带无序项的广义非线性Schroedinger方程的展开
Spreading for the generalized nonlinear Schroedinger equation with disorder
摘要：
研究了具有随机势的广义非线性Schroedinger方程的初始定域波包动力学，其中非线性项为|ψ| ^p * p是任意的。主要是短时间内，可以进行精确的数值计算被认为是。还给出了长时间的计算结果。特别地，计算了波包的平均二阶矩为~t^a形式的次扩散行为< m_{2} >。与以前的启发式论点相反，没有发现任何临界行为作为“p”的函数的证据。
英文摘要：
The dynamics of an initially localized wavepacket is studied for the generalized nonlinear Schroedinger Equation with a random potential, where the nonlinearity term is |ψ|^p*ψand "p" is arbitrary. Mainly short times for which the numerical calculations can be performed accurately are considered. Long time calculations are presented as well. In particular the subdiffusive behavior where the average second moment of the wavepacket is of the form <m_{2}>~t^a is computed. Contrary to former heuristic arguments, no evidence for any critical behavior as function of "p" is found. The properties of α(t) are explored.
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