Dissipative Dynamics of Highly Anisotropic Systems

By Mauricio Martinez, Michael Strickland. 2010

268 citations recorded by the source corpus.

In this paper we present a method to improve the description of 0+1 dimensional boost invariant dissipative dynamics in the presence of large momentum-space anisotropies. We do this by reorganizing the canonical hydrodynamic expansion of the distribution function around a momentum-space anisotropic ansatz rather than an isotropic equilibrium one. At leading order the result obtained is two coupled ordinary differential equations for the momentum-space anisotropy and typical momentum of the degrees of freedom. We show that this framework can reproduce both the ideal hydrodynamic and free streaming limits. Additionally, we demonstrate that when linearized the differential equations reduce to 2nd order Israel-Stewart viscous hydrodynamics. Finally, we make quantitative comparisons of the evolution of the pressure anisotropy within our approach and 2nd order viscous hydrodynamics in both the strong and weak coupling limits.

Subfields: Astronomy and Astrophysics, Computational Mechanics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6aa5a5acf8d53d91a29c031e3bbf318bd86c7a0d

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Citations in the corpus

Probing strongly coupled anisotropic plasma (2012, methodology): “f small ξ. If the anisotropic parameter ξ is small then it is also related to the shear viscosity of the plasma, where in one-dimensional boost invariant expansion governed by Navier-Stokes evolution [19,20,35,36], the result given from (21) ξ = 10η Tτs (70) where the η/s is the viscosity to entropy”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “These equations can be derived, for example, by taking moments of the Boltzmann equation with an anisotropic distribution function f(t,x,p) [33, 35], and might provide an effective description of the system formed in the ultrarelativistic collision of two heavy ions in the early stage τ < τiso after”
Thermal bottomonium suppression at RHIC and LHC (2011, methodology): “In order to describe the space-time evolution of the system we use “anisotropic hydrodynamics” (aHydro) which extends traditional viscous hydrodynamical treatments to cases in which the local momentum-space anisotropy of the plasma can be large [54, 55].”
Relativistic Fluid Dynamics in and out of Equilibrium (2017, background): “First constraints on QCD shear viscosity value, placing it much closer to the strong coupling results than the weak coupling results • 2010: The Large Hadron Collider (LHC) at CERN starts operation • 2010: Understanding that nuclear geometry fluctuations drive triangular flow in heavy-ion collisions”
Properties of hot and dense matter from relativistic heavy ion collisions (2015, methodology): “Alternatively, one may try to describe the pre-equilibrium stage using kinetic theory [198,199] or the AdS/CFT correspondence [200].”
Heavy ions and string theory (2013, background): “There have been various attempts to resum higher order terms in the hydrodynamic expansion in order to reproduce some non-equilibrium physics [98, 99, 100].”