We present a first physical application of Tsallis’ generalized entropy to the thermodynamics of self-gravitating systems. The stellar system confined in a spherical cavity of radius re exhibits an instability, so-called gravothermal catastrophe, which has been originally investigated by...

In this paper, we continue to investigate the thermodynamic properties of stellar self-gravitating system arising from the Tsallis generalized entropy. In particular, physical interpretation of the thermodynamic instability, as has been revealed by previous paper (Physica A 307 (2002) 185), is...

We present an application of Tsallis’ generalized entropy to analysis for thermodynamical nature of the self-gravitating stellar systems. Extremizing the Tsallis entropy, we obtain an equation of the state known as stellar polytrope. And a role of the extremes as a quasi-equilibrium is shown...

We present a recent progress on the numerical study of the long-term evolution of stellar self-gravitating systems, focusing on the connection with non-extensive statistics. In particular, we discuss the quasi-equilibrium behaviors found in the previous N-body simulations. Using the...

We discuss quantum decoherence in an open system which couples with a non-linear environment with finite degrees of freedom. Even if the degrees of freedom of the environment are finite, the strong non-linearity of the environment is expected to destroy quantum coherence of the open system like...