Equilibrium Statistical Mechanics

An introductory review of Classical Statistical MechanicsComment: 56 page

Chaotic dynamics, fluctuations, nonequilibrium ensembles

A review of some recent results and ideas about the expected behaviour of large chaotic systems and fluids.Comment: 10 pages: LaTeX-REVTe

The Luttinger model: its role in the RG-theory of one dimensional many body Fermi systems

The Luttinger model was introduced to illustrate the theory of Tomonaga via an exactly soluble model. It became soon the subject of great interest also on the part of Mathematical Physics and a key to the investigations of the mathematical properties of Condensed Matter Physics. This paper reviews aspects of the above developments relevant for renormalization group methods.Comment: Plain Te

Chaotic Hypothesis and Universal Large Deviations Properties

Chaotic systems arise naturally in Statistical Mechanics and in Fluid Dynamics. A paradigm for their modelization are smooth hyperbolic systems. Are there consequences that can be drawn simply by assuming that a system is hyperbolic? here we present a few model independent general consequences which may have some relevance for the Physics of chaotic systems. Expanded version of a talk at ICM98, Berlin.Comment: 29 pages: Plain-TeX, 1 figur

Microscopic chaos and macroscopic entropy in fluids

In nonequilibrium thermodynamics macroscopic entropy creation plays an important role. Here we study, from various viewpoints, its relation with the phase space contraction, which has been recently proposed as an apparently alternative quantity. quantity.Comment: 10 pages, 1 figure, latex revte