densities of the charged particles. The inertia of the charged particles can then be neglected, which makes it possible to write an evolution…

Astrophysics · Physics 2009-11-10 S. A. E. G. Falle

Additional physics beyond standard hydrodynamics is needed to fully model the intracluster medium (ICM); however, as we move to more sophisticated models, it is important to consider the role of magnetic fields and the way the fluid…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-04 Hilary Egan , Brian W. O'Shea , Eric Hallman , Jack Burns , Hao Xu , David Collins , Hui Li , Michael L. Norman

Quantum fluid (or hydrodynamic) models provide an attractive alternative for the modeling and simulation of the electron dynamics in nano-scale objects. Compared to more standard approaches, such as density functional theory or phase-space…

Quantum Physics · Physics 2021-10-12 Giovanni Manfredi , Paul-Antoine Hervieux , Jérôme Hurst

In the spirit of Sakharov's `metric elasticity' proposal, we draw a loose analogy between general relativity and the hydrodynamic state of a quantum gas. In the `top-down' approach, we examine the various conditions which underlie the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 B. L. Hu

Some basic questions about the hydrodynamical approach to relativistic heavy ion collisions are discussed aiming to clarify how far we can go with such an approach to extract useful information on the properties and dynamics of the QCD…

High Energy Physics - Phenomenology · Physics 2015-06-11 Ph. Mota , T. Kodama , J. Takahashi , R. Derradi de Souza

Using $10,\!080^3$ grid simulations, we analyze scale-dependent alignment in driven, compressible, no net-flux magnetohydrodynamic turbulence. The plasma self-organizes into localized, strongly aligned regions. Alignment spans all primitive…

Plasma Physics · Physics 2025-04-23 James R. Beattie , Amitava Bhattacharjee

In this paper we review recent progress on relativistic hydrodynamics in (2 + 1)-dimensions with an external magnetic field. We discuss the formalism allowing for momentum loss due to the explicit and spontaneous breaking of translation…

High Energy Physics - Theory · Physics 2022-09-26 Andrea Amoretti , Daniel K. Brattan

Radiation interacts with matter via exchange of energy and momentum. When matter is moving with a relativistic velocity or when the background spacetime is strongly curved, rigorous relativistic treatment of hydrodynamics and radiative…

Astrophysics · Physics 2009-11-11 Myeong-Gu Park

Connecting the different length scales of characterization is an important, but often very tedious task for soft matter systems. Here we carry out such a procedure for the theoretical description of anisotropic uniaxial magnetic gels. The…

Soft Condensed Matter · Physics 2014-11-21 Andreas M. Menzel

We outline the content and theoretical support for the proposal of "hydrodynamics on (mini)superspace" (or a non-linear extension of quantum cosmology) as an effective framework for quantum gravity in a cosmological context. The basis for…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Daniele Oriti

We derive a number of solution for one-dimensional dynamics of relativistic magnetized plasma that can be used as benchmark estimates in relativistic hydrodynamic and magnetohydrodynamic numerical codes. First, we analyze the properties of…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Maxim Lyutikov , Samuel Hadden

A relativistic quantum mechanical model to describe the quantum FEL dynamics has been developed. Neglecting the spin of electrons in the impacting beam, this model is based on the Klein-Gordon equation coupled to the Poisson equation for…

Plasma Physics · Physics 2023-10-20 Stephan I. Tzenov , Zhichu Chen

One of the fundamental challenges of quantum gravity is to understand how the microscopic degrees of freedom of the cosmological horizon shape the evolution of the Universe. One possible approach to this problem is based on the…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Yu. L. Bolotin , V. V. Yanovsky , D. A. Yerokhin

Physical understanding of how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system, such as magnetohydrodynamic turbulence or turbulent binary fluid mixtures,…

Statistical Mechanics · Physics 2021-03-23 Sudip Mukherjee , Abhik Basu

We have developed a new massively-parallel radiation-hydrodynamics code (Cosmos) for Newtonian and relativistic astrophysical problems that also includes radiative cooling, self-gravity, and non-equilibrium, multi-species chemistry. Several…

Astrophysics · Physics 2009-11-07 Peter Anninos , P. Chris Fragile , Stephen D. Murray

The idea to describe quantum systems within a hydrodynamic framework (quantum hydrodynamics, QHD) goes back to Madelung and Bohm. While such a description is formally exact for a single particle, more recently the concept has been applied…

Plasma Physics · Physics 2015-06-11 D. Michta , F. Graziani , M. Bonitz

We investigate the relativistic cosmological hydrodynamic perturbations. We present the general large scale solutions of the perturbation variables valid for the general sign of three space curvature, the cosmological constant, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Hwang , H. Noh

We present three-dimensional solutions of the magnetohydrostatic equations in the co-rotating frame of reference outside a magnetized rigidly rotating cylinder. We make no symmetry assumption for the magnetic field, but to be able to make…

Earth and Planetary Astrophysics · Physics 2009-11-30 Thomas Neukirch