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We study the evolution of hydrodynamic and non-hydrodynamic moments of the distribution function using anisotropic and third-order Chapman-Enskog hydrodynamics for systems undergoing Bjorken and Gubser flows. The hydrodynamic results are…

Nuclear Theory · Physics 2018-06-20 Chandrodoy Chattopadhyay , Ulrich Heinz , Subrata Pal , Gojko Vujanovic

Magnetohydrodynamic (MHD) and two-fluid quasi-neutral equilibria with azimuthal symmetry, gravity and arbitrary ratios of (nonrelativistic) flow speed to acoustic and Alfven speeds are investigated. In the two-fluid case, the mass ratio of…

Astrophysics · Physics 2015-06-24 K. G. McClements , A. Thyagaraja

In ultrarelativistic heavy-ion collisions, the Fourier decomposition of the relative azimuthal angle, \Delta \phi, distribution of particle pairs yields a large cos(3\Delta \phi) component, extending out to large rapidity separations \Delta…

Nuclear Theory · Physics 2010-10-06 Burak Han Alver , Clement Gombeaud , Matthew Luzum , Jean-Yves Ollitrault

Formally second-order correct, mathematical descriptions of long-crested water waves propagating mainly in one direction are derived. These equations are analogous to the first-order approximations of KdV- or BBM-type. The advantage of…

Analysis of PDEs · Mathematics 2017-05-02 J. L. Bona , X. Carvajal , M. Panthee , M. Scialom

The LHC data on event-by-event harmonic flow coefficients measured in PbPb collisions at center-of-mass energy 2.76 TeV per nucleon pair are analyzed and interpreted within the HYDJET++ model. To compare the model results with the…

High Energy Physics - Phenomenology · Physics 2015-12-29 L. V. Bravina , E. S. Fotina , V. L. Korotkikh , I. P. Lokhtin , L. V. Malinina , E. N. Nazarova , S. V. Petrushanko , A. M. Snigirev , E. E. Zabrodin

The spatial configuration of initial partons in high-multiplicity proton-proton scatterings at 14 TeV is assumed as three randomly positioned "hot spots". The parton momentum distribution in the hot spots is calculated by HIJING2.0 with…

High Energy Physics - Phenomenology · Physics 2015-06-03 Wei-Tian Deng , Zhe Xu , Carsten Greiner

This paper presents a model for quasi two-dimensional MHD flows between two planes with small magnetic Reynolds number and constant transverse magnetic field orthogonal to the planes. A method is presented that allows to take 3D effects…

Fluid Dynamics · Physics 2020-06-30 Alban Pothérat , Joël Sommeria , René Moreau

Data from the Large Hadron Collider on elliptic flow correlations at low and high $p_T$ from Pb+Pb collisions at $\sqrt{s_{NN}} = 5.02$~TeV are analyzed and interpreted in the framework of the HYDJET++ model. This model allows us to…

A hydrodynamic model coupled to the statistical hadronization code Therminator is used to study a set of observables in the soft sector at RHIC. A satisfactory description of the pT-spectra and elliptic flow is obtained, similarly to other…

Nuclear Theory · Physics 2009-11-18 W. Florkowski , W. Broniowski , M. Chojnacki , A. Kisiel

Within the theoretical framework of divergence-type theories (DTTs), we set up a consistent nonlinear hydrodynamical description of a conformal fluid in flat space-time. DTTs go beyond second-order (in velocity gradients) theories, and are…

High Energy Physics - Phenomenology · Physics 2010-04-30 J. Peralta-Ramos , E. Calzetta

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are…

Nuclear Theory · Physics 2015-07-29 Leonardo Tinti

We describe a method of implementing the axisymmetric evolution of general-relativistic hydrodynamics and magnetohydrodynamics through modification of a multipatch grid scheme. In order to ease the computational requirements required to…

A class of elliptic-hyperbolic equations is placed in the context of a geometric variational theory, in which the change of type is viewed as a change in the character of an underlying metric. A fundamental example of a metric which changes…

Mathematical Physics · Physics 2009-11-13 Thomas H. Otway

We define a natural extension of pluriclosed flow aiming at constructing solutions of the Hull-Strominger system. We give several geometric formulations of this flow, which yield a series of a priori estimates for the flow and also for the…

Differential Geometry · Mathematics 2024-08-22 Mario Garcia-Fernandez , Raul Gonzalez Molina , Jeffrey Streets

We review the entropy based derivation of third-order hydrodynamic equations and compare their solutions in one-dimensional boost-invariant geometry with calculations by the partonic cascade BAMPS. We demonstrate that Grad's approximation,…

High Energy Physics - Phenomenology · Physics 2014-11-20 Andrej El , Zhe Xu , Carsten Greiner

We show that a class of exactly solvable quantum Ising models, including the transverse-field Ising model and anisotropic XY model, can be characterized as the loops in a two-dimensional auxiliary space. The transverse-field Ising model…

Quantum Physics · Physics 2016-05-30 G. Zhang , Z. Song

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

Earth and Planetary Astrophysics · Physics 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

We derive the equations of motion for a system undergoing boost-invariant longitudinal and azimuthally-symmetric transverse "Gubser flow" using leading-order anisotropic hydrodynamics. This is accomplished by assuming that the one-particle…

Nuclear Theory · Physics 2015-02-05 Mohammad Nopoush , Radoslaw Ryblewski , Michael Strickland

Anisotropic flow and fluctuations are sensitive observables of the initial state effects in heavy ion collisions and are characterized by the medium properties and final state interactions. Using event-shape observables, one can constrain…

Nuclear Theory · Physics 2025-07-29 Suraj Prasad , Aswathy Menon K R , Raghunath Sahoo , Neelkamal Mallick

The space of high-beta, approximately quasiaxisymmetric, large-aspect-ratio stellarator configurations is explored using an inverse coordinate approach and a quadratic polynomial ansatz for the flux function, following the method of…

Plasma Physics · Physics 2025-09-24 Andrew Brown , Wrick Sengupta , Nikita Nikulsin , Amitava Bhattacharjee