Low temperature phases obtained by linear programming: An application to a lattice system of model chiral molecules.

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Low temperature phases obtained by linear programming: An application to a lattice system of model chiral molecules.

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Low temperature phases obtained by linear programming: An application to a lattice system of model chiral molecules.

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physica A: Statistical Mechanics and Its Applications

ISSN

0378-4371

e-ISSN

—

Svazek periodika

390

Číslo periodika v rámci svazku

17

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

18

Strana od-do

3002-3019

Kód UT WoS článku

000291963500004

EID výsledku v databázi Scopus

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