The dynamics of classical particles can be represented as a dynamical systemDynamical system acting on their phase space. There are numerous properties of generic dynamical systems that apply directly to systems of particles. In particular, those that concern probability distributions are of interest in response theory and its modern applications. At the same time, properties such as ergodicity, defined below, must be taken with a grain of salt in Physics.

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Probabilities in Phase Space

  • Carlos Mejía-Monasterio,
  • Lamberto Rondoni

摘要

The dynamics of classical particles can be represented as a dynamical systemDynamical system acting on their phase space. There are numerous properties of generic dynamical systems that apply directly to systems of particles. In particular, those that concern probability distributions are of interest in response theory and its modern applications. At the same time, properties such as ergodicity, defined below, must be taken with a grain of salt in Physics.