1208.6121 (Adam Lipowski)

Stretched exponentials in the dynamics and at the ground state of the
plaquette Ising model    [PDF]

Adam Lipowski

Simulations show that the autocorrelation function C(t) in the d=3 Ising model with a plaquette interaction has a stretched-exponential decay in a supercooled liquid phase. Such a decay characterizes also some ground-state probability distributions obtained from the numerically exact counting of up to 10^450 configurations. A related model with a strongly degenerate ground state but lacking glassy features does not exhibit such a decay. Tensionless modification of the droplet model might explain stretched-exponential decay of C(t) even in three-dimensional systems.

View original: http://arxiv.org/abs/1208.6121