IISER Pune
INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
where tomorrow’s science begins today
An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
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Seminars and Colloquia

Physics

Run-and-tumble particles on a 1D lattice 
 
Wed, Aug 14, 2019,   04:00 PM at Seminar Hall 31, 2nd Floor, Main Building

Dr. Rahul Dandekar
IMSc, Chennai

Abstract:
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.
 

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