arXiv subjects
Publications and source records attributed to R. Trasarti-Battistoni.
It is shown that the energy density formulas of Newtonian gravity by Maxwell, Bondi and Ohanian cannot be distinguished by boundary conditions, and also the corresponding energy balances are identical. However, they are not equivalent. From a thermodynamic point of view, the Ohanian energy density is distinguished.
Quantum characteristics of the Topological Non-connectivity Threshold (TNT), introduced in F.Borgonovi, G.L.Celardo, M.Maianti, E.Pedersoli, J. Stat. Phys., 116, 516 (2004), have been analyzed in the hard quantum regime. New interesting perspectives in term of the possibility to study the intriguing quantum-classical transition through Macroscopic Quantum Tunneling have been addressed.
We demonstrate the existence of a topological disconnection threshold, recently found in Ref. \cite{JSP}, for generic $1-d$ anisotropic Heisenberg models interacting with an inter--particle potential $R^{-α}$ when $0<α< 1$ (here $R$ is the distance among spins). We also show that if $α$ is greater than the embedding dimension $d$ then the ratio between the disconnected energy region and the total energy region goes to zero when the number of spins becomes very large. On the other hand, numerical simulations in $d=2,3$ for the long-range case $α< d$ support the conclusion that such a ratio remains finite for large $N$ values. The disconnection threshold can thus be thought as a distinctive property of anisotropic long-range interacting systems.