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The existence of hydrodynamic attractors in rapidly expanding relativistic systems has shed light on the success of relativistic hydrodynamics in describing heavy-ion collisions at zero chemical potential. As the search for the QCD critical…

Nuclear Theory · Physics 2020-12-30 Travis Dore , Emma McLaughlin , Jacquelyn Noronha-Hostler

We determine the dynamical attractors associated with anisotropic hydrodynamics (aHydro) and the DNMR equations for a 0+1d conformal system using kinetic theory in the relaxation time approximation. We compare our results to the…

Nuclear Theory · Physics 2018-02-28 Michael Strickland , Jorge Noronha , Gabriel Denicol

In this work we introduce the generic conditions for the existence of a non-equilibrium attractor that is an invariant manifold determined by the long-wavelength modes of the physical system. We investigate the topological properties of the…

High Energy Physics - Theory · Physics 2020-08-10 Alireza Behtash , Syo Kamata , Mauricio Martinez , Haosheng Shi

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

Using molecular dynamics simulations, we have determined that the nature of dynamical heterogeneity in jammed liquids is very sensitive to short-ranged attractions. Weakly attractive systems differ little from dense hard-sphere and…

Soft Condensed Matter · Physics 2007-05-23 David R. Reichman , Eran Rabani , Phillip L. Geissler

Deciphering the origin of collective phenomena in small colliding systems is one of contemporary focuses in heavy-ion physics. It entails penetrating the barrier between two previously separated research topics:…

High Energy Physics - Phenomenology · Physics 2020-09-11 Bin Wu

We present a novel formulation of the IP-Glasma initial state model in 3+1D in which the 2+1D boost invariant IP-Glasma is generalized through JIMWLK rapidity evolution of the pre-collision Wilson lines \cite{Schenke:2016ksl}. In order to…

Nuclear Theory · Physics 2019-02-20 Scott McDonald , Sangyong Jeon , Charles Gale

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

A 1+1 dimensional hydrodynamical model in the light-cone coordinates is used to describe central heavy-ion collisions at ultrarelativistic bombarding energies. Deviations from Bjorken's scaling are taken into account by choosing finite-size…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. M. Satarov , I. N. Mishustin , A. V. Merdeev , H. Stoecker

A review of the recent progress of relativistic hydrodynamic attractors is presented, with a focus on applications in heavy ion collisions and the quark gluon plasma. Pedagogical introductions to the effective descriptions relevant for…

High Energy Physics - Theory · Physics 2022-04-27 Alexander Soloviev

We report on the existence of a hydrodynamic attractor in the Mueller-Israel-Stewart framework of a fluid living in the novel geometry discovered recently by Grozdanov. This geometry, corresponding to a hyperbolic slicing of…

High Energy Physics - Theory · Physics 2026-03-17 Alexander Soloviev

In this proceedings contribution I review recent work in kinetic theory which demonstrates that, for system undergoing Bjorken expansion, there exists an attractor in all moments of the one-particle distribution function. I discuss how this…

High Energy Physics - Phenomenology · Physics 2020-09-10 Michael Strickland

Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high…

High Energy Physics - Theory · Physics 2018-01-19 Paul Romatschke

Exceptional point in non-Hermitian system possesses fascinating properties. We present an exactly solvable attractor dynamics for the first time from a two-level time dependent non-Hermitian Hamiltonian. It allows a way to evolve to the…

Quantum Physics · Physics 2021-12-14 C. Li , P. Wang , L. Jin , Z. Song

We present a concise review of the recent development of relativistic hydrodynamics and its applications to heavy-ion collisions. Theoretical progress on the extended formulation of hydrodynamics towards out-of-equilibrium systems is…

Nuclear Theory · Physics 2020-10-26 Chun Shen , Li Yan

We present an alternative approach to deriving second-order non-conformal hydrodynamics from the relativistic Boltzmann equation. We demonstrate how constitutive relations for shear and bulk stresses can be transformed into dynamical…

Nuclear Theory · Physics 2023-12-19 Sunil Jaiswal , Jean-Paul Blaizot , Rajeev S. Bhalerao , Zenan Chen , Amaresh Jaiswal , Li Yan

This paper refined and introduced some notations (namely attractors, physical attractors, proper attractors, topologically exact and topologically mixing) within the context of relations. We establish necessary and sufficient conditions,…

Dynamical Systems · Mathematics 2025-10-07 Aliasghar Sarizadeh

We study the effect of external proper time-dependent longitudinal forces on the evolution of the distribution function using the Boltzmann Equation with a relaxation time collision kernel under Bjorken flow. We derive an exact solution and…

Nuclear Theory · Physics 2023-11-27 Reghukrishnan Gangadharan , Ankit Kumar Panda , Victor Roy

We present the first demonstration of finite-time gradient blow-ups in Israel-Stewart (IS) theories with 1+1D plane symmetry, mathematically showing the existence of smooth initial data that can evolve into shocks across three regimes: pure…

General Physics · Physics 2025-12-23 Fábio S. Bemfica

We solve a Boltzmann equation for massless quark and gluon fluids in a transversally homogeneous, longitudinally boost-invariant expansion. Quarks can be out of chemical equilibrium and the relaxation times of the two species are assumed to…

High Energy Physics - Phenomenology · Physics 2024-12-20 Ferdinando Frascà , Andrea Beraudo , Michael Strickland