Fractal geometry of critical Potts clusters
نویسندگان
چکیده
منابع مشابه
Fractal Dimensions and Corrections to Scaling for Critical Potts Clusters
Renormalization group and Coulomb gas mappings are used to derive theoretical predictions for the corrections to the exactly known asymptotic fractal masses of the hull, external perimeter, singly connected bonds and total mass of the FortuinKasteleyn clusters for two-dimensional q-state Potts models at criticality. For q = 4 these include exact logarithmic (as well as log log) corrections.
متن کاملA study on dimensions of Fractal geometry in Iranian architecture
The subject of geometry and proportions has been regarded as an issue which has a close relationship with architecture. Since the entire universe, living beings and the human geometry can be seen clearly, that’s why our unconscious essence has accustomed to these proportions whereby reflection of this mentality can be seen in the architect’s hands and thought in the architecture. It can witness...
متن کاملManufacturability of Fractal Geometry
Nowadays more and more aesthetic product developments, assemblage and decoration designs are taking aesthetically appealing forms of natural objects such as rough terrain, ripples on lakes, coastline and seafloor topography. They are mathematical definable via fractal geometry theory and emerge to attract a lot of attention. However, not many methods for manufacturing of fractal objects have be...
متن کاملPercolation fractal exponents without fractal geometry
Classically, percolation critical exponents are linked to the power laws that characterize percolation cluster fractal properties. It is found here that the gradient percolation power laws are conserved even for extreme gradient values for which the frontier of the infinite cluster is no more fractal. In particular the exponent 7/4 which was recently demonstrated to be the exact value for the d...
متن کامل8 . Fractal Geometry
Since Euclid (300 BC) we have been used to perceiving nature with the concept of a threedimensional (3-D) geometry. We measure linear structures in one dimension, area-like structures in two dimensions, and volume-like structures in three dimensions. However, when we measure an object in terms of these three dimensions, we are aware that the geometric model describes a solid body, while a natur...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2005
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2005-00020-0