Solution of the local field equations for self-generated glasses

Details Solution of the local field equations for self-generated glasses Solution of the local field equations for self-generated glasses

2003-05-16

arxiv.org/abs/cond-mat/0305404v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 3 figures

Scientific paper

10.1103/PhysRevB.70.024207

We present a self-consistent local approach to self generated glassiness which is based on the concept of the dynamical mean field theory to many body systems. Using a replica approach to self generated glassiness, we map the problem onto an effective local problem which can be solved exactly. Applying the approach to the Brazovskii-model, relevant to a large class of systems with frustrated micro-phase separation, we are able to solve the self-consistent local theory without using additional approximations. We demonstrate that a glassy state found earlier in this model is generic and does not arise from the use of perturbative approximations. In addition we demonstrate that the glassy state depends strongly on the strength of the frustrated phase separation in that model.

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