Glassy behavior in systems with Kac-type step-function interaction

Details Glassy behavior in systems with Kac-type step-function interaction Glassy behavior in systems with Kac-type step-function interaction

2002-06-25

arxiv.org/abs/cond-mat/0206494v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 3 eps figures, submitted to PRE rapid communications

Scientific paper

We study a system with a weak, long-range repulsive Kac-type step-function interaction within the framework of a replicated effective $\phi^4$-theory. The occurrence of extensive configurational entropy, or an exponentially large number of metastable minima in the free energy (characteristic of a glassy state), is demonstrated. The underlying mechanism of mesoscopic patterning and defect organizations is discussed.

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