• Accepted Paper

Entropic bottlenecks to nematic ordering in an RP2 apolar spin model

B. Kamala Latha, V. S. S. Sastry, and S. R. Shenoy

Phys. Rev. E - Accepted 9 November, 2026

DOI: https://doi.org/10.1103/3l9d-787l

Abstract

The Lebwohl-Lasher model of uniaxial liquid crystals with ( = 3, = 2) was reported earlier to undergo a crossover to a novel nematic phase at a temperature T=Tn. This phase has unbound topological defects in a nematic background, that pair at a lower TBKT<Tn. The transition has zero latent heat, and a specific heat and correlation length that remain finite. We discover here a significant sparseness of states or an entropy barrier `bottleneck’, between the isotropic and novel nematic phases. Passage through these sparse configurations is enabled by short-range nematic clusters dressing the defect cores. The free energy temperature derivatives determine this is a {} transition in the Ehrenfest classification. The local transformation to dressed defects induces a sharp downward decrease in the correlation length, at a precursor temperature Tp>Tn. Cooling through Tp yields an itinerant para-nematic fluid of defects dressed with a macroscopically occupied local polar angle tilt. Correlations may de-localize these short-range nematic tilts, below Tn.

Export citation

Export citation

Choose format for download:

Download Citation

If the author has provided any supplemental materials with this article they will be available upon publication of the version of record.

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation