Phase transitions in the steady state behavior of mechanically perturbed spin glasses and ferromagnets

Abstract

We analyze the steady state regime of systems interpolating between spin glasses and ferromagnets under a tapping dynamics recently introduced by analogy with the dynamics of mechanically perturbed granular media. A crossover from a second order to first order ferromagnetic transition as a function of the spin coupling distribution is found. The flat measure over blocked states introduced by Edwards for granular media is used to explain this scenario. Annealed calculations of the Edwards entropy are shown to qualitatively explain the nature of the phase transitions. A Monte-Carlo construction of the Edwards measure confirms that this explanation is also quantitatively accurate.

References in corpus (4)

• Edwards' measures: a thermodynamic construction for dense granular media and glasses
• Tapping Spin Glasses
• Tapping Thermodynamics of the One Dimensional Ising Model
• On random graphs and the statistical mechanics of granular matter

Cited by in corpus (5)

• A possible experimental test of the thermodynamic approach to granular media
• Glassy behavior induced by geometrical frustration in a hard-core lattice gas model
• Statistical mechanics of the vertex-cover problem
• What is the temperature of a granular medium?
• Edwards measure and the steady state regime of a model with kinetic constraints under tapping