Dissipative Nonlinear Dynamics in Holography
High Energy Physics - Theory
2014-02-26 v2
Abstract
We look at the response of a nonlinearly coupled scalar field in an asymptotically AdS black brane geometry and find a behavior very similar to that of known dissipative nonlinear systems like the chaotic pendulum. Transition to chaos proceeds through a series of period-doubling bifurcations. The presence of dissipation, crucial to this behavior, arises naturally in a black hole background from the ingoing conditions imposed at the horizon. AdS/CFT translates our solution to a chaotic response of the operator dual to the scalar field. Our setup can also be used to study quenchlike behavior in strongly coupled nonlinear systems.
Cite
@article{arxiv.1304.6349,
title = {Dissipative Nonlinear Dynamics in Holography},
author = {Pallab Basu and Archisman Ghosh},
journal= {arXiv preprint arXiv:1304.6349},
year = {2014}
}
Comments
12 pages, 7 figures; v2: References added, Changes complying to referee's suggestions made