# Entropy, nonequilibrium, chaos and infinitesimals

@article{Gallavotti2008EntropyNC, title={Entropy, nonequilibrium, chaos and infinitesimals}, author={G. Gallavotti}, journal={arXiv: Statistical Mechanics}, year={2008}, pages={39-60} }

A survey of the approach to Statistical Mechanics following Boltzmann's theory of ensembles and ergodic hypothesis leading to chaoticity as a unifying principle of equilibrium and nonequilibrium Statistical Mechanics.

#### 7 Citations

Heat and fluctuations from order to chaos

- Physics
- 2008

Abstract.The Heat theorem reveals the second law of
equilibrium Thermodynamics (i.e. existence of Entropy) as a
manifestation of a general property of Hamiltonian Mechanics and of
the Ergodic… Expand

Is it possible to experimentally verify the fluctuation relation? A review of theoretical motivations and numerical evidence

- Physics, Mathematics
- 2007

The theoretical motivations to perform experimental tests of the stationary state fluctuation relation are reviewed. The difficulties involved in such tests, evidenced by numerical simulations, are… Expand

The zeroth law of thermodynamics and volume-preserving conservative system in equilibrium with stochastic damping

- Physics, Mathematics
- 2014

Abstract We propose a mathematical formulation of the zeroth law of thermodynamics and develop a stochastic dynamical theory, with a consistent irreversible thermodynamics, for systems possessing… Expand

Theories of Matter: Infinities and Renormalization

- Physics
- 2013

This paper looks at the theory underlying the science of materials from the perspectives of physics, the history of science, and the philosophy of science. We are particularly concerned with the… Expand

Theories of Matter: Infinities and Renormalization

- Physics
- 2010

This paper looks at the theory underlying the science of materials from the perspectives of physics, the history of science, and the philosophy of science. We are particularly concerned with the… Expand

More is the Same; Phase Transitions and Mean Field Theories

- Physics
- 2009

This paper is the first in a series that will look at the theory of phase transitions from the perspectives of physics and the philosophy of science. The series will consider a group of related… Expand

Theories of Matter : In nities and Renormalization

- 2010

This paper looks at the theory underlying the science of materials from the perspectives of physics, the history of science, and the philosophy of science. We are particularly concerned with the… Expand

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1. Classical Statistical Mechanics.- 2. Statistical Ensembles.- 3. Equipartition and Critique.- 4. Thermodynamic Limit and Stability.- 5. Phase Transitions.- 6. Coexistence of Phases.- 7. Exactly… Expand

Aspects of Ergodic, Qualitative and Statistical Theory of Motion

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1 General Qualitative Properties.- 2 Ergodicity and Ergodic Points.- 3 Entropy and Complexity.- 4 Markovian Pavements.- 5 Gibbs Distributions.- 6 General Properties of Gibbs and SRB Distributions.- 7… Expand