Accelerating, to some extent, the p-spin dynamics

We consider a detailed-balance-violating dynamics whose stationary state is a prescribed Boltzmann distribution. Such dynamics have been shown to be faster than any equilibrium counterpart. We quantify the gain in convergence speed for a system whose energy landscape displays one and then an infinite number of energy barriers. In the latter case, we work with the mean-field disordered p spin and show that the convergence to equilibrium or to the nonergodic phase is accelerated during both the beta- and alpha-relaxation stages. An interpretation in terms of trajectories in phase space and of an accidental fluctuation-dissipation theorem is provided.

Automated summary

In this study, we examine a dynamics that violates detailed balance and find that it converges faster than its equilibrium counterpart. By studying a system with energy barriers, we discover that the convergence is accelerated in the nonergodic phase. We also provide an interpretation in terms of trajectories in phase space and an accidental fluctuation-dissipation theorem.