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Strong coupling isotropization of non-Abelian plasmas simplified

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arxiv 1202.0981 v2 pith:7CTE26A6 submitted 2012-02-05 hep-th gr-qchep-phnucl-th

Strong coupling isotropization of non-Abelian plasmas simplified

classification hep-th gr-qchep-phnucl-th
keywords isotropizationeinsteinequationsequilibriumfinallargenon-abelianstates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the isotropization of a homogeneous, strongly coupled, non-Abelian plasma by means of its gravity dual. We compare the time evolution of a large number of initially anisotropic states as determined, on the one hand, by the full non-linear Einstein's equations and, on the other, by the Einstein's equations linearized around the final equilibrium state. The linear approximation works remarkably well even for states that exhibit large anisotropies. For example, it predicts with a 20% accuracy the isotropization time, which is of the order of t_iso \lesssim 1/T, with T the final equilibrium temperature. We comment on possible extensions to less symmetric situations.

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