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arxiv: cond-mat/0206494 · v1 · pith:6MZYY2X2new · submitted 2002-06-25 · ❄️ cond-mat.soft

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

Kok-Kiong Loh (1) , Kyozi Kawasaki (1) , Alan R. Bishop (1) , Turab Lookman (1) , Avadh Saxena (1) , J\"org Schmalian (2) , Zohar Nussinov (3) ((1) Theoretical Division , Los Alamos National Laboratory
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(2) Department of Physics Astronomy Ames Laboratory Iowa State University (3) Instituut-Lorentz for Theoretical Physics Leiden University.)
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classification ❄️ cond-mat.soft
keywords glassyinteractionkac-typestep-functionbehaviorcharacteristicconfigurationaldefect
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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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