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Rahul Dandekar (Institute of Mathematical Sciences, Chennai)
Date & Time
Thu, 08 August 2019, 11:00 to 12:00
Emmy Noether Seminar Room, ICTS Campus, Bangalore

We study run-and-tumble particles (RTPs) on a 1D lattice, where each lattice site cannot hold more than one particle. Each RTP carries a spin which points in the positive or negative direction, and hops on the lattice at unit rate in the direction of the spin. The spin itself flips at a rate D_r.   

I will show that the steady-state of the model determined using the independent interval approximation shows excellent  agreement with simulations for D_r>1. I will also also derive the  hydrodynamics in this picture, and show that there are strong non- equilibrium effects, like the violation of the Einstein relation. I  will also briefly describe a coalescence picture for D_r << 1, and time permitting, describe the hydrodynamics in this limit.