• Publications
  • Influence
Thermodynamics and time averages
For a dynamical system far from equilibrium, one has to deal with empirical probabilities defined through time averages, and the main problem then is how to formulate an appropriate statisticalExpand
  • 14
  • 2
  • PDF
Exponentially Long Stability Times for a Nonlinear Lattice in the Thermodynamic Limit
In this paper, we construct an adiabatic invariant for a large 1–d lattice of particles, which is the so called Klein Gordon lattice. The time evolution of such a quantity is bounded by a stretchedExpand
  • 28
  • 2
  • PDF
A rigorous implementation of the Jeans - Landau - Teller approximation for adiabatic invariants
Rigorous bounds on the rate of energy exchanges between vibrational and translational degrees of freedom are established in simple classical models of diatomic molecules. The results are in agreementExpand
  • 30
  • 2
  • PDF
Thermodynamic study of a distiller-electrochemical cell system for energy production from low temperature heat sources
The “thermally regenerable batteries” have been proposed for exploiting the heat sources at very low temperature, below 150° (e.g. low-concentration solar and industrial waste heat) for production ofExpand
  • 34
  • 1
The nonlinear Schrödinger equation as a resonant normal form
Averaging theory is used to study the dynamics of dispersive equations taking the nonlinear Klein Gordon equation on the line as a model problem: For approximatively monochromatic initial data ofExpand
  • 21
  • 1
On the Definition of Temperature in FPU Systems
It is usually assumed, in classical statistical mechanics, that the temperature should coincide, apart from a suitable constant factor, with the mean kinetic energy of the particles. We show thatExpand
  • 8
  • 1
  • PDF
On the Landau-Teller approximation for energy exchanges with fast degrees of freedom
We revisit the Landau-Teller heuristic approach to adiabatic invariants and, following Rapp, use it to investigate the energy exchanges between the different degrees of freedom, in simple HamiltonianExpand
  • 17
  • 1
  • PDF
Relaxation properties in classical diamagnetism.
It is an old result of Bohr that, according to classical statistical mechanics, at equilibrium a system of electrons in a static magnetic field presents no magnetization. Thus a magnetization canExpand
  • 4
  • 1
  • PDF
An Averaging Theorem for Hamiltonian Dynamical Systems in the Thermodynamic Limit
It is shown how to perform some steps of perturbation theory if one assumes a measure-theoretic point of view, i.e. if one renounces to control the evolution of the single trajectories, and theExpand
  • 29
  • 1
  • PDF
On the definition of temperature using time-averages
This paper is a natural continuation of a previous one by the author, which was concerned with the foundations of statistical thermodynamics far from equilibrium. One of the problems left open inExpand
  • 7
  • 1
  • PDF