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This paper revisits the problem of heat conduction in relativistic fluids, associated with issues concerning both stability and causality. It has long been known that the problem requires information involving second order deviations from…

General Relativity and Quantum Cosmology · Physics 2015-05-28 N. Andersson , C. Lopez-Monsalvo

We investigate the causality and stability of relativistic dissipative fluid dynamics in the absence of conserved charges. We perform a linear stability analysis in the rest frame of the fluid and find that the equations of relativistic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Shi Pu , Tomoi Koide , Dirk H. Rischke

We consider the stability of a compressible shear flow separating two streams of different speeds and temperatures. The velocity and temperature profiles in this mixing layer are hyperbolic tangents. The normal mode analysis of the flow…

Astrophysics · Physics 2009-11-13 P. Caillol , M. Ruderman

We here present two simplified models aimed at describing the long-term, irregular behaviours observed in the rheological response of certain complex fluids, such as periodic oscillations or chaotic-like variations. Both models exploit the…

Condensed Matter · Physics 2009-11-10 A. Aradian , M. E. Cates

The acoustic wave-propagation without mean flow and heat flux can be described in terms of velocity and pressure by the compressible nonlinear Navier-Stokes equations, where boundary layers appear at walls due to the viscosity and a…

Analysis of PDEs · Mathematics 2017-01-10 Anastasia Thoens-Zueva , Kersten Schmidt , Adrien Semin

Acoustic fields effect steady transport of suspended particles by rectifying the inertia of primary oscillations. We develop a fully analytic theory that relates this steady particle motion to incident oscillatory (acoustic) flow and the…

Fluid Dynamics · Physics 2023-10-03 Xiaokang Zhang , Jake Minten , Bhargav Rallabandi

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

Statistical Mechanics · Physics 2017-06-13 Cem Yolcu , Antoine Bérut , Gianmaria Falasco , Artyom Petrosyan , Sergio Ciliberto , Marco Baiesi

Relativistic superfluidity at arbitrary temperature, chemical potential and (uniform) superflow is discussed within a self-consistent field-theoretical approach. Our starting point is a complex scalar field with a $\varphi^4$ interaction,…

High Energy Physics - Phenomenology · Physics 2014-04-23 Mark G. Alford , S. Kumar Mallavarapu , Andreas Schmitt , Stephan Stetina

We consider the transport of passive admixture in locally homogeneous isotropic reflectionally noninvariant turbulence of incompressible fluid. It is shown that anomalous convective flow appears which direction does not coincide with that…

chao-dyn · Physics 2008-02-03 A. V. Chechkin , A. V. Tur , V. V. Yanovsky

We study sound in a single-channel one-dimensional quantum liquid. In contrast to classical fluids, instead of a single sound mode we find two modes of density oscillations. The speeds at which these two sound modes propagate are nearly…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 K. A. Matveev , A. V. Andreev

The general relativistic non--linear dynamics of a self--gravitating collisionless fluid with vanishing vorticity is studied in synchronous and comoving -- i.e. {\em Lagrangian} -- coordinates. Writing the equations in terms of the metric…

Astrophysics · Physics 2007-05-23 Sabino Matarrese

It is shown that small, local disturbances of entropy in the atmosphere may give rise to "sound" waves propagating with a velocity which depends on the amplitude ratio of the local relative variations of temperature and volume. This…

ao-sci · Physics 2008-02-03 B. -F. Apostol , S. Stefan , M. Apostol

Nonlinear acoustic evolution is often discussed in the context of wave-steepening that leads to shock formation, and is of special interest in applications where the shock continues to strengthen due to a narrowing of its channel or the…

Fluid Dynamics · Physics 2023-12-27 Tamar Faran , Christopher D. Matzner , Eliot Quataert

We consider incompressible flows between two transversely vibrating solid walls and construct an asymptotic expansion of solutions of the Navier-Stokes equations in the limit when both the amplitude of vibrations and the thickness of the…

Fluid Dynamics · Physics 2011-08-16 Konstantin Ilin , Andrey Morgulis

We describe here an experimental technique based on the acoustic scattering phenomenon allowing the direct probing of the vorticity field in a turbulent flow. Using time-frequency distributions, recently introduced in signal analysis…

chao-dyn · Physics 2009-10-31 Christophe Baudet , Olivier Michel , William J. Williams

A two dimensional flow model is introduced with deterministic behavior consisting of bursts which become successively larger, with longer interburst time intervals between them. The system is symmetric in one variable x and there are bursts…

Chaotic Dynamics · Physics 2009-11-11 J. M. Finn , E. R. Tracy , W. E. Cooke , A. S. Richardson

A special version of multi--dimensional simple waves given in [G. Boillat, {\it J. Math. Phys.} {\bf 11}, 1482-3 (1970)] and [G.M. Webb, R. Ratkiewicz, M. Brio and G.P. Zank, {\it J. Plasma Phys.} {\bf 59}, 417-460 (1998)] is employed for…

Fluid Dynamics · Physics 2011-12-30 T. Sahihi , H. Eshraghi , A. Mahdipour-Shirayeh

In this work, we investigate both numerically and theoretically the sound generated by entropy waves passing through sudden area expansions. The numerical approach is based on a triple decomposition of the flow variables into a steady mean,…

Fluid Dynamics · Physics 2022-09-28 Juan Guzmán-Iñigo , Dong Yang , Renaud Gaudron , Aimee S. Morgans

Dense suspensions have previously been shown to produce a range of anomalous and gravity-defying behaviors when subjected to strong vibrations in the direction of gravity. These behaviors have previously been interpreted via analogies to…

Soft Condensed Matter · Physics 2022-06-29 Xingjian Hou , Joseph D. Peterson

We compute the linearised dispersion relations of shear waves, heat waves, and sound waves in relativistic ''matter+radiation'' fluids with grey absorption opacities. This is done by solving radiation hydrodynamics perturbatively in the…

High Energy Astrophysical Phenomena · Physics 2025-01-22 Lorenzo Gavassino
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