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Irreversible Processes in the Context of a Nonequilibrium Statistical Ensemble Formalism

We consider the question of the study of irreversible processes on the basis of a nonequilibrium ensemble formalism, which provides foundations to the so-called Informational Statistical Thermodynamics. Its functioning is illustrated in an application to the study of relaxation processes in a many-boson system in interaction with a thermal bath. It is shown that the kinetic equation for the evolution of the average boson-field amplitude is of the type of a nonlinear Schrödinger equation with damping. The solution shows the presence of complex behavior in the system, consisting in that the set of possible excitations contains one associated to a solitary-wave, the so-called Davydov’s soliton with damping. Solid state and biophysical systems are candidates to present this type of behavior. A particular comparison with experiment is presented for the case of organic molecular polymers.