Strong Coupling and Nonextensive Thermodynamics

We propose a Hamiltonian-based approach to the nonextensive thermodynamics of small systems, where small is a relative term comparing the size of the system to the size of the effective interaction region around it. We show that the effective Hamiltonian approach gives easy accessibility to the thermodynamic properties of systems strongly coupled to their surroundings. The theory does not rely on the classical concept of dividing surface to characterize the system’s interaction with the environment. Instead, it defines an effective interaction region over which a system exchanges extensive quantities with its surroundings, easily producing laws recently shown to be valid at the nanoscale.

Dynamics of charged particles in fractal media

We consider the influence of the fractality of a medium on the dynamics of charged particles in the external magnetic field and show a significant increase in the sensitivity to weak effects with the fractality of a medium. The dynamical processes in the nonequilibrium nonconservative medium are analyzed in the framework of the Tsallis nonextensive thermodynamics with the use of Jackson’s derivatives.