Formation of symmetric quasi-periodic structures in microsized nematic volumes imposed by crossed electric and magnetic fields

ABSTRACT

The theory based on numerical study of the system of hydrodynamic equations, which includes the director motion, shows that under the influence of crossed electric E and magnetic B fields, the director reorients in such a way that the transient symmetric quasi-periodic patterns may arise in microsized nematic volumes if the corresponding distortion mode has the fastest response and thus suppresses all other modes, including uniform ones. It has been shown that there is a threshold value of the amplitude of the thermal fluctuations of the director over the microsized nematic film which provides the nonuniform rotation mode rather than the uniform one, whereas the lower values of the amplitude dominate the uniform mode.

GRAPHICAL ABSTRACT

KEYWORDS:

• Liquid crystals
• hydrodynamics
• anisotropic systems
• patterns

Acknowledgments

A. V. Z. acknowledges financial support of the Ministry of Science and Higher Education of the Russian Federation for IPMash RAS (FFNF-2024-0009).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The work was supported by the Ministry of Science and Higher Education of the Russian Federation for IPMash RAS [FFNF-2024-0009].