Current fluctuations for the second class particle : joint statistics

2025/03/13 by Prolhac, Sylvain
#FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2503.10531

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.

Related

• Scaling Properties of Current Fluctuations in Periodic TASEP
• Current fluctuations for the totally asymmetric simple exclusion process
• An upper bound on the fluctuations of a second class particle
• Shock fluctuations in TASEP under a variety of time scalings
• High cumulants of current fluctuations out of equilibrium