The Fully Frustrated Hypercubic Model is Glassy and Aging at Large D

The Fully Frustrated Hypercubic Model is Glassy and Aging at Large

2 8 M ay 2 00 8 Logarithmic corrections in the aging of the fully - frustrated Ising model

We study the dynamics of the critical two-dimensional fully-frustrated Ising model by means of Monte Carlo simulations. The dynamical exponent is estimated at equilibrium and is shown to be compatible with the value zc = 2. In a second step, the system is prepared in the paramagnetic phase and then quenched at its critical temperature Tc = 0. Numerical evidences for the existence of logarithmic...

Counting non planar diagrams: an exact formula

We present an explicit solution of a simply stated, yet unsolved, combinatorial problem, of interest both in quantum field theory (Feynman diagrams enumeration, beyond the planar approximation) and in statistical mechanics (high temperature loop expansion of some frustrated lattice spin model). PACS: 02.10.Eb, 02.10.Nj, 05.50.+q ∗e-mail: [email protected] The problem of counting the number of r...

The Glassy Potts Model

We introduce a Potts model with quenched, frustrated disorder, that enjoys of a gauge symmetry that forbids spontaneous magnetization, and allows the glassy phase to extend from Tc down to T = 0. We study numerical the 4 dimensional model with q = 4 states. We show the existence of a glassy phase, and we characterize it by studying the probability distributions of an order parameter, the binder...

Precursor phenomena in frustrated systems.

To understand the origin of the dynamical transition, between high-temperature exponential relaxation and low-temperature nonexponential relaxation, that occurs well above the static transition in glassy systems, a frustrated spin model, with and without disorder, is considered. The model has two phase transitions, the lower being a standard spin glass transition (in the presence of disorder) o...