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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 (ChH) phases and the deformations of the elastomers at these phase transition temperatures. We also find volume phase transitions at the I-ChH and the N-ChH phase transitions.

Volume Phase Transitions of Heliconical Cholesteric Gels under an External Field along the Helix Axis