1301.6841 (Jeong-Man Park et al.)

Short-time response function of the modular dilute SK model    [PDF]

Jeong-Man Park, Michael W. Deem

We consider the short-time energy relaxation of the dilute SK model. We show that the more modular the system, the more rapidly the energy decays at short times. Conversely, a more modular system reaches a less favorable energy at long times in a static environment. We use these results to discuss the dynamics of the modularity order parameter in a system for which the coupling parameters of the dilute SK model change in time, due to a changing environment. Modularity endows the spin glass with a better response function in a changing environment.

View original: http://arxiv.org/abs/1301.6841