Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2025

Current fluctuations for the second class particle: joint statistics

Résumé

We consider totally asymmetric simple exclusion process (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.

Dates et versions

hal-05238316 , version 1 (03-09-2025)

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Citer

Sylvain Prolhac. Current fluctuations for the second class particle: joint statistics. Journal of Physics A: Mathematical and Theoretical, 2025, 58 (32), pp.325004. ⟨10.1088/1751-8121/adf610⟩. ⟨hal-05238316⟩
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