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

Kok-Kiong Loh; Kyozi Kawasaki; Alan R. Bishop; Turab Lookman; Avadh Saxena; Zohar Nussinov; Jörg Schmalian

doi:10.1103/PhysRevE.69.010501

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

Kok-Kiong Loh, Kyozi Kawasaki, Alan R. Bishop, Turab Lookman, Avadh Saxena, Zohar Nussinov, and Jörg Schmalian

Phys. Rev. E 69, 010501(R) – Published 20 January 2004

Abstract

We study a system with a weak, long-ranged repulsive Kac-type step-function interaction within the framework of a replicated effective $φ^{4}$ 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.

Received 7 June 2002

DOI:https://doi.org/10.1103/PhysRevE.69.010501

Authors & Affiliations

Kok-Kiong Loh^*, Kyozi Kawasaki^†, Alan R. Bishop, Turab Lookman, Avadh Saxena, and Zohar Nussinov

Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Jörg Schmalian

Department of Physics and Astronomy and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA

^*Present address: Dune Networks, 28215 Agoura Rd., Suite 100, Agoura Hills, CA 91301, USA.
^†Present address: Electronics Research Laboratory, Fukuoka Institute of Technology, Fukuoka, Japan.

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Vol. 69, Iss. 1 — January 2004

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics