The equilibrium distributions of probabilities are derived on the basis of the maximum entropy principle (MEP) for the Renyi and Tsallis entropies. New S-forms for the Renyi and Tsallis distribution functions are found which are normalised with corresponding entropies in contrast to the usual...

Entropy and temperature of a system in a coherent state are naturally defined on the base of a density matrix of the system. The Bekenstein–Hawking entropy and temperature of a black hole can also be interpreted as an entropy and temperature of coherent states of a physical vacuum in the...

The effect of Debye–Hückel exponential screening of the Coulomb potential of a static charge is a widely known phenomenon of a system of oppositely charged particles. There is no such effect in gravitating systems. The situation alters radically for the case of moving charged or gravitating...

The power law is found for density distributions for the chaotic systems of most different nature (physical, geophysical, biological, economical, social, etc.) on the basis of the maximum entropy principle for the Renyi entropy. Its exponent q is expressed as a function q(β) of the Renyi...