Enumeration of States in a Periodic Glass

Abstract

We present an analytic enumeration of the metastable states, $N_s$, in a periodic long-range Josephson array frustrated by a transverse field. We find that the configurational entropy, $S_{conf}\equiv \ln N_s$, is extensive and scales with frustration, confirming that the non-random system is glassy. We also find that $S_{conf}$ is different from that of its disordered analogue, despite that fact that the two models share the same dynamical equations.

References in corpus (3)

• On the stationary points of the TAP free energy
• History-Dependence and Ageing in a Periodic Long-Range Josephson Array
• Transition Temperature of Josephson Junction Arrays with Long-Range Interaction

Cited by in corpus (3)

• Self generated randomness, defect wandering and viscous flow in stripe glasses
• Glassy effects in the swelling/collapse dynamics of homogeneous polymers
• The number of metastable states in the generalized random orthogonal model