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Novel Techniques for Observing Structural Dynamics of Photoresponsive Liquid Crystals
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Vibrational Fréedericksz transition in liquid crystals.

V A Vladimirov1, M Yu Zhukov

  • 1Department of Mathematics, York University, York, YO10 5DD, United Kingdom. vv500@york.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 13, 2007
PubMed
Summary

High-frequency mechanical vibrations can induce a "vibrational Fréedericksz's transition" in nematic liquid crystals (LCs). This phenomenon, caused by a vibrogenic torque equivalent to magnetic fields, is experimentally observable.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nonlinear Dynamics

Background:

  • Nematic liquid crystals (LCs) exhibit unique responses to external fields.
  • The Fréedericksz's transition is a key phenomenon in LC physics, typically induced by magnetic or electric fields.
  • Asymmetric molecules in LCs lack reflectional symmetry, influencing director field behavior.

Purpose of the Study:

  • To demonstrate the possibility of a vibrational Fréedericksz's transition in nematic liquid crystals.
  • To investigate the effects of high-frequency mechanical vibrations on LC director orientation.
  • To explore the behavior of LCs composed of asymmetric molecules under vibrational influence.

Main Methods:

  • Application of the two-timing asymptotic averaging method to the general LC equations.
  • Analysis of translational mechanical vibrations on an incompressible LC medium.
  • Mathematical modeling of the vibrogenic torque acting on the director field.

Main Results:

  • A novel
  • vibrogenic
  • torque is induced by high-frequency vibrations.
  • This vibrogenic torque is mathematically equivalent to the torque generated by an external magnetic field.
  • The study confirms the potential for inducing a vibrational Fréedericksz's transition.

Conclusions:

  • High-frequency mechanical vibrations can indeed cause a Fréedericksz's transition in nematic liquid crystals.
  • The findings suggest that this vibrational transition is experimentally achievable.
  • The research opens new avenues for controlling LC properties using mechanical vibrations.