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 |
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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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