Non-equilibrium phase transition from AdS/CFT

Using AdS/CFT correspondence we study a non-equilibrium phase transition in the presence of a constant external magnetic field. The transition occurs when the sign of the differential conductivity reverses. Utilizing numerical method we show that the type of the transition depends on the value of magnetic field as well as the temperature of the gauge theory. Moreover we show that this transition does not depend on supersymmetry preserved by the system at zero temperature and the dimension of the subspace on which the fundamental matter field lives.