Periodic, incommensurate and chaotic states in a continuum Statistical Mechanics Model

Fradkin, Eduardo ; Hernandez, Oscar ; Huberman, B. A. ; Pandit, Rahul (1983) Periodic, incommensurate and chaotic states in a continuum Statistical Mechanics Model Nuclear Physics B, 215 (2). pp. 137-168. ISSN 0550-3213

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0550-3213(83)90211-0

Abstract

We study the thermodynamic behavior of a continuum system with competing periodicities. We show that in addition to commensurate and incommensurate phases, there exist configurations which are chaotic in nature and exhibit no long-range order. These phases are metastable and characterized by an order parameter with a continuous spectrum. By transforming the problem of determining the ground states of the system into a classical mechanics problem, we construct a two-dimensional area-preserving map which can be used to study the qualitative nature of the orbits. Our results might be of relevance to adsorbed monolayers on periodic substrates.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:72694
Deposited On:29 Nov 2011 04:38
Last Modified:29 Nov 2011 04:38

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