We investigate two-dimensional systems of interacting active Brownian particles. Each system is analyzed using different techniques. Using the Martin–Siggia–Rose–Janssen–de Dominicis formalism, we construct the generating functional for correlation functions. We study in detail the hydrodynamic regime associated with a constant-density stationary state. Our findings reveal that, within a regime of small density fluctuations, an emergent U(1) gauge symmetry arises, originating from the conservation of fluid vorticity. In the second system, starting from an individual-based model and numerical simulations, we derive a complete set of dynamical field equations for the density and polarization of non-conserved active particles. We demonstrate the appearance of an emergent flocking transition without any alignment interactions.
This IFISC Seminar will be broadcasted in the following zoom link: https://us06web.zoom.us/j/89027654460?pwd=Wg9TYMPqqP2ipfj2JVvEagmzaTw29c.1
Coffee and cookies will be served 15 minutes before the start of the seminar
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