Sur Les Propriétés Différentielles De La Production d'Entropie

Glansdorff, Paul; Prigogine, I.

doi:10.1016/s0031-8914(54)80190-x

Cited by 167 publications

(67 citation statements)

References 3 publications

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“…This theorem is the Glansdorff-Prigogine general evolution criterion which is also a universal necessary condition to the existence of steady state [27], [28]. Consequently, the range of this theorem is independent of the assumption that the constitutive relations are linear, also it is valid in case of the generalized Onsager constitutive theory.…”

Section: Evolution Toward Steady-state Glansdorff-prigogine General mentioning

confidence: 92%

“…Furthermore, we showed that in case when the principle of minimal entropy production is used for the determination of the possible forms of constitutive equations, the results are similar to the linear theory in the frame of the Onsager's constitutive theory, where the dissipation potentials are homogeneous Euler's functions. Glansdorff and Prigogine had chosen different approach for the minimum entropy production in the frame of linear constitutive theory [ 27 ], [ 28 ]. In the following we shall fit this theory into the generalized Onsager constitutive theory.…”

Section: Evolution Toward Steady-state Glansdorff-prigogine General mentioning

confidence: 99%

“…The reason of the limited sphere of operation that the general evolution criteria in (192) is valid for chemical reactions [ 29 ], [1], [2] which are crucial for the biological applications. The present generalization however is important, because any dissipation potential and the entropy production could be used as kinetic potential, which are important in the studies of the stability of chemical reactions [28], [29].…”

Section:    mentioning

confidence: 99%

See 2 more Smart Citations

On the Extremum Properties of Thermodynamic Steady State in Non-Linear Systems

Vincze¹,

Szász²

2011

Thermodynamics - Physical Chemistry of Aqueous Systems

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Section: Evolution Toward Steady-state Glansdorff-prigogine General mentioning

confidence: 92%

Section: Evolution Toward Steady-state Glansdorff-prigogine General mentioning

confidence: 99%

Section:    mentioning

confidence: 99%

See 1 more Smart Citation

On the Extremum Properties of Thermodynamic Steady State in Non-Linear Systems

Vincze¹,

Szász²

2011

Thermodynamics - Physical Chemistry of Aqueous Systems

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“…The dissipation inequality which is used in Clausius-Duhem theories as a constraint for the constitutive mappings represents here a stability or an evolution criterion. Beyond the positive definitenes (53) of the entropy production density, its Ljapunov property (101)σ ≤ 0 is postulated [70]. If the phenomenological equations (57) are linear, the Châtelier-Braun principle…”

Section: Evolution Criteriamentioning

confidence: 99%

Why so many “schools” of thermodynamics?

Muschik

2007

Forsch Ingenieurwes

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ABSTRACT. A classification representing some main branches of phenomenological nonequilibrium thermodynamics is discussed. Differences and similarities of these selected branches are explained. Starting out with basic concepts of phenomenological thermodynamics, more developed theories with different back-grounds contributing to contemporary thermodynamics are considered. Because of its vast extent, this field cannot be presented completely in a single reasonably sized paper without any omissions.

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“…This branch is stable near equilibrium where the entropy production plays the role of the thermodynamic potential, especially when the Onsager reciprocal relations hold [1,2,16]. Therefore, the behavior of any system can be predicted when the system is near the equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Calculation of the Entropy Balance Equation in a Non-equilibrium Reaction-diffusion System

Mahara

Yamaguchi

2010

Entropy

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Abstract:In this article, we discuss the relationships between thermodynamic quantities and the spatial pattern in a reaction-diffusion model based on the reversible Gray-Scott model. This model is introduced for calculation of the entropy production in a reaction-diffusion system. First, we show the relationship between entropy production and pattern formation, and suggest that the entropy production could be an index of different patterns. Then the entropy production is applied for searching the parameter region where the pattern is bistable. Moreover, the entropy change is calculated by using the relative chemical potential that is defined based on the equilibrium state and not on the standard chemical potential. The results of the entropy change are consistent with the intrinsic property of the entropy, therefore, the entropy change calculated in this way may be regarded as an appropriate quantity for the discussion of the thermodynamic properties in a non equilibrium system.

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Sur Les Propriétés Différentielles De La Production d'Entropie

Cited by 167 publications

References 3 publications

On the Extremum Properties of Thermodynamic Steady State in Non-Linear Systems

On the Extremum Properties of Thermodynamic Steady State in Non-Linear Systems

Why so many “schools” of thermodynamics?

Calculation of the Entropy Balance Equation in a Non-equilibrium Reaction-diffusion System

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