The restrictions of the maximum entropy production principle

@article{Martyushev2014TheRO,
  title={The restrictions of the maximum entropy production principle},
  author={Leonid M. Martyushev and Vladimir D. Seleznev},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={2014},
  volume={410},
  pages={17-21}
}

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References

SHOWING 1-10 OF 41 REFERENCES

The maximum entropy production principle: two basic questions

  • L. Martyushev
  • Physics
    Philosophical Transactions of the Royal Society B: Biological Sciences
  • 2010
The overwhelming majority of maximum entropy production applications to ecological and environmental systems are based on thermodynamics and statistical physics. Here, we discuss briefly maximum

Objections to a proposal on the rate of entropy production in systems far from equilibrium

Theoretical and experimental counter examples are given to a postulate by Sawada that nonequilibrium systems evolve in time along a path of maximum rate of entropy production.

A Theoretical Basis for Maximum Entropy Production

Maximum entropy production (MaxEP) is a conjectured selection criterion for the stationary states of non-equilibrium systems. In the absence of a firm theoretical basis, MaxEP has largely been

Some interesting consequences of the maximum entropy production principle

Two nonequilibrium phase transitions (morphological and hydrodynamic) are analyzed by applying the maximum entropy production principle. Quantitative analysis is for the first time compared with

Modern Thermodynamics: From Heat Engines to Dissipative Structures

For readers interested in the Prigogine school of thermodynamics, this book is the first choice because it is a textbook.[...]

Proposed principles of maximum local entropy production.

TLDR
Any predictions based on MEPP-like principles should not be considered scientifically founded, because they are in error with the help of simple examples of well-known chemical and physical systems.

Stability, complexity and the maximum dissipation conjecture

The formalism of irreversible thermodynamics is extended to include the effect of random perturbations and applied to representative systems giving rise to instabilities and to complex nonlinear

Fact-Checking Ziegler's Maximum Entropy Production Principle beyond the Linear Regime and towards Steady States

TLDR
It is shown that Ziegler’s principle of thermodynamic orthogonality leads to stringent reciprocal relations for higher order response coefficients, and in the framework of stochastic thermodynamics, a simple explicit model is exhibited that does not satisfy them.

Some observations of entropy extrema in fluid flow

Inadequacy of entropy and entropy derivatives in characterizing the steady state

In bistable systems the transition kinetics between the two locally stable states can be altered without changing the behavior in the immediate vicinity of the two favored steady states. It follows