Langevin dynamics of the Coulomb frustrated ferromagnet: A mode-coupling analysis
Abstract
We study the Langevin dynamics of the soft-spin, continuum version of the Coulomb-frustrated Ising ferromagnet. By using the dynamical mode-coupling approximation, supplemented by reasonable approximations for describing the equilibrium static correlation function, and the somewhat improved dynamical self-consistent screening approximation, we find that the system displays a transition from an ergodic to a nonergodic behavior. This transition is similar to that obtained in the idealized mode-coupling theory of glass-forming liquids and in the mean-field generalized spin glasses with one-step replica symmetry breaking. The significance of this result and the relation to the appearance of a complex free-energy landscape are also discussed.
- Publication:
-
Physical Review E
- Pub Date:
- August 2002
- DOI:
- 10.1103/PhysRevE.66.026126
- arXiv:
- arXiv:cond-mat/0204633
- Bibcode:
- 2002PhRvE..66b6126G
- Keywords:
-
- 64.60.Cn;
- 61.43.Fs;
- Order-disorder transformations;
- statistical mechanics of model systems;
- Glasses;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 13 pages, 11 figures, submitted to Phys. Rev. E