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...

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 study a reaction–diffusion evolution equation perturbed by a space–time Lévy noise. The associated Kolmogorov operator is the sum of the infinitesimal generator of a C0-semigroup of strictly negative type acting on a Hilbert space and a nonlinear term which has at most polynomial growth,...

Twenty years ago, in my third thesis (Degos, 1991), I mentioned the problem of the formation of the opinion of the statutory auditor, and I used the catastrophe theory of René Thom. I persisted in this way with a working paper (1995) and a book [Degos, (1996), pp.171-183]. I regret not being...

The paper is concerned on the important issues of the causal or structural relations between the sustainability of the whole Universe and the dissipative systems in our bubble of Universe. Based on the gap between the general entropy velocity and the entropy velocity inside the dissipative...

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...