Equilibrium Conditions for a Particle
First Law: Particles in Two-dimensional Equilibrium
First Law: Particles in One-dimensional Equilibrium
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Updated: Nov 18, 2025

A Protocol for Real-time 3D Single Particle Tracking
Published on: January 3, 2018
Francesco Turci1, Nigel B Wilding1
1H. H. Wills Physics Laboratory, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom.
Active Brownian particles exhibit motility-induced phase separation, similar to simple fluids. This separation is driven by particle caging and multibody effects at high densities, not just pairwise attractions.
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