For periodic TASEP, the current fluctuation function grows linearly with system size for positive tilt and saturates at -1 for negative tilt, while the relaxation gap decays polynomially or exponentially, respectively.
Spectral gap of the totally asym- metric exclusion process at arbitrary filling
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Scaling Properties of Current Fluctuations in Periodic TASEP
For periodic TASEP, the current fluctuation function grows linearly with system size for positive tilt and saturates at -1 for negative tilt, while the relaxation gap decays polynomially or exponentially, respectively.