Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas
arXiv:1002.2429 · doi:10.1016/j.nuclphysb.2013.12.018
Abstract
We study Brownian motion of a heavy quark in field theory plasma in the AdS/CFT setup and discuss the time scales characterizing the interaction between the Brownian particle and plasma constituents. In particular, the mean-free-path time is related to the connected 4-point function of the random force felt by the Brownian particle. By holographically computing the 4-point function and regularizing the IR divergence appearing in the computation, we write down a general formula for the mean-free-path time, and apply it to the STU black hole which corresponds to plasma charged under three U(1) R-charges. The result indicates that the Brownian particle collides with many plasma constituents simultaneously.
62 pages (39 pages + 5 appendices), 6 figures. v2: journal version
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