The single-cluster Monte Carlo algorithm and the reweighting technique are used to simulate the 3D ferromagnetic Ising model on 3D Voronoi–Delauney lattices. It is assumed that the coupling factor J varies with the distance r between the first neighbors as J(r)∝e−ar, with a≥0. The...

In this work, we address modal parameter fluctuations in statistical distributions describing charge-to-breakdown (QBD) and/or time-to-breakdown (tBD) during the dielectric breakdown regime of ultra-thin oxides, which are of high interest for the advancement of electronic technology. We reobtain...

We obtain the relations between macroscopic thermodynamical properties and microscopic ensemble averages of a system in contact with a heat bath which has a finite number of degrees of freedom. Our approach is based on the geometry of the accessible phase space of the system. By using a suitable...

We have recently shown that the dispersion and the energy square relative fluctuations of a finite system in contact with a finite heat bath depends on the number of degrees of freedom of the system and of the bath. In this paper, we present numerical simulations which support this result.

We calculate the fluctuation of a system's energy in Tsallis statistics following the finite heat bath canonical ensemble approach. We obtain this fluctuation as the second derivative of the logarithm of the partition function plus an additional term. We also find an explicit expression for the...

The self-organized percolation process (SOP) is a growth model in which a critical percolation state is reached through self-organization. By controlling the number of sites or bonds in the growth front of the aggregate, the system is spontaneously driven to a stationary state that corresponds...

In this work assuming that the equipartition theorem is valid and using the normalized q-expectation value, we obtain, until first-order approximation, the hydrodynamics equation for the generalized statistics. These equations are different from those obtained in the context of the...

The influence of turbulent effects on a fluid flow through a (pseudo) porous media is studied by numerically solving the set of Reynolds-averaged Navier-Stokes equations with the κ–ε model for turbulence. The spatial domains are two-dimensional rectangular grids with different porosities...

The Handscomb Monte Carlo method is a powerful tool for the investigation of the critical properties of quantum spin models. The sample space in this technique is constructed over the space of ordered Mayer's diagrams and it is the diagrammatic series of the partition function that is calculated...