Abstract

We present a mean field theory to describe cholesteric elastomers and gels under an external field, such as an electric or a magnetic field, along the helix axis of a cholesteric phase. We study the deformations and volume phase transitions of cholesteric gels as a function of the external field and temperature. Our theory predicts the phase transitions between isotropic (I), nematic (N), and heliconical cholesteric ( phases and the deformations of the elastomers at these phase transition temperatures. We also find volume phase transitions at the and the phase transitions.

Highlights

  • Gels can undergo a volume phase transition with varying some parameters such as temperature, the degree of ionization, the pH, etc. [1,2]

  • We have presented a mean field theory to describe the deformations of cholesteric elastomers and gels under the external field imposed along the helix axis of a cholesteric phase

  • We calculate the deformation of cholesteric elastomers and volume phase transitions of cholesteric gels under the external field

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Summary

Introduction

Gels can undergo a volume phase transition with varying some parameters such as temperature, the degree of ionization, the pH, etc. [1,2]. When the external field, such electric or magnetic fields, applies along the helix axis p of a Ch phase, the director n rotates along the pitch axis with a cone angle e (Figure 1b). This phase is called a heliconical cholesteric (Ch H ) phase. We theoretically study heliconical deformations of Ch elastomers and gels under the external field imposed along the helix axis of a Ch phase. We show some numerical results of anisotropic deformations of Ch H elastomers (Section 2.1) and volume phase transitions of the gels (Section 2.2).

Results and Discussions
Deformations of Cholesteric Elastomers under the External Field
Volume Phase Transitions of Cholesteric Gels under the External Field
Summary
Free Energy of Cholesteric Gels under an External Field
Elastic Free Energy of a Heliconical Cholesteric Phase
Free Energy of a Heliconical Cholesteric Phase under an External Field
Orientational Distribution Function
Determination of the Order Parameters σ and Q
Equilibrium State of a Gel
Full Text
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