A derivation of power law canonical distributions from first principle statistical mechanics, including the exponential distribution as a particular case is presented. It is shown that these distributions arise naturally, and that the heat capacity of the heat bath is the condition that...

The proportional elections held in Brazil in 1998 and 2002 display identical statistical signatures. In particular, the distribution of votes among candidates includes a power-law regime. We suggest that the rationale behind this robust scaling invariance is a multiplicative process in which the...

This is an analysis of the thermodynamical entropy of systems with finite heat baths and of its additivity. It is presented an expression for the physical entropy of weakly interacting ergodic systems, and it is shown how it relates to the traditional entropies of the micro-canonical (constant...

We study the oil displacement and production behavior in an isothermal thin layered reservoir model subjected to water flooding. We use the CMG’s (Computer Modelling Group) numerical simulators to solve mass balance equations. The influences of the viscosity ratio (m≡μoil/μwater) and the...

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...

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...

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 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 study the fluid flow through disordered porous media by numerically solving the complete set of the Navier–Stokes equations in a two-dimensional lattice with a spatially random distribution of solid obstacles (plaquettes). We simulate viscous and non-viscous flow through these idealized...

We study the spreading of damage in S = 12 Ising ferromagnetic thin films consisting of two and more monolayers. We use Metropolis dynamics to calculate the temperature dependence of the Hamming distance as well as Hamming distance distributions along the Markov chain. We suggest a new way to...