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Tagged Particle in Single-File Diffusion

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Academic year: 2021

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Fig. 1 A sample trajectory of Brownian point particles with hard-core repulsion. The trajectories may come infinitely close but never cross each other, keeping the order of particles unchanged.
Fig. 2 The optimum density field q(x, t), Eq. (39), at different times. We set ρ = 1, B = 2 and T = 1, and determined Y from (42)
Fig. 3 The optimum density field q(x, t) in (53) for the annealed case at different times
Fig. 4 The large deviation function φ(y) of the tagged particle position in the annealed and quenched settings.
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