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    Inferring the Isotropic-Nematic Phase Transition with Generative Machine Learning

    Eric R. Beyerle*

    Pratyush Tiwary†

    • Department of Chemistry and Biochemistry and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA and University of Maryland Institute for Health Computing, Bethesda, Maryland 20852, USA

    • *Contact author: eric.beyerle@bio.ku.dk
    • †Contact author: ptiwary@umd.edu

    Phys. Rev. Lett. 135, 068102 – Published 6 August, 2025

    DOI: https://doi.org/10.1103/1wdj-ym3s

    Abstract

    Generative machine learning models are capable of learning the phase behavior in condensed matter systems such as the Ising model. We utilize a score-based modeling procedure called thermodynamic maps to describe the isotropic-nematic phase transition in a melt of Gay-Berne ellipsoids. When trained on samples from a single temperature on either side of the phase transition, this generative machine learning approach infers effectively the nematic order parameter at intermediate temperatures. These results demonstrate score-based models’ ability to learn the physics of a nontrivial liquid crystal phase transition.

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