4 papers
The Scale Invariance Behind Boltzmann Counting
M. H. Benetti
Boltzmann counting possesses an exact scale invariance from which the specific entropy emerges without asymptotic approximation. Under thermodynamic replication, this invariance ex…
Kappa Entropy and its Thermodynamic Connection
J. A. S. Lima, M. H. Benetti
Adopting a bottom-up perspective, we propose a novel two-parametric nonadditive entropy, , associated with a Kappa-type power-law velocity distribution, ,…
Unified Description of Kappa-type velocity distributions
J. A. S. Lima, M. H. Benetti
An extension of Maxwell's original prescription for an ideal gas is adopted to derive a broad class of Kappa-type velocity distributions, encompassing both fat and short-tailed for…
Non-Gaussian velocity distributions Maxwell would understand
J. A. S. Lima, M. H. Benetti
In 1988, Constantino Tsallis proposed an extension of the Boltzmann statistical mechanics by postulating a new entropy formula, , where is the number of micro…