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Symmetry properties of nonlinear hydrodynamic interactions between responsive particles
1Raymond and Beverly Sackler School of Chemistry, and Center for Physics and Chemistry of Living Systems, Tel Aviv University, Tel Aviv 6997801, Israel.
Physical Review. E
|May 19, 2021
Summary
Nonlinear hydrodynamic interactions can cause identical particles in a fluid to move relatively, impacting suspension dynamics. This effect, dependent on system properties and force, offers potential for particle dispersion or assembly.
Area of Science:
- Fluid dynamics
- Soft matter physics
- Suspension mechanics
Background:
- Identical particles in viscous fluids can exhibit relative motion due to hydrodynamic interactions.
- These interactions significantly influence the dynamics of driven suspensions.
- Linear hydrodynamic interactions are often negligible for identical particles under identical forces.
Purpose of the Study:
- To investigate the emergence and properties of nonlinear hydrodynamic interactions in driven particle systems.
- To analyze how system-specific properties, influenced by external forcing, lead to nonlinear responses.
- To explore the implications of these nonlinear interactions for particle dynamics and potential applications.
Main Methods:
- Analysis of symmetries under particle exchange and force reversal.
- Study of nonlinear hydrodynamic response dependent on external forcing.
- Examination of specific examples: spheres near a wall, deformable objects, and spheres on a curved path.
Main Results:
- Nonlinear hydrodynamic interactions can arise from system properties affected by external forcing.
- Symmetry analysis reveals conditions for relative translation and time reversibility.
- Demonstrated applicability in diverse scenarios including boundaries and deformable particles.
Conclusions:
- Nonlinear hydrodynamic interactions are crucial for understanding driven suspension dynamics.
- Breaking of time reversibility in these systems suggests novel control mechanisms.
- Potential applications include using alternating forces for particle dispersion or assembly.
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