Review of extremum postulates

Journal Article (Review;Journal)

Variational principles applied to the time derivative of the second law of thermodynamics have led to significant progress of our understanding of dynamic systems. Prigogine proved that chemical species dynamically form an oscillatory pattern of minimum of entropy production, MinEP. The opposite MaxEP3 postulate forms the foundation of continuum mechanics. The topic of which extremum is valid under what conditions is still subject of a heated debate. We posit here that the two principles emerge from a different spatial/temporal homogenisation technique. MaxEP derives from a macroscopic, continuum view of a non-equilibrium stationary state and MinEP from a microscopic discrete view of stability of a dissipative system. When both limits coincide the system can be represented by an upscaled state with reduced degrees of freedom.

Full Text

Duke Authors

Cited Authors

  • Veveakis, E; Regenauer-Lieb, K

Published Date

  • January 1, 2015

Published In

Volume / Issue

  • 7 /

Start / End Page

  • 40 - 46

Electronic International Standard Serial Number (EISSN)

  • 2211-3398

Digital Object Identifier (DOI)

  • 10.1016/j.coche.2014.10.006

Citation Source

  • Scopus