English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Liquid crystals in two dimensions do not support long-ranged nematic order,but a quasi-nematic phase where the orientational correlations decayalgebraically is possible. The transition from the isotropic to thequasi-nematic phase can be continuous of the Kosterlitz-Thouless type, or itcan be first-order. We report here on a liquid crystal model where the natureof the isotropic to quasi-nematic transition can be tuned via a singleparameter $p$ in the pair potential. For $p<p_t$, the transition is of theKosterlitz-Thouless type, while for $p>p_t$ it is first-order. Precisely at$p=p_t$, there is a tricritical point, where, in addition to the orientationalcorrelations, also the positional correlations decay algebraically. Thetricritical behavior is analyzed in detail, including an accurate estimate of$p_t$. The results follow from extensive Monte Carlo simulations combined witha finite-size scaling analysis. Paramount in the analysis is a scheme tofacilitate the extrapolation of simulation data in parameters that are notnecessarily field variables (in this case the parameter $p$) the details ofwhich are also provided. This scheme provides a simple and powerful alternativefor situations where standard histogram reweighting cannot be applied.

Crossover from a Kosterlitz-Thouless to a discontinuous phase transition in two-dimensional liquid crystals