# Novel Universality Classes in Ferroelectric Liquid Crystals

Source: [Novel Universality Classes in Ferroelectric Liquid Crystals](<https://www.sota2.com/research/paper/68fa35b81e209131ce8a3e5f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T21:24:36.654Z

Authors: Amit K Chattopadhyay, Prabir K Mukherjee

Published: 2017-05-24T11:38:09.000Z

## Abstract

Starting from a Langevin formulation of a thermally perturbed nonlinear elastic model of the ferroelectric smectic-C$^\*$ (SmC${\*}$) liquid crystals in the presence of an electric field, this article characterizes the hitherto unexplored dynamical phase transition from a thermo-electrically forced ferroelectric SmC${}^{\*}$ phase to a chiral nematic liquid crystalline phase and vice versa. The theoretical analysis is based on a combination of dynamic renormalization (DRG) and numerical simulation of the emergent model. While the DRG architecture predicts a generic transition to the Kardar-Parisi-Zhang (KPZ) universality class at dynamic equilibrium, in agreement with recent experiments, the numerical simulations of the model show simultaneous existence of two phases, one a "subdiffusive" (SD) phase characterized by a dynamical exponent value of 1, and the other a KPZ phase, characterized by a dynamical exponent value of 1.5. The SD phase flows over to the KPZ phase with increased external forcing, offering a new universality paradigm, hitherto unexplored in the context of ferroelectric liquid crystals.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1705.08705>)

[PDF](<https://arxiv.org/pdf/1705.08705.pdf>)