49 citations · 69 across the 8 of their papers we have counts for
8 papers
Renyi Thermostatistics and Self-Organization
A. G. Bashkirov
Taking into account extremum of a Helmholtz free energy in the equilibrium state of a thermodynamic system the Renyi entropy is derived from the Boltzmann entropy by the same way a…
Comments on paper by B.Lesche (Phys. Rev. E {\bf 70}, 017102 (2004)) "Renyi entropies and observables"
A. G. Bashkirov
It is shown that Lesche's conclusions on instability of the Renyi entropy are the same for the Tsallis entropy, as well. Moreover, they are unjustified for both entropies.
The Renyi entropy as a "free entropy" for complex systems
A. G. Bashkirov
The Boltzmann entropy is true in the case of equal probability of all microstates of a system. In the opposite case it should be averaged over all microstates that gives…
Comments on "Stability of Tsallis entropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions"
Andrei G. Bashkirov
It is shown that the Renyi entropy is as stable as the Tsallis entropy at least for Abe-Lesche counterexamples.
Maximum Renyi entropy principle for systems with power--law Hamiltonian
A. G. Bashkirov
The Renyi distribution ensuring the maximum of a Renyi entropy is investigated for a particular case of a power--law Hamiltonian. Both Lagrange parameters, and can be exclu…
Long-range attraction between particles in dusty plasma and partial surface tension of dusty phase boundary
Andrei G. Bashkirov
Effective potential of a charged dusty particle moving in homogeneous plasma has a negative part that provides attraction between similarly charged dusty particles. A depth of this…