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PreprintCC BY 4.0arXiv

"Ultra-weak" First-Order Phase Transition in Biaxial Liquid Crystals

Abstract

We report high-resolution Monte Carlo evidence characterizing the hierarchy of transition strengths in biaxial nematogens. By employing multiple histogram reweighting on large lattices, we demonstrate that while the isotropic-to-uniaxial (I → NU) transition is symmetry-enforced first-order, the uniaxial-to-biaxial (NU → NB) transition in the region between the tricritical point and the triple point (λ= 0.26) is proximity-driven and more than an order of magnitude smaller for large system sizes. Such a class of ultra-weak first-order transitions could be a new pathway for future investigations.

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BibTeX
@misc{pramanick2026ultraweak,
  title = {{"Ultra-weak" First-Order Phase Transition in Biaxial Liquid Crystals}},
  author = {Soumyajit Pramanick and Mrinal Kanti Debnath and Nababrata Ghoshal and Soumen Kumar Roy and Sudeshna Dasgupta},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29343},
  eprint = {2608.29343},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29343},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - "Ultra-weak" First-Order Phase Transition in Biaxial Liquid Crystals
AU  - Soumyajit Pramanick
AU  - Mrinal Kanti Debnath
AU  - Nababrata Ghoshal
AU  - Soumen Kumar Roy
AU  - Sudeshna Dasgupta
PY  - 2026
DA  - 2026/08/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.29343
UR  - https://arxiv.org/abs/2608.29343
AB  - We report high-resolution Monte Carlo evidence characterizing the hierarchy of transition strengths in biaxial nematogens. By employing multiple histogram reweighting on large lattices, we demonstrate that while the isotropic-to-uniaxial (I → N_U) transition is symmetry-enforced first-order, the uniaxial-to-biaxial (N_U → N_B) transition in the region between the tricritical point and the triple point (λ= 0.26) is proximity-driven and more than an order of magnitude smaller for large system sizes. Such a class of ultra-weak first-order transitions could be a new pathway for future investigations.
ER  -