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 tiso ≲ 1/T, with T the final equilibrium temperature. We comment on possible extensions to less symmetric situations.
Strong Coupling Isotropization of Non-Abelian Plasmas Simplified / Heller, Michal P.; Mateos, David; van der Schee, Wilke; Trancanelli, Diego. - In: PHYSICAL REVIEW LETTERS. - ISSN 1079-7114. - 108:19(2012), pp. N/A-N/A. [10.1103/PhysRevLett.108.191601]
Strong Coupling Isotropization of Non-Abelian Plasmas Simplified
Trancanelli, Diego
2012
Abstract
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 tiso ≲ 1/T, with T the final equilibrium temperature. We comment on possible extensions to less symmetric situations.Pubblicazioni consigliate
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