Transient power dynamics in nematic electroconvection.

Area of Science:

• Nonlinear Dynamics
• Fluid Mechanics
• Materials Science

Background:

• Nematic electroconvection exhibits spatiotemporal chaos under constant voltage, serving as a model for chaotic transients.
• Understanding transient dynamics is crucial for predicting complex system behavior.

Purpose of the Study:

• To investigate transient dynamics in nematic electroconvection following a sudden change in driving voltage.
• To characterize the long-lived transient state and its decay mechanisms.
• To interpret the observed instabilities within the framework of dynamical crisis.

Main Methods:

• Sudden voltage change applied to nematic electroconvection system.
• Observation of transient dynamics and spatiotemporal chaos.
• Analysis of power dissipation and image information entropy.
• Identification of Eckhaus and skew varicose instabilities.

Main Results:

• A long-lived transient state with enhanced power dissipation was observed.
• This transient state decays into steady-state defect turbulence via skew varicose instabilities.
• The transition was quantified using information entropy and power dissipation measurements.
• Both Eckhaus and skew varicose instabilities were observed during the transition.

Conclusions:

• The observed long-lived transient state originates from the initial structure of convective rolls.
• This phenomenon can be interpreted as a dynamical crisis.
• Transient states may be exploited in natural systems and for industrial applications.