Models with mixed origins of anomalous subdiffusion have been considered important for understanding transport in biological systems. Here one such mixed model, the quenched-trap model (QTM) on fractal lattices, is investigated. It is shown that both ensemble- and time-averaged mean-square displacements (MSDs) show subdiffusion with different scaling exponents, i.e., this system shows weak ergo...

The fractal dimension estimate for two-variable fractional Brownian motion using the maximum likelihood estimate (MLE) is developed. We formulate a model to describe the two-variable fractional Brownian motion, then derive the likelihood function for that model and estimate the fractal dimension by maximizing the likelihood function. We then compare the MLE with the box-dimension estimation met...

We report a numerical study of van der Waals adsorption and capillary condensation effects on self-similar fractal surfaces. An assembly of uncoupled spherical pores with a power-law distribution of radii is used to model fractal surfaces with adjustable dimensions. We find that the commonly used fractal Frankel-Halsey-Hill equation systematically fails to give the correct dimension due to cros...

Worms have been becoming a serious threat in web age because worms can cause huge loss due to the fast-spread property. To detect worms effectively, it is important to investigate the characteristics of worm traffic at individual source level. We model worm traffic with the multi-fractal process, and compare the multi-fractal property of worm and normal traffics at individual source level. The ...

We describe an approach focussing on hierarchical composition of components during both design and development levels. We present an overview of our UML composition model which is based on well-defined composition properties. Thus we present how we have implemented a control mechanism of theses properties into Julia, an implementation of the Fractal component model. MOTS-CLÉS : UML, composition...

In this paper we show that Fractal, a generic component model coming from the Component-Based Software Engineering (CBSE) community, meets most of the functional expectations identified so far in the simulation community for component-based modeling and simulation. We also demonstrate that Fractal offers additional features that have not yet been identified in the simulation community despite t...

We numerically investigate the electric potential distribution over a twodimensional continuum percolation model between the electrodes. The model consists of overlapped conductive particles on the background with an infinitesimal conductivity. Using the finite difference method, we solve the generalized Laplace equation and show that in the potential distribution, there appear the quasi-equipo...