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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 show that at any temperature, the low-energy (with respect to the chemical potential) collective excitations of the transverse components of the energy-momentum tensor and the global U(1) current in the field theory dual to the planar…

High Energy Physics - Theory · Physics 2013-07-11 Richard A. Davison , Andrei Parnachev

This survey summarizes and illustrates the main qualitative properties of hydrodynamics models for collective behavior. These models include a velocity consensus term together with attractive-repulsive potentials leading to non-trivial…

Analysis of PDEs · Mathematics 2020-10-05 José A. Carrillo , Young-Pil Choi , Sergio P. Perez

The AdS/CFT correspondence, or holography, has provided numerous important insights into the behavior of strongly-coupled many-body systems. Crucially, it has provided a testing ground for the construction of new effective field theories,…

High Energy Physics - Theory · Physics 2024-07-24 Markus A. G. Amano , Casey Cartwright , Matthias Kaminski , Jackson Wu

Event-by-event hydrodynamic simulations of AA and pA collisions involve initial energy densities with large spatial gradients. This is associated with the presence of large Knudsen numbers ($K_n\approx 1$) at early times, which may lead one…

Nuclear Theory · Physics 2016-11-23 Jacquelyn Noronha-Hostler , Jorge Noronha , Miklos Gyulassy

One of the many physical questions that have emerged from studies of heavy-ion collisions at RHIC and the LHC concerns the validity of hydrodynamic modelling at the very early stages, when the Quark-Gluon Plasma system produced is still far…

Nuclear Theory · Physics 2023-08-24 Jakub Jankowski , Michał Spaliński

We consider a simple model of an internally driven self-rotating object; a rotor, confined to two dimensions by a thin film of low Reynolds number fluid. We undertake a detailed study of the hydrodynamic interactions between a pair of…

Soft Condensed Matter · Physics 2015-05-20 M. Leoni , T. B. Liverpool

We use molecular dynamics computer simulations and nuclear magnetic resonance experiments to investigate the dynamics of water at interfaces of molecular roughness and low mobility. We find that, when approaching such interfaces, the…

Soft Condensed Matter · Physics 2014-07-22 Markus Rosenstihl , Kerstin Kämpf , Felix Klameth , Matthias Sattig , Michael Vogel

Radiation hydrodynamics simulations based on the one-fluid two-temperature model may violate the law of energy conservation because the governing equations are expressed in a nonconservative formulation. Here, we maintain the important…

Plasma Physics · Physics 2018-03-09 Takashi Shiroto , Soshi Kawai , Naofumi Ohnishi

We exactly solve the relaxation-time approximation Boltzmann equation for a system which is transversely homogeneous and undergoing boost-invariant longitudinal expansion. We compare the resulting exact numerical solution with approximate…

Nuclear Theory · Physics 2013-09-27 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

One manifestation of quantum chaos is a random-matrix-like fine-grained energy spectrum. Prior to the inverse level spacing time, random matrix theory predicts a `ramp' of increasing variance in the connected part of the spectral form…

Statistical Mechanics · Physics 2022-03-15 Michael Winer , Brian Swingle

Quantum mechanical equations of motion are strictly linear in state descriptors, such as wavefunctions and density matrices, but equations describing chemical kinetics and hydrodynamics may be non-linear in concentrations. This…

Chemical Physics · Physics 2025-05-06 Anupama Acharya , Madhukar Said , Sylwia J. Barker , Marcel Utz , Bruno Linclau , Ilya Kuprov

The one-dimensional non-boost-invariant evolution of the quark-gluon plasma, presumably produced during the early stages of heavy-ion collisions, is analyzed within the frameworks of viscous and anisotropic hydrodynamics. We neglect…

Nuclear Theory · Physics 2016-12-21 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

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 investigate the hydrodynamic properties of a fluid simulated with a mesoscopic solvent model. Two distinct regimes are identified, the `particle regime' in which the dynamics is gas-like, and the `collective regime' where the dynamics is…

Soft Condensed Matter · Physics 2009-11-11 M. Ripoll , K. Mussawisade , R. G. Winkler , G. Gompper

We describe a new theoretical and numerical framework of the magnetohydrodynamic simulation incorporated with an anisotropic pressure tensor, which can play an important role in a collisionless plasma. A classical approach to handle the…

Plasma Physics · Physics 2016-11-23 Kota Hirabayashi , Masahiro Hoshino , Takanobu Amano

We study the transition from the collisionless to the hydrodynamic regime in a two-component spin-polarized mixture of 40K atoms by exciting its dipolar oscillation modes inside harmonic traps. The time evolution of the mixture is described…

Condensed Matter · Physics 2007-05-23 F. Toschi , P. Capuzzi , S. Succi , P. Vignolo , M. P. Tosi

This paper presents an alternative formulation of the ASPH algorithm for evolving anisotropic smoothing kernels, in which the geometric approach of Shapiro et al. (1996; Paper I) is replaced by an approach involving a local transformation…

Astrophysics · Physics 2015-06-24 J. Michael Owen , Jens V. Villumsen , Paul R. Shapiro , Hugo Martel

This paper presents $v_{4}/v_{2}^2$ ratio as a function of transverse momentum ($p_{t}$), pseudorapidity ($\eta$) and collision centrality in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV using the STAR detector at the Relativistic Heavy…

Nuclear Experiment · Physics 2009-11-11 A. H. Tang

We consider a plasma of massless particles undergoing Bjorken expansion, mimicking the matter created in ultra-relativistic heavy ion collisions. We study the transition to hydrodynamics using kinetic theory in the relaxation time…

Nuclear Theory · Physics 2021-11-24 Jean-Paul Blaizot , Li Yan
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