English

Solution of the local field equations for self-generated glasses

Disordered Systems and Neural Networks 2009-11-10 v1

Abstract

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.

Cite

@article{arxiv.cond-mat/0305404,
  title  = {Solution of the local field equations for self-generated glasses},
  author = {Sangwook Wu and Joerg Schmalian and Gabriel Kotliar and Peter G Wolynes},
  journal= {arXiv preprint arXiv:cond-mat/0305404},
  year   = {2009}
}

Comments

11 pages, 3 figures

R2 v1 2026-07-22T10:50:13.901Z