arXiv subjects

A. Pulvirenti

Publications and source records attributed to A. Pulvirenti.

4 recordsLinked to original sources

arXiv2025

Fokker--Planck equations and n--dimensional Poincaré inequalities for isotropic densities

We consider new connections between the problem of trend to equilibrium for the n-dimensional Fokker--Planck equation of statistical physics, and weighted Poincaré inequality. To this aim we consider a class of n-dimensional Fokker--Planck equations with variable isotropic coefficient of diffusion and drift, inspired by the analogous one-dimensional Fokker--Planck equation appearing when studying the evolution of wealth distribution.

math.AP↗

arXiv2011

The grazing collision limit of the inelastic Kac model around a Lévy-type equilibrium

This paper is devoted to the grazing collision limit of the inelastic Kac model introduced in [A. Pulvirenti and G. Toscani. J. Statist. Phys., 114(5-6):1453--1480, 2004], when the equilibrium distribution function is a heavy-tailed Lévy-type distribution with infinite variance. We prove that solutions in an appropriate domain of attraction of the equilibrium distribution converge to solutions of a Fokker-Planck equation with a fractional diffusion operator.

math.AP↗

arXiv2008

Strong Convergence towards self-similarity for one-dimensional dissipative Maxwell models

We prove the propagation of regularity, uniformly in time, for the scaled solutions of one-dimensional dissipative Maxwell models. This result together with the weak convergence towards the stationary state proven by Pareschi and Toscani in 2006 implies the strong convergence in Sobolev norms and in the L^1 norm towards it depending on the regularity of the initial data. In the case of the one-dimensional inelastic Boltzmann equation, the result does not depend of the degree of inelasticity. This generalizes a recent result of Carlen, Carrillo and Carvalho (arXiv:0805.1051v1), in which, for weak inelasticity, propagation of regularity for the scaled inelastic Boltzmann equation was found by means of a precise control of the growth of the Fisher information.

math.AP↗

arXiv2008

Perspective for resonances in p-p collisions with the ALICE detector

The capability of the ALICE detector to reconstruct short-lived resonances from the very beginning of the LHC p-p program start-up was investigated, considering about 300,000 minimum bias p-p PYTHIA events at 900 GeV and 10 TeV, fully reconstructed under the hypothesis of a still misaligned detector. Only the information from track reconstruction was taken into account and no PID knowledge was considered. A reliable rho(770) yield estimation was possible in 900 GeV events. Moreover, in 300,000 p-p events at 10 TeV the signal for the phi-resonance could be extracted. A significance of 9 can be reached if only resonances with a transverse momentum larger than 1.5 GeV/c are considered. Moreover, even with this low statistics the phi signal is visible in events with a multiplicity as high as 100.

nucl-ex↗