Related Experiment Video
Updated: Jun 21, 2026

07:33
Quantifying Mixing using Magnetic Resonance Imaging
Published on: January 25, 2012
Magnetically driven surface mixing.
M Belkin1, A Snezhko, I S Aranson
1Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA.
Summary
Magnetic microparticles energized by alternating fields show complex behaviors. Surface flows exhibit quasi-two-dimensional turbulence, while tracer particles display Brownian diffusion.
Area of Science:
- Physics
- Soft Matter Physics
- Fluid Dynamics
Background:
- Magnetic microparticles exhibit complex collective behaviors when subjected to external fields.
- Self-assembly and pattern formation are observed in these systems.
- Understanding surface dynamics is crucial for controlling particle behavior.
Purpose of the Study:
- To experimentally investigate mixing and surface diffusion processes in a system of magnetic microparticles.
- To characterize the nature of surface flows induced by particle patterns.
- To analyze the advection dynamics of tracer particles within these flows.
Main Methods:
- Experimental setup involving magnetic microparticles on a liquid surface.
- Application of a vertical alternating magnetic field to energize the system.
- Observation and analysis of particle patterns, surface flows, and tracer particle movement.
Main Results:
- Observed complex collective behavior and self-assembled structures of magnetic microparticles.
- Demonstrated that pattern-induced surface flows possess characteristics of quasi-two-dimensional turbulence.
- Showed that surface advection of tracer particles mimics Brownian diffusion.
Conclusions:
- The system of energized magnetic microparticles exhibits emergent turbulent flow properties.
- Tracer particle diffusion in this system is governed by the chaotic advection of the surface flows.
- This research provides insights into active matter systems and their fluid dynamics.
Related Concept Videos
Magnetostatic Boundary Conditions
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
Potential Due to a Magnetized Object
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
The vector...
The Thermodynamics of Mixing
Mixing is a fascinating phenomenon in thermodynamics, particularly when considering the Gibbs energy of a mixture at constant temperature and pressure. This energy, denoted as G, tends to decrease during spontaneous mixing processes, offering insights into the composition changes that occur.Imagine two ideal gases, initially separated in different containers, with amounts nA and nB, respectively, both at a temperature T and pressure p. The chemical potentials of these gases have their 'pure'...
Surface Tension
Surface tension is defined as the force per unit length (γ) acting along the surface of a liquid. It arises due to strong intermolecular forces of attraction. A molecule located inside the bulk of the liquid is surrounded by other molecules and experiences equal forces in all directions. However, a molecule at the surface experiences unbalanced forces because there are more neighboring molecules below than above. This creates a net inward force that pulls surface molecules toward the interior,...
Surface Tension of Fluid
Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
Surface tension varies with...
Surface tension varies with...
Surface Tension and Surface Energy
When a paint brush is immersed in water, the bristles wave freely inside the water. When it is taken out, the bristles stick together. The reason behind this effect is surface tension.
Consider a beaker filled with liquid. The bulk molecules in the liquid experience equal attractive forces on all sides with the surrounding molecules. However, the surface molecules experience a net attractive force downward due to the bulk molecules. The surface of the liquid behaves like a stretched membrane,...
Consider a beaker filled with liquid. The bulk molecules in the liquid experience equal attractive forces on all sides with the surrounding molecules. However, the surface molecules experience a net attractive force downward due to the bulk molecules. The surface of the liquid behaves like a stretched membrane,...

