4 papers
Quantum treatment of Verlinde's entropic force conjecture
A. Plastino, M. C. Rocca, G. L. Ferri
Verlinde conjectured that gravitation is an emergent entropic force. This surprising conjecture was proved in [Physica A {\bf 505} (2018) 190] within a purely classical context. He…
Dimensionally regularized Boltzmann-Gibbs Statistical Mechanics and two-body Newton's gravitation
D. J. Zamora, M. C. Rocca, A. Plastino +1
It is believed that the canonical gravitational partition function associated to the classical Boltzmann-Gibbs (BG) distribution cannot be constructe…
Dimensionally regularized Tsallis' Statistical Mechanics and two-body Newton's gravitation
J. D. Zamora, M. C. Rocca, A. Plastino +1
Typical Tsallis' statistical mechanics' quantifiers like the partition function and the mean energy exhibit poles. We are speaking of the partition function and the mean…
Features of the fractional diffusion-advection equation
M. C. Rocca, A. R. Plastino, A. L. Plastino +2
We advance an exact, explicit form for the solutions to the fractional diffusion-advection equation. Numerical analysis of this equation shows that its solutions resemble power-law…