Curvature on a sphere induces smectic-C order in tangentially locked hard spherocylinders, with closed-form angle predictions and Monte Carlo confirmation across 15 geometries showing no fitted constants.
Uniqueness of the Canonical Reciprocal Cost
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Rigorous analysis shows the continuous noncompact model with kernel exp[−(cosh u−1)] fails Bochner positive-definiteness while finite-alphabet discretizations satisfy reflection positivity via uniform diagonal-dominance certificates for selected v0.
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Curvature-induced smectic-C order of tangentially anchored hard spherocylinders on a sphere with a rigidly locked director field
Curvature on a sphere induces smectic-C order in tangentially locked hard spherocylinders, with closed-form angle predictions and Monte Carlo confirmation across 15 geometries showing no fitted constants.