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Current fluctuations for the second class particle : joint statistics

Published 13 Mar 2025 in cond-mat.stat-mech, math-ph, and math.MP | (2503.10531v1)

Abstract: We consider TASEP with a single second class particle and periodic boundary conditions. Using Bethe ansatz, we compute stationary large deviations for the joint statistics of the current of first and second class particles. At large scales, the generating function of the joint cumulants shows an unexpected connection to current fluctuations of TASEP with open boundaries.

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Authors (1)

  1. Sylvain Prolhac 

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