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Related papers: Asymptotics of superfluid Bjorken flow

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The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothermal model is then investigated analytically. A fairly…

Analysis of PDEs · Mathematics 2015-04-07 Matthias Hieber , Jan Pruess

The Bhatnagar-Gross-Krook (BGK) model of the Boltzmann equation allows for efficient flow simulations, especially in the transition regime between continuum and high rarefaction. However, ensuring efficient performances for multiscale…

Fluid Dynamics · Physics 2025-05-09 Félix Garmirian , Marcel Pfeiffer

We reformulate the Boltzmann equation in the relaxation time approximation undergoing Bjorken flow in terms of a novel partial differential equation for the generating function of the moments of the distribution function. This is used to…

Nuclear Theory · Physics 2024-01-15 Inês Aniceto , Jorge Noronha , Michał\ Spaliński

The quark-gluon plasma created in a relativistic heavy-ion collisions possesses a sizable pressure anisotropy in the local rest frame at very early times after the initial nuclear impact and this anisotropy only slowly relaxes as the system…

Nuclear Theory · Physics 2017-03-27 Michael Strickland

A system of equations of anisotropic hydrodynamics that describes mixture of quark and gluon fluids is studied. The equations are based on the zeroth, first, and second moments of the RTA kinetic equations. Tests of this formulation are…

Nuclear Theory · Physics 2017-08-10 Ewa Maksymiuk

We present a series of analytically solvable axisymmetric flows on the torus geometry. For the single-component flows, we describe the propagation of sound waves for perfect fluids, as well as the viscous damping of shear and longitudinal…

Fluid Dynamics · Physics 2020-09-02 Sergiu Busuioc , Halim Kusumaatmaja , Victor E. Ambruş

We study the superfluid properties of (quasi) one-dimensional bosonic atom gases/liquids in traps with finite geometries in the presence of strong quantum fluctuations. Driving the condensate with a moving defect we find the nucleation rate…

Soft Condensed Matter · Physics 2009-10-31 H. P. Büchler , V. B. Geshkenbein , G. Blatter

We study the asymptotic behaviour, as time goes to infinity, of the Fisher-KPP equation $\partial_t u=\Delta u +u-u^2$ in spatial dimension $2$, when the initial condition looks like a Heaviside function. Thus the solution is,…

Analysis of PDEs · Mathematics 2017-02-28 Jean-Michel Roquejoffre , Violaine Roussier-Michon

The spontaneous symmetry breaking taking place in the direction perpendicular to the energy flux in a dilute vibrofluidized granular system is investigated, using both a hydrodynamic description and simulation methods. The latter include…

Statistical Mechanics · Physics 2009-11-07 J. Javier Brey , M. J. Ruiz-Montero , F. Moreno , R. Garcia-Rojo

Elliptic flow ($v_2$) fluctuations in central heavy-ion collisions are direct probes of the fluctuating geometry of the quark-gluon plasma, and, as such, are strongly sensitive to any deviation from spherical symmetry in the shape of the…

Nuclear Theory · Physics 2019-03-05 Giuliano Giacalone

We compute the time evolution of the non-equilibrium entropy in the homogeneous isotropization dynamics of the 1RCBH model, which has a critical point in its conformal phase diagram defined at finite temperature and R-charge density. We…

High Energy Physics - Theory · Physics 2025-06-13 Romulo Rougemont , Willians Barreto

We investigate the liquid state structure of the two-dimensional (2D) model introduced by Barkan et al. [Phys. Rev. Lett. 113, 098304 (2014)], which exhibits quasicrystalline and other unusual solid phases, focussing on the radial…

Soft Condensed Matter · Physics 2018-09-03 M. C. Walters , P. Subramanian , A. J. Archer , R. Evans

We use quasiparticle anisotropic hydrodynamics to study the non-conformal and non-extensive dynamics of a system undergoing boost-invariant Bjorken expansion. To introduce nonextensivity, we use an underlying Tsallis distribution with a…

Nuclear Theory · Physics 2022-11-23 Mubarak Alqahtani , Nasser Demir , Michael Strickland

We study the one-dimensional, longitudinally boost-invariant motion of an ideal fluid with infinite conductivity in the presence of a transverse magnetic field, i.e., in the ideal transverse magnetohydrodynamical limit. In an extension of…

Nuclear Theory · Physics 2016-04-27 Shi Pu , Victor Roy , Luciano Rezzolla , Dirk H. Rischke

Non-equilibrium fluid dynamics derived from the extended irreversible thermodynamics of the causal M\"uller--Israel--Stewart theory of dissipative processes in relativistic fluids based on Grad's moment method is applied to the study of the…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

In this letter, we demonstrate for the first time that the moment expansion for an ultrarelativistic gas undergoing Bjorken flow diverges. We then show how this series can be resummed using the Borel-Pad\'e method and use this to determine…

Nuclear Theory · Physics 2025-03-04 Caio V. P. de Brito , David Wagner , Gabriel S. Denicol , Dirk H. Rischke

Centrality, rapidity, and transverse momentum dependence of hadron elliptic flow is studied in Au+Au collisions at BNL RHIC energies within the microscopic quark-gluon string model. The QGSM predictions coincide well with the experimental…

Nuclear Theory · Physics 2009-11-07 E. E. Zabrodin , C. Fuchs , L. V. Bravina , Amand Faessler

Using the method of prolongation we generate new solutions from a simple particular solution for relativistic transverse flow with cylindrical symmetry in 1+3 dimensions. This is an extension of the longitudinal Bjorken flow ansatz and can…

Nuclear Theory · Physics 2009-11-06 Tamas S. Biro

We derive sum rules for a uniform, isotropic superfluid quark-gluon plasma with massless quarks, first laying out the phenomenological equations obeyed by a color superconductor in terms of macroscopic observables such as the superfluid…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kei Iida , Gordon Baym

We address the asymptotic behavior of the $\alpha$-Gauss curvature flow, for $\alpha >1/2$, with initial data a complete non-compact convex hypersurface which is contained in a cylinder of bounded cross section. We show that the flow…

Differential Geometry · Mathematics 2022-01-13 Beomjun Choi , Kyeongsu Choi , Panagiota Daskalopoulos