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Publications Influence

Thermodynamics and time averages

- A. Carati
- Mathematics, Physics
- 29 July 2004

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 statistical… Expand

14 2- PDF

Exponentially Long Stability Times for a Nonlinear Lattice in the Thermodynamic Limit

- A. Carati, A. Maiocchi
- Mathematics, Physics
- 26 November 2010

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 stretched… Expand

28 2- PDF

A rigorous implementation of the Jeans - Landau - Teller approximation for adiabatic invariants

- G. Benettin, A. Carati, G. Gallavotti
- Mathematics, Physics
- 6 September 1995

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 agreement… Expand

30 2- PDF

Thermodynamic study of a distiller-electrochemical cell system for energy production from low temperature heat sources

- A. Carati, M. Marino, D. Brogioli
- Chemistry
- 15 December 2015

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 of… Expand

34 1

The nonlinear Schrödinger equation as a resonant normal form

- D. Bambusi, A. Carati, A. Ponno
- Mathematics
- 1 November 2001

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 of… Expand

21 1

On the Definition of Temperature in FPU Systems

- A. Carati, P. Cipriani, L. Galgani
- Physics
- 19 November 2003

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 that… Expand

8 1- PDF

On the Landau-Teller approximation for energy exchanges with fast degrees of freedom

- G. Benettin, A. Carati, P. Sempio
- Physics
- 1 October 1993

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 Hamiltonian… Expand

17 1- PDF

Relaxation properties in classical diamagnetism.

- A. Carati, F. Benfenati, L. Galgani
- Physics, Medicine
- Chaos
- 24 September 2010

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 can… Expand

4 1- PDF

An Averaging Theorem for Hamiltonian Dynamical Systems in the Thermodynamic Limit

- A. Carati
- Mathematics
- 31 July 2007

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 the… Expand

29 1- PDF

On the definition of temperature using time-averages

- A. Carati
- Mathematics, Physics
- 25 January 2005

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 in… Expand

7 1- PDF