Random Interactions
Large Deviations for the Tagged Particle in Single File Motion
by Prof. Sanjib Sabhapandit (Raman Research Institute, Bangalore)
Tuesday, December 30, 2014
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Description |
Consider a gas of point particles moving in a one-dimensional channel with a hard-core inter-particle interaction that prevents particle crossings --- this is called single-file motion. Starting from equilibrium initial conditions the motion of a tagged particle is observed. It is well known that if the individual particle dynamics is diffusive, then the tagged particle motion is sub-diffusive, while for ballistic particle dynamics, the tagged particle motion is diffusive. The large deviation function for the tagged particle displacement has been obtained exactly, which is shown to be quite general, independent of the individual dynamics. |