Superdiffusivity of the 1D Lattice Kardar-Parisi-Zhang Equation
Superdiffusivity of the 1D Lattice Kardar-Parisi-Zhang Equation
复制标题
一维晶格 Kardar-Parisi-Zhang 方程的超扩散性
DOI：
10.1007/s10955-009-9831-0
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发表时间：
2009
影响因子：
1.6
通讯作者：
H. Spohn
中科院分区：
文献类型：
--
作者：
T. Sasamoto;H. Spohn
一维连续介质kardar - paris - zhang方程被晶格离散，使其漂移部分无散度。这样就可以明确地确定平稳度量。我们将晶格KPZ方程映射到具有三次反厄米特非线性的玻色子场理论。从而证明了平稳两点函数是超扩散扩散的。
The continuum Kardar-Parisi-Zhang equation in one dimension is lattice discretized in such a way that the drift part is divergence free. This allows to determine explicitly the stationary measures. We map the lattice KPZ equation to a bosonic field theory which has a cubic anti-hermitian nonlinearity. Thereby it is established that the stationary two-point function spreads superdiffusively.