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...

The one-body dissipation mechanism has been successfully employed in the description of nuclear reactions at intermediate energies. However, detailed simulations show that quantum localization would strongly suppress this dissipation mechanism. The fact that particle emission accompanies the...

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...

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...

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...

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...

The spectrum of a double well constructed of a square barrier embedded in an infinite well is analyzed. Level statistics for levels slightly above the barrier show signs of Wigner statistics usually associated with quantum chaos. The correspondence with Wigner statistics improves when an...

We discuss the problem of two quantum particles confined to a circular billiard, interacting through a Yukawa potential and subjected to a weak constant magnetic field. From the statistical analysis of the energy spectrum, we show that the system presents a very interesting oscillation between...

It is shown, using results of recent numerical simulations of different authors, that multifractality of some quantum systems with a continuous spectrum has a branched critical nature. It is also shown, using multifractal analysis of the atomic spectral line series of cobalt and argon, that the...