Steady State of a Dissipative Flow-Controlled System and the Maximum Entropy Production Principle

Abstract

A theory to predict the steady state position of a dissipative, flow-controlled system, as defined by a control volume, is developed based on the Maximum Entropy (MaxEnt) principle of Jaynes, involving minimisation of a generalised free energy-like potential. The analysis provides a theoretical justification of a local, conditional form of the Maximum Entropy Production (MEP) principle, which successfully predicts the observable properties of many such systems. The analysis reveals a very different manifestation of the second law of thermodynamics in steady state flow systems, which {provides a driving force for} the formation of complex systems, including life.

18 pages; 2 figures; accepted by Physical Review E

References in corpus (6)

• A discussion on maximum entropy production and information theory
• On the validity of entropy production principles for linear electrical circuits
• Classification and discussion of macroscopic entropy production principles
• Combinatorial Information Theory: I. Philosophical Basis of Cross-Entropy and Entropy
• What is the second law of thermodynamics and are there any limits to its validity?
• A useful correspondence between fluid convection and ecosystem operation

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