تقرير
Logarithmic superdiffusivity of the 2-dimensional anisotropic KPZ equation
| العنوان: | Logarithmic superdiffusivity of the 2-dimensional anisotropic KPZ equation |
|---|---|
| المؤلفون: | Cannizzaro, Giuseppe, Erhard, Dirk, Toninelli, Fabio |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Disordered Systems and Neural Networks, Mathematical Physics |
| الوصف: | We study an anisotropic variant of the two-dimensional Kardar-Parisi-Zhang equation, that is relevant to describe growth of vicinal surfaces and has Gaussian, logarithmically rough, stationary states. While the folklore belief (based on one-loop Renormalization Group) is that the equation has the same scaling behaviour as the (linear) Edwards-Wilkinson equation, we prove that, on the contrary, the non-linearity induces the emergence of a logarithmic super-diffusivity. This phenomenon is similar in flavour to the super-diffusivity for two-dimensional fluids and driven particle systems. Comment: 5 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2009.12934 |
| رقم الأكسشن: | edsarx.2009.12934 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |