Non-equilibrium Steady States in AdS/CFT Correspondence
I am going to talk on application of the AdS/CFT correspondence to studies of non-equilibrium steady states. The AdS/CFT correspondence states that a gauge theory can be re-written in terms of general relativity on a curved geometry. The geometry has one extra direction which corresponds to the energy scale of the gauge theory, along which a flow from short distance to long distance is geometrically achieved. In some cases, a finite-temperature equilibrium system of gauge particles can be realized as a single black hole geometry. A remarkable advantage of this mapping is that the macroscopic quantities of the statistical system of the gauge particles can be directly readable from the properties of the black hole without knowing the density matrix explicitly. We can also prepare non-equilibrium states by driving the equilibrium geometry by applying an external force, and it is still believed that the macroscopic quantities (if they exists) can be directly readable. We apply this nature to examine various setups of non-equilibrium steady states (NESS) and I will report on the fluctuation-dissipation relation in NESS.
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