Low temperature phases obtained by linear programming: An application to a lattice system of model chiral molecules.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F11%3A00181604" target="_blank" >RIV/68407700:21110/11:00181604 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.physa.2011.03.041" target="_blank" >http://dx.doi.org/10.1016/j.physa.2011.03.041</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physa.2011.03.041" target="_blank" >10.1016/j.physa.2011.03.041</a>
Alternative languages
Result language
angličtina
Original language name
Low temperature phases obtained by linear programming: An application to a lattice system of model chiral molecules.
Original language description
A convenient, Peierls-type approach to obtain low-temperature phases is to use the method of an m-potential. In this paper we show that, for more complex systems where it may be rather difficult to rewrite the Hamiltonian as an m-potential and whose configurations are subject to linear constraints, the verification of the Peierls condition can be reformulated as a linear programming problem. Before introducing this novel strategy for a general lattice system, we compare it with the m-potential method for a specific model molecular system consisting of an equimolar mixture of a chiral molecule and its non-superimposable mirror image that occupy all the sites of a honeycomb lattice. In one range of interactions, we prove that a racemic low-temperature phase occurs (containing equal numbers of each enantiomer). However, in a neighboring range of interactions, we show that a homochiral low-temperature phase (containing a single enantiomer) exists, and thus chiral segregation occurs in the
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica A: Statistical Mechanics and Its Applications
ISSN
0378-4371
e-ISSN
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Volume of the periodical
390
Issue of the periodical within the volume
17
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
18
Pages from-to
3002-3019
UT code for WoS article
000291963500004
EID of the result in the Scopus database
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