Fluctuation exponent of the KPZ/stochastic Burgers equation
Fluctuation exponent of the KPZ/stochastic Burgers equation
复制标题
KPZ/随机 Burgers 方程的涨落指数
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
T. Seppäläinen
中科院分区：
文献类型：
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作者：
M. Balázs;J. Quastel;T. Seppäläinen
（1.4） hε(t, x) = ε 1/2h（ε−zt, ε−1x）。我们将在平衡状态下考虑这些模型，在这种情况下，h(t, x)−h（t, 0）是一个双侧布朗运动，每个t的方差为ν−1σ2。（1.3）有许多物理论据，没有一个是严格分析的良好起点，而且只有在它们得到数值工作的很好支持的意义上才真正令人信服。也许最简单的是注意到重新标度的εh（·，ε−1x）
(1.4) hε(t, x) = ε 1/2h(ε−zt, ε−1x). We will be considering these models in equilibrium, in which case h(t, x)−h(t, 0) is a two-sided Brownian motion with variance ν−1σ2 for each t. There are many physical arguments for (1.3), none of which are good starting points for rigorous analysis, and which are really only convincing in the sense that they are very well backed up by numerical work. Perhaps the simplest is to note that the rescaling εh(·, ε−1x)