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Hydrodynamic expansion of the hot fireball created in relativistic Au-Au collisions at 200GeV in 3+1-dimensions is studied. We obtain a simultaneous, satisfactory description of the transverse momentum spectra, elliptic flow and pion…

Nuclear Theory · Physics 2009-05-01 Piotr Bozek , Iwona Wyskiel

We revisit the general analytic solution space for relativistic $(1+1)$-dimensional hydrodynamics for a perfect fluid flowing along the longitudinal direction. We work out the explicit one-parameter family of interpolating flows between…

High Energy Physics - Theory · Physics 2025-08-12 Aritra Banerjee , Abir Ghosh

We present algorithms to solve relativistic hydrodynamics in 3+1--dimensional situations without apparent symmetry to simplify the solution. In simulations of heavy--ion collisions, these numerical schemes have to deal with the physical…

Nuclear Theory · Physics 2009-10-28 Dirk H. Rischke , Stefan Bernard , Joachim A. Maruhn

In hydrodynamical modelling of ultrarelativistic heavy-ion collisions the freeze-out is typically assumed to take place on a surface of constant temperature or energy density. In this work we apply a dynamical freeze-out criterion, which…

Nuclear Theory · Physics 2015-06-17 Hannu Holopainen , Pasi Huovinen

A new universal theory for flow instability and turbulent transition is proposed in this study. Flow instability and turbulence transition have been challenging subjects for fluid dynamics for a century. The critical condition of turbulent…

Chaotic Dynamics · Physics 2009-09-29 Hua-Shu Dou

The di-hadron angular correlation function is computed within boost invariant, ideal hydrodynamics for Au+Au collisions at $\sqrt{s}_{NN}=200$ GeV using Monte Carlo Glauber fluctuating initial conditions. When $0<p_T< 3$ GeV, the intensity…

Nuclear Theory · Physics 2013-10-30 R. P. G. Andrade , J. Noronha

We consider the generalized hydrodynamics including the recently introduced diffusion term for an initially inhomogeneous state in the Lieb-Liniger model. We construct a general solution to the linearized hydrodynamics equation in terms of…

Quantum Gases · Physics 2020-01-16 Miłosz Panfil , Jacek Pawełczyk

Majority of theoretical results regarding turbulent mixing are based on the model of ideal flows with zero correlation time. We discuss the reasons why such results may fail for real flows and develop a scheme which makes it possible to…

Fluid Dynamics · Physics 2016-02-05 Siim Ainsaar , Mihkel Kree , Jaan Kalda

We use leading order effective kinetic theory to simulate the pre\nobreakdash-equilibrium evolution of transverse energy and flow perturbations in heavy-ion collisions. We provide a Green function which propagates the initial perturbations…

Nuclear Theory · Physics 2017-05-24 Aleksas Mazeliauskas

Three dimensional unsteady flow of fluids in the Lagrangian description is considered as an autonomous dynamical system in four dimensions. The condition for the existence of a symplectic structure on the extended space is the frozen field…

solv-int · Physics 2009-10-30 H. Gumral

We employ an effective kinetic description, based on the Boltzmann equation in the relaxation time approximation, to study the space-time dynamics and development of transverse flow of small and large collision systems. By combining…

High Energy Physics - Phenomenology · Physics 2022-02-09 Victor E. Ambrus , S. Schlichting , C. Werthmann

A rigorous method for introducing the variational principle describing relativistic ideal hydrodynamic flows with all possible types of discontinuities (including shocks) is presented in the framework of an exact Clebsch type representation…

Fluid Dynamics · Physics 2007-05-23 A. V. Kats , J. Juul Rasmussen

We review the formulation of Landau hydrodynamics and find that the rapidity distribution of produced particles in the center-of-mass system should be more appropriately modified as dN/dy \exp[\sqrt{y_b^2-y^2}], where…

High Energy Physics - Phenomenology · Physics 2008-11-26 Cheuk-Yin Wong

Development of a new framework for derivation of order-by-order hydrodynamics from Boltzmann equation is necessary as the widely used Anderson-Witting formalism leads to violation of fundamental conservation laws when the relaxation-time…

Nuclear Theory · Physics 2022-06-07 Dipika Dash , Samapan Bhadury , Sunil Jaiswal , Amaresh Jaiswal

We extend our previous analysis of holographic heavy ion collisions in non-conformal theories. We provide a detailed description of our numerical code. We study collisions at different energies in gauge theories with different degrees of…

The IP-Glasma initial condition has been highly successful in the phenomenology of ultra-relativistic heavy ion collisions. The assumption of boost invariance, however, while good for collision energies probed at the LHC, limits the use of…

High Energy Physics - Phenomenology · Physics 2023-06-09 Scott McDonald , Sangyong Jeon , Charles Gale

We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture undergoing phase separation with full hydrodynamics in two dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite…

Statistical Mechanics · Physics 2009-11-11 P. Stansell , K. Stratford , J. -C. Desplat , R. Adhikari , M. E. Cates

Turbulent flows driven by a vertically invariant body force were proven to become exactly two-dimensional above a critical rotation rate, using upper bound theory. This transition in dimensionality of a turbulent flow has key consequences…

Fluid Dynamics · Physics 2023-07-19 Kannabiran Seshasayanan , Basile Gallet

The initial distribution of gluons at the very early times after a high energy heavy ion collision is described by the bulk scale $Q_s$ of gluon saturation in the nuclear wavefunction. The subsequent evolution of the system towards kinetic…

High Energy Physics - Phenomenology · Physics 2010-11-30 Jefferson Bjoraker , Raju Venugopalan

The idea that the parton system created in relativistic heavy-ion collisions (i) emerges in a state with transverse momenta close to thermodynamic equilibrium and (ii) its evolution at early times is dominated by the 2-dimensional…

Nuclear Theory · Physics 2008-11-26 A. Bialas , M. Chojnacki , W. Florkowski
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