On holographic thermalization and gravitational collapse of massless scalar fields

Wu B (2012)
Journal Of High Energy Physics 2012(10).

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In this paper we study thermalization in a strongly coupled system via AdS/CFT. Initially, the energy is injected into the system by turning on a spatially homogenous scalar source coupled to a marginal composite operator. The thermalization process is studied by numerically solving Einstein's equations coupled to a massless scalar field in the Poincare patch of AdS(5). We define a thermalization time t(T) on the AdS side, which has an interpretation in terms of a spacelike Wilson loop < W(l similar or equal to 1/T)> in CFT. Here T is the thermal equilibrium temperature. We study both cases with the source turned on in short (Delta t less than or similar to 1/T) and long (Delta t greater than or similar to 1/T) durations. In the former case, the thermalization time t(T) = gt/T less than or similar to 1/T and the coefficient gt similar or equal to 0.73 in the limit Delta t less than or similar to 0.02/T. In the latter case, we find double-and multiple-collapse solutions, which may be interpreted as the gravity duals of two- or multi-stage thermalization in CFT. In all the cases our results indicate that such a strongly coupled system thermalizes in a typical time scale t/T similar or equal to O(1)/T.
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Wu B. On holographic thermalization and gravitational collapse of massless scalar fields. Journal Of High Energy Physics. 2012;2012(10).
Wu, B. (2012). On holographic thermalization and gravitational collapse of massless scalar fields. Journal Of High Energy Physics, 2012(10).
Wu, B. (2012). On holographic thermalization and gravitational collapse of massless scalar fields. Journal Of High Energy Physics 2012.
Wu, B., 2012. On holographic thermalization and gravitational collapse of massless scalar fields. Journal Of High Energy Physics, 2012(10).
B. Wu, “On holographic thermalization and gravitational collapse of massless scalar fields”, Journal Of High Energy Physics, vol. 2012, 2012.
Wu, B.: On holographic thermalization and gravitational collapse of massless scalar fields. Journal Of High Energy Physics. 2012, (2012).
Wu, Bin. “On holographic thermalization and gravitational collapse of massless scalar fields”. Journal Of High Energy Physics 2012.10 (2012).
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