28 citations · 92 across the 8 of their papers we have counts for
7 papers · 1 filter
A Kac model for kinetic annihilation
Bertrand Lods, Alessia Nota, Federica Pezzotti
In this paper we consider the stochastic dynamics of a finite system of particles in a finite volume (Kac-like particle system) which annihilate with probability or co…
Derivation of the Fick's Law for the Lorentz Model in a low density regime
Giada Basile, Alessia Nota, Federica Pezzotti +1
We consider the Lorentz model in a slab with two mass reservoirs at the boundaries. We show that, in a low density regime, there exists a unique stationary solution for the microsc…
A Kac Model for Fermions
M. Colangeli, F. Pezzotti, M. Pulvirenti
We introduce a stochastic -particle system and show that, as , an effective description ruled by the homogeneous fermionic Uehling-Uhlenbeck equation is recovered.…
Propagation of Chaos in a Coagulation Model
Miguel Escobedo, Federica Pezzotti
A deterministic coalescing dynamics with constant rate for a particle system in a finite volume with a fixed initial number of particles is considered. It is shown that, in the the…
Semiclassical Propagation of Coherent States for the Hartree equation
Agissilaos Athanassoulis, Thierry Paul, Federica Pezzotti +1
In this paper we consider the nonlinear Hartree equation in presence of a given external potential, for an initial coherent state. Under suitable smoothness assumptions, we approxi…
Strong Semiclassical Approximation of Wigner Functions for the Hartree Dynamics
A. Athanassoulis, T. Paul, F. Pezzotti +1
We consider the Wigner equation corresponding to a nonlinear Schroedinger evolution of the Hartree type in the semiclassical limit . Under appropriate assumptions on th…
Mean-field limit and Semiclassical Expansion of a Quantum Particle System
Federica Pezzotti, Mario Pulvirenti
We consider a quantum system constituted by identical particles interacting by means of a mean-field Hamiltonian. It is well known that, in the limit , the one-part…