Enumeration of States in a Periodic Glass

TL;DR

This paper analytically enumerates metastable states in a periodic long-range Josephson array under frustration, revealing extensive configurational entropy and glassy behavior distinct from disordered systems.

Contribution

It provides the first analytical enumeration of metastable states in a frustrated, periodic Josephson array, highlighting its glassy nature.

Findings

Configurational entropy scales with frustration.

System exhibits glassy behavior despite non-random structure.

Entropy differs from disordered analogue with same dynamics.

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.