- Accepted Paper
Entropic bottlenecks to nematic ordering in an apolar spin model
Phys. Rev. E - Accepted 9 November, 2026
DOI: https://doi.org/10.1103/3l9d-787l
Phys. Rev. E - Accepted 9 November, 2026
DOI: https://doi.org/10.1103/3l9d-787l
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 . This phase has unbound topological defects in a nematic background, that pair at a lower . 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 . Cooling through 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 .
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