论文标题
汉堡方程，具有有限粒子校正的不对称简单排除过程，该过程源自衍生物非线性schrödinger方程
Burgers equation with finite particle correction of the asymmetric simple exclusion process derived from the derivative nonlinear Schrödinger equation
论文作者
论文摘要
我们研究了环上不对称简单排除过程（ASEP）的动力学。 ASEP等同于衍生的非线性Schrödinger方程（DNLS），该方程在连续限制下是可集成的量子场理论。我们从DNL中得出有限粒子校正的汉堡方程，并在数值上确认所获得的汉堡方程描述了与常规汉堡方程更好的少数颗粒的ASEP的动力学。
We investigate the dynamics of the asymmetric simple exclusion process (ASEP) on a ring. The ASEP is equivalent to the derivative nonlinear Schrödinger equation (DNLS), which is integrable quantum field theory, in the continuous limit. We derive the Burgers equation with finite particle correction from the DNLS and numerically confirm that the obtained Burgers equation describes the dynamics of the ASEP at small numbers of particles better than the conventional Burgers equation.
