• Michael C. Mackey
Part of the Springer Study Edition book series (SSE)


In this chapter we introduce some elementary concepts from measure theory as a start in our examination of the dynamical origin of increasing entropy. Section A draws a connection between thermodynamic systems and measure spaces. Section B briefly considers dynamics and phase spaces, while Section C introduces the notion of a density and postulates that the state of a thermodynamic system is characterized by a density. In Section D we introduce the Boltzmann-Gibbs entropy, and prove that it is the unique (up to a multiplicative constant) entropy definition that satisfies the physical requirement (additivity) that entropy be an extensive quantity.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Michael C. Mackey
    • 1
  1. 1.Center for Nonlinear Dynamics in Physiology and MedicineMcGill UniversityMontrealCanada

Personalised recommendations