Periodic, incommensurate and chaotic states in a continuum statistical mechanics model

Eduardo Fradkin, Oscar Hernandez, B. A. Huberman, Rahul Pandit

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)137-168
Number of pages32
JournalNuclear Physics, Section B
Volume215
Issue number2
DOIs
StatePublished - Jan 31 1983

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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