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Using the 3+1 formalism of general relativity we obtain the equations governing the dynamics of spherically symmetric spacetimes with arbitrary sources. We then specialize for the case of perfect fluids accompanied by a flow of interacting…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Marcelo Salgado

We study dissipation in inhomogeneous two-dimensional electron systems. We predict a relatively strong current-induced spatial asymmetry in the heating of the electron and phonon systems -- even if the inhomogeneity responsible for the…

Mesoscale and Nanoscale Physics · Physics 2019-12-04 K. S. Tikhonov , I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

We develop a hydrodynamic effective field theory on the Schwinger-Keldysh contour for fluids with charge, energy, and momentum conservation, but only discrete rotational symmetry. The consequences of anisotropy on thermodynamics and…

High Energy Physics - Theory · Physics 2022-03-16 Xiaoyang Huang , Andrew Lucas

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

Soft Condensed Matter · Physics 2024-01-09 Sergey Khrapak

We generalize Einstein's probabilistic method for the Brownian motion to study compressible fluids in porous media. The multi-dimensional case is considered with general probability distribution functions. By relating the expected…

Analysis of PDEs · Mathematics 2025-03-06 Luan Hoang , Akif Ibragimov

We address the linear-mode analysis performed near an equilibrium configuration in the fluid rest frame with a dynamical magnetic field perturbed on a constant configuration. We develop a simple and general algorithm for an analytic…

Plasma Physics · Physics 2024-09-30 Zhe Fang , Koichi Hattori , Jin Hu

Aerodynamic drag can be partially approximated by the entropy flux across fluid domain boundaries with a formula due to Oswatitsch. In this paper, we build the adjoint solution that corresponds to this representation of the drag and…

Fluid Dynamics · Physics 2023-11-23 Carlos Lozano

We formulate dissipative magnetohydrodynamic equations for finite-temperature superfluid and superconducting charged relativistic mixtures, taking into account the effects of particle diffusion and possible presence of Feynman-Onsager…

High Energy Astrophysical Phenomena · Physics 2021-12-15 Vasiliy A. Dommes , Mikhail E. Gusakov

We consider N=2 supergravity in four dimensions, coupled to an arbitrary number of vector- and hypermultiplets, where abelian isometries of the quaternionic hyperscalar target manifold are gauged. Using a static and spherically or…

High Energy Physics - Theory · Physics 2016-09-14 Dietmar Klemm , Nicolò Petri , Marco Rabbiosi

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

Statistical Mechanics · Physics 2024-04-18 Gyula I. Tóth

Quasisymmetry builds a third invariant for charged-particle motion besides energy and magnetic moment. We address quasisymmetry at the level of approximate symmetries of first-order guiding-centre motion. We find that the conditions to…

Plasma Physics · Physics 2021-05-26 Joshua W. Burby , Nikos Kallinikos , Robert S. MacKay

We study the constraints imposed by conformal symmetry on the equations of fluid dynamics at second order in gradients of the hydrodynamic variables. At zeroth order conformal symmetry implies a constraint on the equation of state, E=2/3 P,…

High Energy Physics - Theory · Physics 2015-05-30 Jingyi Chao , Thomas Schaefer

We present an efficient method for computing the zero frequency limit of transport coefficients in strongly coupled field theories described holographically by higher derivative gravity theories. Hydrodynamic parameters such as shear…

High Energy Physics - Theory · Physics 2010-02-23 Miguel F. Paulos

We review a recently proposed framework for studying axially symmetric dissipative fluids \cite{Ref1}. Some general results are discussed at the most general level. We then proceed to analyze some particular cases. First, the shear-free…

General Relativity and Quantum Cosmology · Physics 2015-06-10 L. Herrera

In this paper, we study all transport coefficients of second-order dissipative fluid dynamics derived by V. E. Ambrus et al. [Phys. Rev. D 106, 076005 (2022)] from the relativistic Boltzmann equation in the relaxation-time approximation for…

Nuclear Theory · Physics 2024-04-30 Victor Ambrus , Etele Molnár , Dirk H. Rischke

The full set of equations governing the structure and the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses, is written down in terms of five scalar quantities obtained from the orthogonal…

General Relativity and Quantum Cosmology · Physics 2011-07-19 L. Herrera , J. Ospino , A. Di Prisco , E. Fuenmayor , O. Troconis

We present a new formulation of non-dissipative relativistic spin hydrodynamics that incorporates spin degrees of freedom into the divergence-type theory framework. Due to the divergence-type structure, it is straightforward to enforce…

Nuclear Theory · Physics 2025-11-26 Nick Abboud , Lorenzo Gavassino , Rajeev Singh , Enrico Speranza

The covariant derivative capable of differentiating and parallel transporting tangent vectors and other geometric objects induced by a parameter-dependent quantum state is introduced. It is proved to be covariant under gauge and coordinate…

Quantum Physics · Physics 2023-11-03 Ryan Requist

In this article we consider the stability and damping problem for the 2D Boussinesq equations with partial dissipation near a two parameter family of stationary solutions which includes Couette flow and hydrostatic balance. In the first…

Analysis of PDEs · Mathematics 2020-04-20 Christian Zillinger

It was shown in [PRL 114, 138301 (2015)] that a remarkably simple dynamical model exhibits many of the complex flow regimes and non-equilibrium phase transitions characteristic of complex fluids. By removing extraneous detail, this simplest…

Soft Condensed Matter · Physics 2016-09-05 R. M. L. Evans , Craig A. Hall , R. Aditi Simha , Tom Welsh