In this first chapter we will give an outline of some fundamental elements of statistical mechanics, of Hamiltonian dynamics, and of the relationship between them.

The general problem of statistical physics is the following. Given a collection–in general a large collection–of atoms or molecules, given the interaction laws among the constituents of this collection of particles, and given the dynamical evolution laws, how can we predict the macroscopic physical properties of the matter composed of these atoms or molecules?


Phase Space Lyapunov Exponent Helmholtz Free Energy Large Lyapunov Exponent Hamiltonian Dynamic 
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© Springer Science+Business Media 2007

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