TY - JOUR
T1 - Periodic, incommensurate and chaotic states in a continuum statistical mechanics model
AU - Fradkin, Eduardo
AU - Hernandez, Oscar
AU - Huberman, B. A.
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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U2 - 10.1016/0550-3213(83)90211-0
DO - 10.1016/0550-3213(83)90211-0
M3 - Article
AN - SCOPUS:0542452782
SN - 0550-3213
VL - 215
SP - 137
EP - 168
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -