论文标题
在最大电流期开放tasep的光谱间隙
Spectral gaps of open TASEP in the maximal current phase
论文作者
论文摘要
我们研究一维完全不对称的简单排除过程（TASEP）的光谱间隙，并在最大电流阶段具有开放界限。具有周期性边界的模型的早期结果表明，有助于通用KPZ制度的差距可以理解为在无限属的riemann表面上，该点是根据电流累积生成函数的参数表示构建的。我们对开放的tasep进行了明确的分析连续性，并通过精确的bethe ansatz计算确认了差距的结果，并使用高精度外推数字进行了其他检查。
We study spectral gaps of the one-dimensional totally asymmetric simple exclusion process (TASEP) with open boundaries in the maximal current phase. Earlier results for the model with periodic boundaries suggest that the gaps contributing to the universal KPZ regime may be understood as points on an infinite genus Riemann surface built from a parametric representation of the cumulant generating function of the current. We perform explicit analytic continuations from the known large deviations of the current for open TASEP, and confirm the results for the gaps by an exact Bethe ansatz calculation, with additional checks using high precision extrapolation numerics.
