We illustrate the general principle that in biophysics, econophysics and possibly even city growth, the conceptual framework provided by scaling and universality may be of use in making sense of complex statistical data. Specifically, we discuss recent work on DNA sequences, heartbeat intervals,...

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 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...

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...

The quenched site-diluted Ising ferromagnet on a square lattice, for which each site is occupied or empty with probabilities p and 1 − p, respectively, is studied numerically through damage-spreading procedures. By making use of the Glauber dynamics, the percolation threshold pc is estimated....