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We present a geometrical derivation of the relativistic dynamics of the superfluid inner crust of a neutron star. The resulting model is analogous to the Hall-Vinen-Bekarevich-Khalatnikov hydrodynamics for a single-component superfluid at…

High Energy Astrophysical Phenomena · Physics 2021-02-23 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

We study isentropic fluid flows of gases of the Forchheimer-type in heterogeneous porous media. The governing equation is a doubly nonlinear parabolic equation with coefficients depending on the spatial variables. Its solutions are subject…

Analysis of PDEs · Mathematics 2025-05-20 Emine Celik , Luan Hoang , Thinh Kieu

After a short introduction to the UV/IR mixing in non-commutative field theories we review the properties of scalar quasi-particles in non-commutative supersymmetric gauge theories at finite temperature. In particular we discuss the…

High Energy Physics - Theory · Physics 2007-05-23 Karl Landsteiner

We use standard techniques of hydrodynamics to construct a relativistic effective field theory for the low energy dynamics of nearly critical superfluids. In an appropriate non-relativistic limit, our theory predicts an additional…

High Energy Physics - Theory · Physics 2025-12-24 Aristomenis Donos , Polydoros Kailidis

We investigate superfluidity, and the mechanism for creation of quantized vortices, in the relativistic regime. The general framework is a nonlinear Klein-Gordon equation in curved spacetime for a complex scalar field, whose phase dynamics…

High Energy Physics - Theory · Physics 2014-12-24 Chi Xiong , Michael R. R. Good , Yulong Guo , Xiaopei Liu , Kerson Huang

Hydrodynamic projections, the projection onto conserved charges representing ballistic propagation of fluid waves, give exact transport results in many-body systems, such as the exact Drude weights. Focussing one one-dimensional systems, I…

Statistical Mechanics · Physics 2022-02-17 Benjamin Doyon

We study holographic three-dimensional fluids with vorticity in local equilibrium and discuss their relevance to analogue gravity systems. The Fefferman-Graham expansion leads to the fluid's description in terms of a comoving and rotating…

High Energy Physics - Theory · Physics 2015-06-05 Robert G. Leigh , Anastasios C. Petkou , P. Marios Petropoulos

Fluid analog models for gravity are based on the idea that any spacetime geometry admits a reinterpretation in which space is thought of as a fluid flowing with a prescribed velocity. This fluid picture is a restatement of the ADM…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Pablo Garza , Daniel Kabat , Ariana van Gelder

Hydrodynamic surface waves propagating on a moving background flow experience an effective curved space-time. We discuss experiments with gravity waves and capillary-gravity waves in which we study hydrodynamic black/white-hole horizons and…

Fluid Dynamics · Physics 2014-01-21 J. Chaline , G. Jannes , P. Maïssa , G. Rousseaux

We analyze particle velocity fluctuations in a simulated granular system subjected to homogeneous quasistatic shearing. We show that these fluctuations share the following scaling characteristics of fluid turbulence in spite of their…

Soft Condensed Matter · Physics 2009-11-07 F. Radjai , S. Roux

The super Moyal-Lax representation and the super Moyal momentum algebra are introduced and the properties of simple and extended supersymmetric integrable models are systematically investigated. It is shown that, much like in the bosonic…

High Energy Physics - Theory · Physics 2009-11-07 Ashok Das , Ziemowit Popowicz

Hydrodynamics is the appropriate "effective theory" for describing any fluid medium at sufficiently long length scales. This paper treats the vacuum as such a medium and derives the corresponding hydrodynamic equations. Unlike a normal…

High Energy Physics - Phenomenology · Physics 2016-07-01 P. M. Stevenson

We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be…

High Energy Physics - Theory · Physics 2018-07-04 Benjamin Withers

The present work investigates the evolution of linear perturbations of time-dependent ideal fluid flows with advected quantities, expressed in terms of the second order variations of the action corresponding to a Lagrangian defined on a…

Fluid Dynamics · Physics 2024-04-02 Darryl D. Holm , Ruiao Hu , Oliver D. Street

The hydrodynamic vortex, an effective spacetime geometry for propagating sound waves, is studied analytically. In contrast with the familiar Kerr black-hole spacetime, the hydrodynamic vortex model is described by an effective acoustic…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

Theoretical description of liquids has been primarily based on the hydrodynamic approach and its generalization to the solid-like regime. We show that the same liquid properties can be derived starting from solid-like equations and…

Statistical Mechanics · Physics 2017-12-28 K. Trachenko

We combine a heuristic theory of geometric percolation and the Smoluchowski theory of colloid dynamics to predict the impact of shear flow on the percolation threshold of hard spherical colloidal particles, and verify our findings by means…

Soft Condensed Matter · Physics 2022-03-28 Ilian Pihlajamaa , René de Bruijn , Paul van der Schoot

"Acoustic spacetimes", in which techniques of differential geometry are used to investigate sound propagation in moving fluids, have attracted considerable attention over the last few decades. Most of the models currently considered in the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Matt Visser , Carmen Molina-Paris

Hydrodynamic interactions are transmitted by viscous diffusion and sound propagation: the temporal evolution of hydrodynamic interactions by both mechanisms is studied by direct numerical simulation in this paper. The hydrodynamic…

Soft Condensed Matter · Physics 2015-06-12 Rei Tatsumi , Ryoichi Yamamoto

The longitudinal dynamics of an intense high energy beam moving in a resonator cavity has been studied in some detail. Through the method of separation of variables and its obvious straightforward generalization, a solution of the Vlasov…

Plasma Physics · Physics 2024-11-25 Stephan I. Tzenov , Anton A. Volodin
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