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Abstract: We study the fluctuations of the total current for the partially asymmetricexclusion process in the scaling of a weak asymmetry asymmetry of order theinverse of the size of the system using Bethe Ansatz. Starting from thefunctional formulation of the Bethe equations, we obtain for all the cumulantsof the current both the leading and next-to-leading contribution in the size ofthe system.



Author: Sylvain Prolhac, Kirone Mallick

Source: https://arxiv.org/



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