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We analyse the recently measured $v_2$ fluctuation in the context of establishing the degree of fluidity of the matter produced in heavy ion collisions. We argue that flow observables within systems with a non-negligible mean free path…

Nuclear Theory · Physics 2014-11-18 Sascha Vogel , Giorgio Torrieri , Marcus Bleicher

We investigate the role of the Knudsen number (Kn) as a scaling parameter governing the emergence of collective behavior in relativistic heavy-ion collisions. Using the Relativistic Boltzmann Transport approach, we explore different initial…

High Energy Physics - Phenomenology · Physics 2025-09-09 Vincenzo Nugara , Nicolas Borghini , Vincenzo Greco , Salvatore Plumari

We explore the scaling behavior of an unsteady flow that is generated by an oscillating body of finite size in a gas. If the gas is gradually rarefied, the Navier-Stokes equations begin to fail and a kinetic description of the flow becomes…

Fluid Dynamics · Physics 2017-02-28 Vural Kara , Victor Yakhot , Kamil L. Ekinci

Within a parton cascade approach we investigate the scaling of the differential elliptic flow $v_2(p_T)$ with eccentricity $\epsilon_x$ and system size and its sensitivity to finite shear viscosity. We present calculations for shear…

Nuclear Theory · Physics 2009-01-16 G. Ferini , M. Colonna , M. Di Toro , V. Greco

In delocalized systems, particle number fluctuations, also known as quantum surface roughness, and the mean-square displacement exhibit a temporal power-law growth followed by a saturation to a system-size-dependent value. We use simple…

Disordered Systems and Neural Networks · Physics 2024-07-15 Devendra Singh Bhakuni , Yevgeny Bar Lev

This study presents generalization of the Landau hydrodynamic solution for multiparticle production applied to non-central relativistic heavy ion collisions. Obtained results shows longitudinal scaling of elliptic flow $v_2$ as a function…

High Energy Physics - Phenomenology · Physics 2011-10-17 Karolis Tamosiunas

The common interpretation of $v_2$ in heavy ion collisions is that it is produced by hydrodynamic flow at low transverse momentum and by parton energy loss at high transverse momentum. In this talk we discuss this interpretation in view of…

Nuclear Theory · Physics 2012-08-30 Giorgio Torrieri , Barbara Betz , Miklos Gyulassy

Using numerical results from ideal and viscous relativistic hydrodynamic simulations with three different equations of state, for Au+Au and Cu+Cu collisions at different centralities and initial energy densities, we explore the dependence…

Nuclear Theory · Physics 2008-11-26 Huichao Song , Ulrich W. Heinz

We consider here an elliptic coupled system describing the dynamics of liquid crystals flows. This system is posed on the whole n-dimensional space. We introduce first the notion of very weak solutions for this system. Then, within the…

Analysis of PDEs · Mathematics 2023-04-28 Oscar Jarrin

Motivated by recent interest in collectivity in small systems, we calculate the harmonic flow response to initial geometry deformations within weakly coupled QCD kinetic theory using the first correction to the free-streaming background. We…

High Energy Physics - Phenomenology · Physics 2021-12-14 Aleksi Kurkela , Aleksas Mazeliauskas , Robin Törnkvist

Based on a viscous hydrodynamic model with anisotropically perturbed Gubser flow and isothermal Cooper-Frye freezeout at early times, we analytically compute the flow harmonics $v_n(p_T)$ and study how they scale with the harmonic number…

High Energy Physics - Phenomenology · Physics 2014-10-29 Yoshitaka Hatta , Jorge Noronha , Giorgio Torrieri , Bo-Wen Xiao

In recent years, open systems with balanced loss and gain, that are invariant under the combined parity and time-reversal ($\mathcal{PT}$) operations, have been studied via asymmetries of their solutions. They represent systems as diverse…

Fluid Dynamics · Physics 2014-12-23 Huidan , Yu , Xi Chen , Yousheng Xu , Yogesh N. Joglekar

We find that a simple extension of the coalescence model is sufficient to incorporate the perfect quark number scaling behavior of the elliptic flow in transverse kinetic energy, recently discovered by the PHENIX Collaboration. The flavor…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jiangyong Jia , Chun Zhang

Using the porous structures made up of homogeneously arranged solid obstacles, we examine the effects of rarefaction on the hydraulic tortuosity in the slip and early transition flow regimes via extended lattice Boltzmann method. We…

Fluid Dynamics · Physics 2023-10-16 Shiwani Singh

The presence of scaling variables in experimental observables provide very valuable indications of the dynamics underlying a given physical process. In the last years, the search for geometric scaling, that is the presence of a scaling…

High Energy Physics - Phenomenology · Physics 2015-09-30 C. Andrés , J. Dias de Deus , A. Moscoso , C. Pajares , Carlos A. Salgado

In this article, we reexamine the formulation for extraction of Knudsen number ($K$), the ratio of shear viscosity to entropy density ($\eta/s$), within the incomplete thermalization scenario, using eccentricity scaling of elliptic flow…

High Energy Physics - Phenomenology · Physics 2025-03-05 Arun Kumar Yadav , Partha Pratim Bhaduri , Subhasis Chattopadhyay

In nonlinear systems, small perturbations are conventionally attributed to negligible nonlinearity, justifying linear approximations. Here, we uncover a notable exception to this paradigm in an electrokinetic (EK) flow. Using a novel dual…

Fluid Dynamics · Physics 2026-04-16 Jin'an Pang , Guangyin Jing , Xiaoqiang Feng , Kaige Wang , Wei Zhao

The common interpretation of elliptic flow $v_2$ in heavy ion collisions is that it is produced by hydrodynamic flow at low transverse momentum and by parton energy loss at high transverse momentum. Here, we discuss this interpretation in…

Nuclear Theory · Physics 2016-09-21 Giorgio Torrieri

Elliptic flow systematics for different hadron species have been explained by quark coalescence models. It has been argued that the elliptic asymmetry v_2 should scale with the number of quarks that comprise the hadron. We show how these…

Nuclear Theory · Physics 2014-11-18 Scott Pratt , Subrata Pal

We revisit the well-known problem of multiscaling in substances passively advected by homogeneous and isotropic turbulent flows or passive scalar turbulence. To that end we propose a two-parameter continuum hydrodynamic model for an…

Statistical Mechanics · Physics 2018-05-23 Tirthankar Banerjee , Abhik Basu
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