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.
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