Correlations in the isotropic phases of chiral liquid crystals : the role of helicity modes

2003
journal article
article
dc.abstract.otherThe phenomenological theory of chiral liquid crystals is further developed by generalizing the model of self-consistent correlations [J. Englert, L. Longa, H. Stark, and H.-R. Trebin, Phys. Rev. Lett. 81, 1457 (1998)]. In the present approach, not only a leading helicity mode of the tensor order parameter is retained but also the remaining four modes. By considering a full fluctuating spectrum of the order parameter, the role of correlations between helicity modes in the isotropic phases is studied. Additionally, an exact form of the two-point correlation function in real space is derived and its properties are thoroughly discussed. It is shown that for chiral isotropic liquids purely chiral modes could be identified that do not exist for an ordinary liquid. Detailed results of the numerical calculations are compared with those obtained from the earlier model and these show regions where the coupling between the modes becomes important, in agreement with the available experimental data. Though the analysis up to first-order cumulant expansion does not predict a direct phase transition between the blue phase III and the isotropic phase, it is fairly easy to identify two differently correlated regions in a temperature-chirality plane. Various structural quantities, such as optical activity and specific heat, also reveal a behavior characteristic of two isotropic phases with different correlation lengths.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorLonga, Lech - 100154 pl
dc.contributor.authorCieśla, Michał - 101020 pl
dc.contributor.authorTrebin, Hans-Reinerpl
dc.date.accession2015-03-03pl
dc.date.accessioned2015-03-03T15:01:36Z
dc.date.available2015-03-03T15:01:36Z
dc.date.issued2003pl
dc.description.number6pl
dc.description.volume67pl
dc.identifier.articleid061705pl
dc.identifier.doi10.1103/PhysRevE.67.061705pl
dc.identifier.eissn1550-2376pl
dc.identifier.issn1539-3755pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/3506
dc.identifier.weblinkhttp://link.aps.org/doi/10.1103/PhysRevE.67.061705pl
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.uri*
dc.subject.otherblue phasespl
dc.subject.otherliquid crystalspl
dc.subtypeArticlepl
dc.titleCorrelations in the isotropic phases of chiral liquid crystals : the role of helicity modespl
dc.title.journalPhysical Review. E, Statistical, Nonlinear, and Soft Matter Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.otherpl
The phenomenological theory of chiral liquid crystals is further developed by generalizing the model of self-consistent correlations [J. Englert, L. Longa, H. Stark, and H.-R. Trebin, Phys. Rev. Lett. 81, 1457 (1998)]. In the present approach, not only a leading helicity mode of the tensor order parameter is retained but also the remaining four modes. By considering a full fluctuating spectrum of the order parameter, the role of correlations between helicity modes in the isotropic phases is studied. Additionally, an exact form of the two-point correlation function in real space is derived and its properties are thoroughly discussed. It is shown that for chiral isotropic liquids purely chiral modes could be identified that do not exist for an ordinary liquid. Detailed results of the numerical calculations are compared with those obtained from the earlier model and these show regions where the coupling between the modes becomes important, in agreement with the available experimental data. Though the analysis up to first-order cumulant expansion does not predict a direct phase transition between the blue phase III and the isotropic phase, it is fairly easy to identify two differently correlated regions in a temperature-chirality plane. Various structural quantities, such as optical activity and specific heat, also reveal a behavior characteristic of two isotropic phases with different correlation lengths.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Longa, Lech - 100154
dc.contributor.authorpl
Cieśla, Michał - 101020
dc.contributor.authorpl
Trebin, Hans-Reiner
dc.date.accessionpl
2015-03-03
dc.date.accessioned
2015-03-03T15:01:36Z
dc.date.available
2015-03-03T15:01:36Z
dc.date.issuedpl
2003
dc.description.numberpl
6
dc.description.volumepl
67
dc.identifier.articleidpl
061705
dc.identifier.doipl
10.1103/PhysRevE.67.061705
dc.identifier.eissnpl
1550-2376
dc.identifier.issnpl
1539-3755
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/3506
dc.identifier.weblinkpl
http://link.aps.org/doi/10.1103/PhysRevE.67.061705
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.uri*
dc.subject.otherpl
blue phases
dc.subject.otherpl
liquid crystals
dc.subtypepl
Article
dc.titlepl
Correlations in the isotropic phases of chiral liquid crystals : the role of helicity modes
dc.title.journalpl
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication

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