Microscopic theory for the phase separation of self-propelled repulsive disks
TLDR
In this article, a microscopic model for self-propelled particles lacking alignment interactions is presented, and the authors demonstrate that the microscopic origin of the instability is a force imbalance due to an anisotropic pair distribution leading to self-trapping.Abstract:
Motivated by recent experiments on colloidal suspensions, we study analytically and numerically a microscopic model for self-propelled particles lacking alignment interactions. In this model, even for purely repulsive interactions, a dynamical instability leading to phase separation has been reported. Starting from the many-body Smoluchowski equation, we develop a mean-field description based on a novel closure scheme and derive the effective hydrodynamic equations. We demonstrate that the microscopic origin of the instability is a force imbalance due to an anisotropic pair distribution leading to self-trapping. The phase diagram can be understood in terms of two quantities: a minimal drive and the force imbalance. At sufficiently high propulsion speeds there is a reentrance into the disordered fluid.read more
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TL;DR: The physics of locomotion of biological and synthetic microswimmers, and the collective behavior of their assemblies, are reviewed and the hydrodynamic aspects of swimming are addressed.
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Physics of Microswimmers - Single Particle Motion and Collective Behavior
TL;DR: In this article, the authors review the physics of locomotion of biological and synthetic microswimmers, and the collective behavior of their assemblies, including synchronization and the concerted beating of flagella and cilia.
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Emergent behavior in active colloids
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References
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Theory of simple liquids
TL;DR: In this article, the authors present a mathematical model for time-dependent correlation functions and response functions in liquid solvers, based on statistical mechanics and molecular distribution functions, and show that these functions are related to time correlation functions in Ionic and Ionic liquids.
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Novel Type of Phase Transition in a System of Self-Driven Particles
TL;DR: Numerical evidence is presented that this model results in a kinetic phase transition from no transport to finite net transport through spontaneous symmetry breaking of the rotational symmetry.
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Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids
TL;DR: In this paper, the Fourier transform of the pair correlation function is used to calculate the structure factor of a reference system in which the intermolecular forces are entirely repulsive and identical to the repulsive forces in a Lennard-Jones fluid.
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Catalytic Nanomotors: Autonomous Movement of Striped Nanorods
Walter F. Paxton,Kevin C. Kistler,Christine C. Olmeda,Ayusman Sen,Sarah K. St. Angelo,Yanyan Cao,Thomas E. Mallouk,Paul E. Lammert,Vincent H. Crespi +8 more
TL;DR: By solving the convection-diffusion equation in the frame of the moving rod, it was found that the interfacial tension force scales approximately as SR(2)gamma/muDL, where S is the area-normalized oxygen evolution rate, gamma is the liquid-vapor interfacial pressure, R is the rod radius, mu is the viscosity, D is the diffusion coefficient of oxygen, and L is the length of the rod.
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Living Crystals of Light-Activated Colloidal Surfers
TL;DR: A form of self-organization from nonequilibrium driving forces in a suspension of synthetic photoactivated colloidal particles is demonstrated, which leads to two-dimensional "living crystals," which form, break, explode, and re-form elsewhere.