ar X iv : c on d - m at / 9 50 50 20 v 1 4 M ay 1 99 5 Frustration - how it can be measured

ar X iv : a lg - g eo m / 9 50 20 26 v 2 9 M ay 1 99 5 ALGEBRAIC SURFACES AND SEIBERG - WITTEN INVARIANTS

ar X iv : c on d - m at / 9 30 50 01 v 1 3 M ay 1 99 3 One - dimensional asymmetrically coupled maps with defects

ar X iv : m at h - ph / 9 80 50 04 v 1 5 M ay 1 99 8 Five - Dimensional Tangent Vectors in Space - Time

ar X iv : c on d - m at / 9 40 50 07 v 1 4 M ay 1 99 4 Interfaces and lower critical dimension in a spin glass model

In this paper we try to estimate the lower critical dimension for replica symmetry breaking in spin glasses through the calculation of the additional free-energy required to create a domain wall between two different phases. This mechanism alone would say that replica symmetry would be restored at the lower critical dimension D c = 2.5.

ar X iv : c on d - m at / 9 50 51 15 v 1 2 4 M ay 1 99 5 Dynamical solution of a model without energy barriers

In this note we study the dynamics of a model recently introduced by one of us, that displays glassy phenomena in absence of energy barriers. Using an adiabatic hypothesis we derive an equation for the evolution of the energy as a function of time that describes extremely well the glassy behaviour observed in Monte Carlo simulations.