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• W1972091623 abstract "We study smectic-liquid-crystal order in a cell with a heterogeneous substrate imposing surface random positional and orientational pinnings. Proposing a minimal random elastic model, we demonstrate that, for a thick cell, the smectic state without a rubbed substrate is always unstable at long scales and, for weak random pinning, is replaced by a smectic glass state. We compute the statistics of the associated substrate-driven distortions and the characteristic smectic domain size on the heterogeneous substrate and in the bulk. We find that for weak disorder, the system exhibits a three-dimensional temperature-controlled phase transition between a weakly and strongly pinned smectic glass states akin to the Cardy-Ostlund phase transition. We explore experimental implications of the predicted phenomenology and suggest that it provides a plausible explanation for the experimental observations on polarized light microscopy and x-ray scattering." @default.
• W1972091623 created "2016-06-24" @default.
• W1972091623 creator A5034416348 @default.
• W1972091623 creator A5055720455 @default.
• W1972091623 date "2013-02-26" @default.
• W1972091623 modified "2023-09-24" @default.
• W1972091623 title "Smectic order, pinning, and phase transition in a smectic-liquid-crystal cell with a random substrate" @default.
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• W1972091623 doi "https://doi.org/10.1103/physreve.87.022509" @default.
• W1972091623 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23496537" @default.
• W1972091623 hasPublicationYear "2013" @default.
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