Nonstationary Processes: Transients, Limit Cycles, and Chaotic Trajectories

  • Joel Keizer
Chapter

Abstract

In the preceding chapters we have focused attention on the statistical thermodynamics of systems which are near equilibrium or near stable, nonequilibrium steady states. There are, however, many important examples of nonequilibrium systems that are nonstationary and exhibit nonlinear transients, periodic orbits, and bounded, aperiodic motion. The time course of variables in nonstationary systems is usually studied with the aid of differential equations. For macroscopic systems these equations correspond to the conditional average, and the three types of nonstationary behavior just mentioned represent the nonstationary average trajectories in physical ensembles. In Section 5.4 we have already studied an example of this sort, namely, the nonlinear isomerization reaction with the mechanism A+B⇆2B.

Keywords

Chaotic Attractor Continuously Stir Tank Reactor Nonstationary Process Conditional Average Limit Cycle Oscillation 
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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Joel Keizer
    • 1
  1. 1.Department of Chemistry and Institute of Theoretical DynamicsUniversity of CaliforniaDavisUSA

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