Modulated structures in a Lebwohl–Lasher model with chiral interactions

E.S. Nascimento, A. Petri and S.R. Salinas

Physica A: Statistical Mechanics and its Applications, 2019, vol. 531, issue C

Abstract: We consider a Lebwohl–Lasher lattice model with nematic directors restricted to point along p planar directions. This XY Lebwohl–Lasher system is the nematic analogue of the standard p-state clock model. We then include chiral interactions, and introduce a chiral p-state nematic clock model. The statistical problem is formulated as a discrete non-linear map on a Cayley tree. The attractors of this map correspond to the physical solutions deep in the interior of the tree. It is possible to observe uniform and periodic structures, depending on temperature and a parameter of chirality. We find many different chiral nematic phases, and point out the effects of temperature and chirality on the modulation associated with these structures.

Keywords: Chiral nematics; Statistical models; Phase behavior; Cayley tree (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119309380
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119309380

DOI: 10.1016/j.physa.2019.121592

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().