تقرير
Origins of scaling relations in nonequilibrium growth
| العنوان: | Origins of scaling relations in nonequilibrium growth |
|---|---|
| المؤلفون: | Escudero, Carlos, Korutcheva, Elka |
| المصدر: | J. Phys. A: Math. Theor. 45 (2012) 125005 |
| سنة النشر: | 2010 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Materials Science, Mathematical Physics |
| الوصف: | Scaling and hyperscaling laws provide exact relations among critical exponents describing the behavior of a system at criticality. For nonequilibrium growth models with a conserved drift there exist few of them. One such relation is $\alpha +z=4$, found to be inexact in a renormalization group calculation for several classical models in this field. Herein we focus on the two-dimensional case and show that it is possible to construct conserved surface growth equations for which the relation $\alpha +z=4$ is exact in the renormalization group sense. We explain the presence of this scaling law in terms of the existence of geometric principles dominating the dynamics. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/1004.2725Test |
| رقم الانضمام: | edsarx.1004.2725 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |