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- Julien Tailleur, M. E. Cates
- Physical review letters
- 2008

We consider self-propelled particles undergoing run-and-tumble dynamics (as exhibited by E. coli) in one dimension. Building on previous analyses at drift-diffusion level for the one-particle… (More)

- M. E. Cates, Davide Marenduzzo, Ignacio Pagonabarraga, Julien Tailleur
- Proceedings of the National Academy of Sciences…
- 2010

We present a generic mechanism by which reproducing microorganisms, with a diffusivity that depends on the local population density, can form stable patterns. For instance, it is known that a… (More)

We present an algorithm to evaluate large deviation functions associated to historydependent observables. Instead of relying on a time discretisation procedure to approximate the dynamics, we provide… (More)

Self-propelled particles include both self-phoretic synthetic colloids and various micro-organisms. By continually consuming energy, they bypass the laws of equilibrium thermodynamics. These laws… (More)

- Fred D Farrell, Mauro Marchetti, Davide Marenduzzo, Julien Tailleur
- Physical review letters
- 2012

We study the behavior of interacting self-propelled particles, whose self-propulsion speed decreases with their local density. By combining direct simulations of the microscopic model with an… (More)

- Alexandre P. Solon, Joakim Stenhammar, +4 authors Julien Tailleur
- Physical review letters
- 2015

We derive a microscopic expression for the mechanical pressure P in a system of spherical active Brownian particles at density ρ. Our exact result relates P, defined as the force per unit area on a… (More)

- Agnes Solon, Julien Tailleur
- Physical review letters
- 2013

We consider an active Ising model in which spins both diffuse and align on lattice in one and two dimensions. The diffusion is biased so that plus or minus spins hop preferably to the left or to the… (More)

- Alexandre P. Solon, Hugues Chaté, Julien Tailleur
- Physical review letters
- 2015

We show that the flocking transition in the Vicsek model is best understood as a liquid-gas transition, rather than an order-disorder one. The full phase separation observed in flocking models with… (More)

In these notes we present a pedagogical account of the population dynamics methods recently introduced to simulate large deviation functions of dynamical observables in and out of equilibrium. After… (More)

Atypical, rare trajectories of dynamical systems are important: they are often the paths for chemical reactions, the haven of (relative) stability of planetary systems, the rogue waves that are… (More)