The Vlasov Equation with Infinite Mass

We show existence and uniqueness for the solutions to the Vlasov equation for a positive, smooth and short-range potential, in the case of unbounded mass.     

On the Violation of Ohm’s Law for Bounded Interactions: a One Dimensional System

We consider an infinite Hamiltonian system in one space dimension, given by a charged particle subjected to a constant electric field and interacting with an infinitely extended system of particles. We discuss conditions on the particle/medium interaction which are necessary for the charged particle to reach a finite limiting velocity. We assume that the background system is initially in an equilibrium Gibbs state and we prove that for bounded interactions the average velocity of the charged particle increases linearly in time. This statement holds for any positive intensity of the electric field, thus contradicting Ohms law.Work partially supported by the GNFM-INDAM and the Italian Ministry of the University.     

Reduction of N-acyl,N′-tosylhydrazines with diborane : A simple,convenient procedure for the conversion of the carboxylic to the methyl group

Aliphatic tosylhydrazides upon treatment with diborane followed by alkaline hydrolysis yield aliphatic hydrocarbons. Aromatic hydrocarbons are produced when aromatic tosylhydrazides undergo heating in presence of diborane and are subsequently oxidated by KIO₄. A discussion on the structures of intermediate products is reported.     

A thermoelastic method to determine the thermal diffusivity

We present a method to measure the thermal diffusivity of metals. A homogeneous small heat source is fed into a cyclindrical sample of titanium by thermoelastic compression. This heating process is followed by a thermal relaxation controlled by the thermal diffusivity. The resulting temperature variation is detected by a miniature temperature sensor mounted on the lateral surface of the sample. The value so obtained for the thermal diffusivity of titanium is (6.6±0.2)·10⁻⁶ m²/s. Gruppo Nazionale Struttura della Materia del Consiglio Nazionale delle Ricerche