2 research outputs found
Glassy Critical Points and Random Field Ising Model
We consider the critical properties of points of continuous glass transition
as one can find in liquids in presence of constraints or in liquids in porous
media. Through a one loop analysis we show that the critical Replica Field
Theory describing these points can be mapped in the -Random Field Ising
Model. We confirm our analysis studying the finite size scaling of the -spin
model defined on sparse random graph, where a fraction of variables is frozen
such that the phase transition is of a continuous kind.Comment: The paper has been completely revised. A completely new part with
simulations of a p-spin glass model on random graph has been included. An
appendix with the Mathematica worksheet used in the calculation of the
diagrams has also been adde