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Order-disorder transitions in a sheared many-body system
Jens C Pfeifer1, Tobias Bischoff2, Georg Ehlers1
1Fachbereich Physik, Philipps-Universität Marburg, 35032 Marburg, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2016
Summary
This study investigates sheared particle systems, revealing transitions between ordered and disordered phases. Low diffusion phases form regular lattices, while disordered states exhibit shear bands and irreversible motion.
Area of Science:
- Physics
- Soft Matter Physics
- Statistical Mechanics
Background:
- Experiments on sheared suspensions show phase transitions between ordered and disordered states.
- Understanding the long-time behavior of sheared systems is crucial for materials science.
Purpose of the Study:
- To study the long-time behavior of a sheared and overdamped two-dimensional system of particles with repulsive forces.
- To identify phase transitions based on interaction strength and shear rate.
- To characterize the ordered and disordered phases and their dynamics.
Main Methods:
- Simulating a sheared and overdamped two-dimensional system of particles.
- Analyzing single-particle diffusion coefficients.
- Investigating particle-particle correlation functions.
- Examining the formation of shear bands and lattice structures.
Main Results:
- Transitions observed between phases with vanishing and large single-particle diffusion.
- Low diffusion phases evolve towards regular lattices on slow timescales.
- Disordered states emerge in regions where regular lattices are unstable.
- Two-particle correlation functions reveal shear bands and phase-specific dynamics.
Conclusions:
- The system exhibits distinct ordered and disordered phases governed by interaction strength and shear rate.
- Spatially resolved correlation functions are key to identifying phases and their dynamics.
- Low diffusivity phases show reversible motion, contrasting with irreversible motion in high diffusivity phases.
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