The restrictions of the maximum entropy production principle

  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},

Training Concept, Evolution Time, and the Maximum Entropy Production Principle

This work studies electric-field-induced self-assembly in suspensions of carbon nanotubes and realizes precise measurements of the entropy production rate (EPR), and introduces two types of EPR, which have qualitatively different significance: global EPR (g-EPR) and the entropy produced per unit time of the dissipative cloud itself (DC-E PR).

The Entropy Production of a Nonequilibrium Open System

A nonequilibrium open system is studied in the projection operator formalism. The environment may linearly deviate from its initial state under the reaction from the open system. If the relevant

A Statistical Inference of the Principle of Maximum Entropy Production

The maximization of entropy S within a closed system is accepted as an inevitability (as 1 the second law of thermodynamics) by statistical inference alone. The Maximum Entropy Production 2 Principle

Temporal evolution, directionality of time and irreversibility

The purpose of the present study is to elucidate certain aspects of the non-equilibrium statistical mechanics, namely the principal role of the correct description of the temporal evolution of a system and the corresponding procedure of averaging.

Nonequilibrium Thermodynamics and Scale Invariance

A variant of continuous nonequilibrium thermodynamic theory based on the postulate of the scale invariance of the local relation between generalized fluxes and forces provides a number of statements for a nonlinear case (maximum entropy production principle, macroscopic reversibility principle, and generalized reciprocity relations) that are under discussion in the literature.

Adiabatic Variations of Quantum Heat of a quantum body

In this article it will be introduced a new theorem, can be considered a generalization of Hellmann-Feynman theorem[1]. The latter used in conjunction with the quantization of the free energy[2] of a

Invariance of specific mass increment in the case of non-equilibrium growth

The invariance of specific mass increments of crystalline structures that co-exist in the case of non-equilibrium growth is grounded for the first time by using the maximum entropy production

Gradient Dynamics and Entropy Production Maximization

Abstract We compare two methods for modeling dissipative processes, namely gradient dynamics and entropy production maximization. Both methods require similar physical inputs–-how energy (or entropy)



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.

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

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