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Dissipative Dynamics of Highly Anisotropic Systems
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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.
Forward citations
Cited by 4 Pith papers
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Low-energy hadronic physics in holographic $\mathrm{QCD_{3}}$ with anisotropy
In an anisotropic holographic model of 3D QCD, hadronic systems become unstable when anisotropy exceeds the confinement energy scale, with dragging terms essential for transport properties.
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Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion
VAH simulations in (2+1)D Bjorken flow with transverse expansion show an extended applicability domain over standard viscous hydrodynamics when compared to relaxation-time approximation kinetic theory.
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Holographic correlation functions of fermions in anisotropic plasma
Generalizes the holographic prescription for fermionic retarded Green's functions to anisotropic geometries and numerically evaluates direction-dependent features, instabilities, Landau levels, and a pseudogap in thre...
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