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Ordering in linear multipolar colloids driven by an external field.

O Alarcón-Waess¹

¹Departamento de Física, UDLA, Puebla, Sta. Catarina Mártir, Cholula, 72820 Puebla, Mexico. olegario.alarcon@udlap.mx

The Journal of Chemical Physics

|September 1, 2006

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This study develops a method to model multipolar colloids under external fields. It predicts how dipole and quadrupole moments align, identifying critical fields for phase transitions in orientationally ordered colloids.

Area of Science:

Colloid Science
Statistical Mechanics
Soft Matter Physics

Background:

Colloids under external fields exhibit complex behaviors.
Understanding their orientational ordering is crucial for material design.

Purpose of the Study:

To develop a theoretical framework for linear multipolar colloids driven by external fields.
To compute equilibrium correlations and parameters predicting orientational ordering.

Main Methods:

Developed an approach for low-structured, axially symmetric colloids.
Computed self and collective equilibrium correlations up to linear order in density.
Utilized Boltzmann distribution for two-body density and Smoluchowski equation for one-body density.
Calculated observables up to the two-body level.

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Main Results:

Derived expressions for self-correlation in terms of second and fourth-order parameters.
Reported explicit results for dipole and quadrupole moments.
Predicted distinct alignment behaviors for different multipolar moments.
Established a relationship between second and fourth-order parameters to predict critical fields.

Conclusions:

The developed observables and parameters can predict the evolution towards an orientationally ordered phase.
The study identifies the critical external field strength for achieving an axially symmetric phase in colloids.