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

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

doi:10.1016/0550-3213(83)90211-0

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

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

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	137-168
Number of pages	32
Journal	Nuclear Physics, Section B
Volume	215
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(83)90211-0
State	Published - Jan 31 1983

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(83)90211-0

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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.",

author = "Eduardo Fradkin and Oscar Hernandez and Huberman, {B. A.} and Rahul Pandit",

note = "Funding Information: This work was begun while the authors were visiting the Institute for Theoretical Physics at the University of California, Santa Barbara. We wish to thank the Institute for their partial support of this work and the kind hospitality provided. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

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AU - Pandit, Rahul

N1 - Funding Information: This work was begun while the authors were visiting the Institute for Theoretical Physics at the University of California, Santa Barbara. We wish to thank the Institute for their partial support of this work and the kind hospitality provided. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1983/1/31

Y1 - 1983/1/31

N2 - 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.

AB - 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.

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

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