Loyola University Maryland

Department of Physics

Non-Equilibrium Critical Phenomena: Aging

Aging is one of the simplest non-equilibrium and time-dependent phenomena with three characteristic features: slow power-law decay, broken time translation and dynamical scaling. These features are realized in simple gravity backgrounds in the context of the Schroedinger holography. Schroedinger background realizes ``co-dimension two holography'' with two holographic coordinates. One is the usual radial coordinate. Another is responsible for the particle number, which is conserved in the non-relativistic theories. This background has large symmetry group, called non-relativistic conformal Schroedinger group. Aging symmetry is realized by removing only the time translation symmetry.

Auto correlation function of holographic Aging as a function of dimensionless time, late time over early reference time.

The above graph shows the initial power-law growth followed by another power-law behaviors depending on the parameters existing in our theory. It is interesting to point out that two-time auto-correlation functions of the theory can exhibit early power-law growth as well as the late aging decay. Motivated by the recent progress on Kardar-Parisi-Zhang (KPZ) universality class and its experimental realization, we investigated the connection between aging and KPZ. 


  1. S. Hyun, J. Jeong and B. S. Kim, “Finite Temperature Aging Holography,” JHEP 1203, 010 (2012). [arXiv:1108.5549][hep-th] 

  2. S. Hyun, J. Jeong and B. S. Kim, “Aging Logarithmic Conformal Field Theory : a holographic view,” JHEP 1301, 141 (2013). [arXiv:1209.2417][hep-th]

  3. S. Hyun, J. Jeong and B. S. Kim, “Aging Logarithmic Galilean Field Theories,” Nucl. Phys. B 874, 358 (2013). [arXiv:1304.0007][hep-th]