The thermodynamic analysis of open systems is fundamental in engineering. For the open systems at their steady state, two apparently opposed principles for the rate of entropy production have been used: the minimum entropy production rate derived by Prigogine, used in the description of various...

A stochastic model for the evolution of a cellular network driven by dissipative forces is presented. The model is based on a variational formulation for the dissipated power, from which we obtain an expression for the transition-rate generating function to be used in kinetic Monte Carlo...

We discuss the applicability of the adiabatic theory to the quantum version of a classically chaotic system using as an example the Fermi Accelerator. The behavior of this system is analyzed for different values of the characteristic action of the system. We derive an analytical expression for...

Lie groups involving potential symmetries are exposed in view of applications to physics. The system of magnetohydrodynamic equations for incompressible matter with Ohm's law for finite resistivity and Hall current is studied in Cartesian geometry. The equations for the evolution of the plasma...

Open systems are very important in science and engineering for their applications and the analysis of the real word. At their steady state, two apparently opposed principles for their rate of entropy production have been proposed: the minimum entropy production rate and the maximum entropy...

We address the question of how a quantum particle exchanges energy with a moving wall with an imposed smooth, periodic motion law. In the semiclassical region of parameter space, the energy gain of the particle is initially consistent with the classical result. This correspondence is maintained...

We examine the existence of an invariant manifold in the phase space structure presented by a dissipative four-wave coupling. We show that, once in such manifold, the system preserves two quantities as time evolves: a quantity related to the energy of the system and another, related to the...

We investigate the solution of space–time fractional diffusion equations with a generalized Riemann–Liouville time fractional derivative and Riesz–Feller space fractional derivative. The Laplace and Fourier transform methods are applied to solve the proposed fractional diffusion equation....

We summarize the relations among three classes of laws: infinitely divisible, selfdecomposable and stable. First we look at them as the solutions of the Central Limit Problem; then their role is scrutinized in relation to the Lévy and the additive processes with an emphasis on stationarity and...

Student’s t-distributions are widely used in financial studies as heavy-tailed alternatives to normal distributions. As these distributions are not closed under convolution, there exist no Lévy processes with Student’s t-marginals at all points in time. In this article we show that a...