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Motility-Induced Phase Separation
A selective overview of the fast-developing field of MIPS, focusing on theory and effects, is given, which generally breaks down at higher order in gradients.
Statistical mechanics of interacting run-and-tumble bacteria.
This work considers self-propelled particles undergoing run-and-tumble dynamics (as exhibited by E. coli) in one dimension and adds both interactions and noise, enabling discussion of domain formation by "self-trapping," and other collective phenomena.
When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
Active Brownian particles (ABPs, such as self-phoretic colloids) swim at fixed speed v along a body-axis u that rotates by slow angular diffusion. Run-and-tumble particles (RTPs, such as motile
How Far from Equilibrium Is Active Matter?
It is shown how interacting particle systems with viscous drags and correlated noises can be seen as in equilibrium with a viscoelastic bath but driven out of equilibrium by nonconservative forces, hence providing energetic insight into the departure of active systems from equilibrium.
Arrested phase separation in reproducing bacteria creates a generic route to pattern formation
A mathematical model of the formation of patterns strikingly similar to some of those believed to result from chemotactic behavior is formulated in a case involving run-and-tumble bacteria and makes connections with a wider class of mechanisms for density-dependent motility.
Pattern formation in self-propelled particles with density-dependent motility.
It is shown that interactions lead generically to the formation of a host of patterns, including moving clumps, active lanes, and asters, which could explain many of the patterns seen in recent experiments and simulations.
From phase to microphase separation in flocking models: the essential role of nonequilibrium fluctuations.
It is shown that the flocking transition in the Vicsek model is best understood as a liquid-gas transition, rather than an order-disorder one, which highlights an unexpected role of fluctuations in the selection of flock shapes.
Active brownian particles and run-and-tumble particles: A comparative study
Active Brownian particles (ABPs) and Run-and-Tumble particles (RTPs) both self-propel at fixed speed v along a body-axis u that reorients either through slow angular diffusion (ABPs) or sudden
A numerical approach to large deviations in continuous time
We present an algorithm to evaluate large deviation functions associated to history-dependent observables. Instead of relying on a time discretization procedure to approximate the dynamics, we