Séminaire du LPTMS: Tridib Sadhu


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Large deviation in single-file diffusion

Tridib Sadhu, IPhT Saclay

Single-file diffusion is referred to the motion of many particles in narrow channel where particles can not pass each other. As a consequence of the forbidden mutual passage the motion of individual particles is sub-diffusive. I shall apply the macroscopic fluctuation theory to analyse the probability distribution of position of a tracer particle in a large class of single-file systems. For Brownian point particles with hard-core repulsion this macroscopic approach leads to a parametric expression of the large deviation function of tracer position. I shall compare the results with that obtained in our exact microscopic analysis. I shall emphasise the unusual dependence of the statistics of the tracer position on the initial state.

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