Multifractality and Multiscaling in two dimensional fragmentation
نویسندگان
چکیده
We consider two models (A and B) which can describe both two dimensional fragmentation and stochastic fractals. Model A exhibits multifractality on a unique support when describing a fragmentation process and on one of infinitely many possible supports when describing stochastic fractals. Model B obeys simple scaling. PACS numbers: 05.20-y,02.50-r
منابع مشابه
Probability distribution function and multiscaling properties in the Korean stock market
We consider the probability distribution function (pdf) and the multiscaling properties of the index and the traded volume in the Korean stock market. We observed the power law of the pdf at the fat tail region for the return, volatility, the traded volume, and changes of the traded volume. We also investigate the multifractality in the Korean stock market. We consider the multifractality by th...
متن کاملMultifractal behavior of the Korean stock-market index KOSPI
We investigate multifractality in the Korean stock-market index KOSPI. The generalized qth order height-height correlation function shows multiscaling properties. There are two scaling regimes with a crossover time around tc = 40 min. We consider the original data sets and the modified data sets obtained by removing the daily jumps, which occur due to the difference between the closing index an...
متن کاملMultifractality and the shattering transition in fragmentation processes.
We consider two simple geometric models that can describe the kinetics of fragmentation of two dimensional particles and stochastic fractals. We find a hierarchy of independent exponents suggesting the existence of multiple phase boundary for the shattering transition when two orthogonal cracks are placed randomly on a fragments (Model A). At the same time we find a unique exponent suggesting a...
متن کاملar X iv : c on d - m at / 9 40 70 84 v 1 2 0 Ju l 1 99 4 Scaling and Multiscaling in Models of Fragmentation
We introduce a simple geometric model which describes the kinetics of fragmentation of d-dimensional objects. In one dimension our model coincides with the random scission model and show a simple scaling behavior in the long-time limit. For d > 1, the volume of the fragments is characterized by a single scale 1/t, while other geometric properties such as the length are characterized by an infin...
متن کاملModelling the catalyst fragmentation pattern in relation to molecular properties and particle overheating in olefin polymerization
A two-dimensional single particle finite element model was used to examine the effects of particle fragmental pattern on the average molecular weights, polymerization rate and particle overheating in heterogeneous Ziegler-Natta olefin polymerization. A two-site catalyst kinetic mechanism was employed together with a dynamic two-dimensional molecular species in diffusion-reaction equation. The i...
متن کامل