A procedure for loading particle velocities from a relativistic kappa distribution in particle-in-cell (PIC) and Monte Carlo simulations is presented. It based on the rejection method beta prime distribution. The part extends earlier Maxwell-Juttner distribution, then acceptance rate reaches ~95%. Utilizing generalized distributions, we successfully reproduce including power-law tail. derivatio...

Technological Innovation, Financial Fragility and Complex Dynamics In this paper we suggest a scaling approach to business cycles. We develop a heterogeneous interacting agents (HIAs) model that replicates well known industrial dynamics stylized facts, as the power law distribution of firms’ size and the Laplace distribution of firms’ growth rates. In particular, the power law is a persistent b...

We evaluate analytically and numerically the size of the frozen core and various scaling laws for critical Boolean networks that have a power-law in- and/or out-degree distribution. To this purpose, we generalize an efficient method that has previously been used for conventional random Boolean networks and for networks with power-law in-degree distributions. With this generalization, we can als...

Dynamical systems in nature exhibit selfsimilar fractal fluctuations and the corresponding power spectra follow inverse power law form signifying long-range space-time correlations identified as self-organized criticality. The physics of selforganized criticality is not yet identified. The Gaussian probability distribution used widely for analysis and description of large data sets underestimat...