Micro-mutual-dipolar model for rapid calculation of forces between paramagnetic colloids.

Area of Science:

• Physics
• Magnetohydrodynamics
• Computational Physics

Background:

• Calculating forces between paramagnetic particles typically uses dipole models or the Maxwell stress tensor.
• Dipole models are fast but inaccurate for particle clusters.
• The Maxwell stress tensor is accurate but computationally expensive.

Purpose of the Study:

• To present a more accurate and efficient dipole-based model for calculating forces between paramagnetic particles.
• To improve force calculations for small aggregates of paramagnetic particles.

Main Methods:

• Developed the micro-mutual-dipolar model, an enhanced dipole-based approach.
• Applied the model to calculate forces between paramagnetic spheres and disks in uniform and rotational magnetic fields.
• Examined forces in 2D systems with three and ten particles.

Main Results:

• The micro-mutual-dipolar model shows improved accuracy for small aggregates compared to traditional dipole models.
• The model's time complexity is comparable to existing dipole-based methods.
• Demonstrated the model's utility for calculating forces in 2D systems.

Conclusions:

• The micro-mutual-dipolar model provides a balance of accuracy and efficiency for force calculations.
• This model is valuable for dynamic simulations of small paramagnetic particle clusters.