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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
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
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
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
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
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
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
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
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
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