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We derive the hydrodynamic equations for the supersolid and superhexatic phases of a neutral two-dimensional Bose fluid. We find, assuming that the normal part of the fluid is clamped to an underlying substrate, that both phases can sustain…

Condensed Matter · Physics 2009-10-28 H. T. C. Stoof , K. Mullen , M. Wallin , S. M. Girvin

We study an exact rotating and expanding solution of the fluid dynamical model of heavy ion reactions, that take into account the rate of slowing down of the rotation due to the longitudinal and transverse expansion of the system. The…

Nuclear Theory · Physics 2015-09-02 S. Velle , L. P. Csernai

We present a new method for analyzing directed and elliptic flow in heavy ion collisions. Unlike standard methods, it separates the contribution of flow to azimuthal correlations from contributions due to other effects. The separation…

Nuclear Theory · Physics 2008-11-26 Nicolas Borghini , Phuong Mai Dinh , Jean-Yves Ollitrault

The relative correlation between the magnitudes of elliptic flow ($v_2$) and triangular flow ($v_3$) has been accurately measured in nucleus-nucleus collisions at the LHC collider. As a function of the centrality of the collision, it…

Nuclear Theory · Physics 2025-12-08 Mubarak Alqahtani , Jean-Yves Ollitrault

It is shown that the structure of non-equilibrium thermodynamic system far from equilibrium can be captured in terms of a generalized "Nambu dynamics", in the presence of fluctuation effects in non-equilibrium thermodynamics. Triangular…

Statistical Mechanics · Physics 2024-12-31 So Katagiri , Yoshiki Matsuoka , Akio Sugamoto

Two-fluid flowing equilibrium configurations of a helicity-driven spherical torus (HD-ST) are numerically determined by using the combination of the finite difference and the boundary element methods. It is found from the numerical results…

Plasma Physics · Physics 2015-06-26 T. Kanki , M. Nagata , T. Uyama

A hybrid model of the Vlasov equation in multiple spatial dimension $D>1$ [H. A. Rose and W. Daughton, Physics of Plasmas v. 18, 122109 (2011)], the Vlasov multi dimensional model (VMD), consists of standard Vlasov dynamics along a…

Plasma Physics · Physics 2015-06-18 Pavel M. Lushnikov , Harey A. Rose , Denis A. Silantyev , Natalia Vladimirova

We present the implementation of an implicit-explicit (IMEX) Runge-Kutta numerical scheme for general relativistic hydrodynamics coupled to an optically thick radiation field in two existing GR-hydrodynamics codes. We argue that the…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Constanze Roedig , Olindo Zanotti , Daniela Alic

By using holographic methods, the radii of convergence of the hydrodynamic shear and sound dispersion relations were previously computed in the ${\cal N} = 4$ supersymmetric Yang-Mills theory at infinite 't Hooft coupling and infinite…

High Energy Physics - Theory · Physics 2023-08-10 Sašo Grozdanov , Andrei O. Starinets , Petar Tadić

A well-balanced second-order finite volume scheme is proposed and analyzed for a 2 X 2 system of non-linear partial differential equations which describes the dynamics of growing sandpiles created by a vertical source on a flat, bounded…

Numerical Analysis · Mathematics 2024-01-04 Aekta Aggarwal , Veerappa Gowda G. D. , Sudarshan Kumar K

Collective anisotropic particle flow, a general phenomenon present in relativistic heavy-ion collisions, can be separated from direct particle-particle correlations of different physics origin by virtue of its specific azimuthal pattern. We…

Nuclear Experiment · Physics 2009-11-10 J. Bielcikova , S. Esumi , K. Filimonov , S. Voloshin , J. P. Wurm

Two particle correlations are studied in the reaction plane of peripheral relativistic heavy ion reactions where the initial state has substantial angular momentum. The earlier predicted rotation effect and Kelvin Helmholtz Instability,…

Nuclear Theory · Physics 2013-05-06 L. P. Csernai , S. Velle

We propose a differential hydrodynamic response relation, $V_2(\zeta)=\int d\xi G(\zeta-\xi) \mathcal{E}_2(\xi)$, to describe the formation of a pseudorapidity dependent elliptic flow in heavy-ion collisions, in response to a fluctuating…

Nuclear Theory · Physics 2020-01-31 Hui Li , Li Yan

Peripheral heavy ion reactions at ultra relativistic energies have large angular momentum that can be studied via two particle correlations using the Differential Hanbury Brown and Twiss method. In the present work we analyze the…

Nuclear Theory · Physics 2014-07-29 L. P. Csernai , S. Velle

In many simulations of high-energy heavy-ion collisions on an event-by-event analysis, it is known that the initial energy density distribution in the transverse plane is highly fluctuating. Subsequent longitudinal expansion will lead to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Wei-Ning Zhang , Yan-Yu Ren , Cheuk-Yin Wong

The ALICE and CMS Collaborations have analyzed a number of cumulants mixing elliptic flow ($v_2$) and triangular flow ($v_3$), involving up to $8$ particles, in Pb+Pb collisions at the LHC. We unravel an unexpected simplicity in these…

Nuclear Theory · Physics 2026-05-26 Mubarak Alqahtani , Jean-Yves Ollitrault

In this work we show that, under certain conditions, parametric Backlund transformations (BTs) for a finite dimensional integrable system can be interpreted as solutions to the equations of motion defined by an associated non-autonomous…

Exactly Solvable and Integrable Systems · Physics 2015-06-05 Federico Zullo

We present a differential measurement of the azimuthal anisotropy of charged hadron production in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}$=2.76 TeV. This azimuthal anisotropy is expanded into a Fourier series in azimuthal angle, where…

Nuclear Experiment · Physics 2019-08-13 Jiangyong Jia

Utilizing a second-order hydrodynamics formalism, the dispersion relations for the frequencies and damping rates of collective oscillations as well as spatial structure of these modes up to the decapole oscillation in both two- and three-…

Quantum Gases · Physics 2017-02-24 William E. Lewis , Paul Romatschke

We search for non-trivial relativistic solutions of the hydrodynamic equations with quasi-inertial flows such as in the Bjorken-like models. The problem is analyzed in general and the known results are reproduced by a method proposed. A new…

Nuclear Theory · Physics 2007-05-23 Yu. M. Sinyukov , Iu. A. Karpenko