Tensionless structure of glassy phase

Abstract

We study a class of homogeneous finite-dimensional Ising models which were recently shown to exhibit glassy properties. Monte Carlo simulations of a particular three-dimensional model in this class show that the glassy phase obtained under slow cooling is dominated by large scale excitations whose energy $E_l$ scales with their size $l$ as $E_l\sim l^{\Theta }$ with $\Theta \sim 1.33(5)$. Simulations suggest that in another model of this class, namely the four-spin model, energy is concentrated mainly in linear defects making also in this case domain walls tensionless. Two-dimensinal variants of these models are trivial and energy of excitations scales with the exponent $\Theta =1.05(5)$.

5 pages

References in corpus (4)

• Spin and link overlaps in 3-dimensional spin glasses
• Novel glassy behavior in a ferromagnetic p-spin model
• Cooling-rate effects in a model of (ideal?) glass
• Slow dynamics of Ising models with energy barriers

Cited by in corpus (2)

• Emergence of linguistic conventions in multi-agent reinforcement learning
• Stretched exponentials and tensionless glass in the plaquette Ising model