2024
DOI: 10.1209/0295-5075/ad7dae
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Approach to stationarity for the KPZ fixed point with boundaries

Sylvain Prolhac

Abstract: Current fluctuations for the one-dimensional totally asymmetric exclusion process (TASEP) connected to reservoirs of particles, and their large scale limit to the KPZ fixed point in finite volume, are studied using exact methods. Focusing on the maximal current phase for TASEP, corresponding to infinite boundary slopes for the KPZ height field, we obtain for general initial condition an exact expression for the late time correction to stationarity, involving extreme value statistics of Brownian paths. In the s… Show more

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