Hidden scale invariance in the Gay-Berne model. II. Smectic B phase

This paper complements a previous study of the isotropic and nematic phases of the Gay-Berne liquid-crystal model [Mehri et al., Phys. Rev. E 105, 064703 (2022)] with a study of its smectic B phase found at high density and low temperatures. We find also in this phase strong correlations between the...

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Bibliographic Details
Published inarXiv.org
Main Authors Saeed Mehri, Dyre, Jeppe C, Ingebrigtsen, Trond S
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.04.2023
Subjects
Angular velocity
Autocorrelation functions
Distribution functions
Invariance
Low temperature
Physics - Materials Science
Physics - Mesoscale and Nanoscale Physics
Physics - Soft Condensed Matter
Radial distribution
Scale invariance
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Summary:This paper complements a previous study of the isotropic and nematic phases of the Gay-Berne liquid-crystal model [Mehri et al., Phys. Rev. E 105, 064703 (2022)] with a study of its smectic B phase found at high density and low temperatures. We find also in this phase strong correlations between the virial and potential-energy thermal fluctuations, reflecting hidden scale invariance and implying the existence of isomorphs. The predicted approximate isomorph invariance of the physics is confirmed by simulations of the standard and orientational radial distribution functions, the mean-square displacement as a function of time, as well as the force, torque, velocity, angular velocity, and orientational time-autocorrelation functions. The regions of the Gay-Berne model that are relevant for liquid-crystal experiments can thus fully be simplified via the isomorph theory.
ISSN:2331-8422
DOI:10.48550/arxiv.2303.03069