Chemical reactions and the principle of maximal rate of entropy production

1983 ◽  
Vol 34 (6) ◽  
pp. 832-844 ◽  
Author(s):  
Hans Ziegler
Keyword(s):  
Entropy Production ◽  
Chemical Reactions ◽  
Maximal Rate

scholarly journals Entropy Production in Simple Chemical Reactions

1975 ◽  
Vol 53 (12) ◽  
pp. 1756-1760 ◽  
Author(s):  
Huw O. Pritchard
Keyword(s):  
Entropy Production ◽  
Constant Temperature ◽  
Chemical Reactions ◽  
Species Number ◽  
Completely Monotonic Function ◽  
Completely Monotonic ◽  
Simple Chemical ◽  
Closed Systems ◽  
Oscillatory Processes ◽  
Monotonicity Principle

It is shown that entropy production appears to be a completely monotonic function of time for several chemical reactions or reaction sequences taking place in closed systems at constant temperature; however this monotonicity principle does not extend to autocatalytic or oscillatory processes. Where it occurs, the complete monotonicity of entropy production stems essentially from the completely monotonic behavior of the species number densities as functions of time in the evolution of the reaction.

scholarly journals Far from Equilibrium Maximal Principle Leading to Matter Self-Organization

2009 ◽  
Vol 5 (3) ◽  
pp. 753-783
Author(s):  
Piero Chiarelli
Keyword(s):  
Free Energy ◽  
Energy Dissipation ◽  
Entropy Production ◽  
Chemical Reactions ◽  
Space Velocity ◽  
Maximum Energy ◽  
Self Organization ◽  
Minimum Entropy ◽  
Minimum Entropy Production ◽  
Far From Equilibrium

In this work an extremal principle driving the far from equilibrium evolution of a system of structureless particles is derived by using the stochastic quantum hydrodynamic analogy. For a classical phase (i.e., the quantum correlations decay on a distance smaller than the mean inter-molecular distance) the far from equilibrium kinetic equation can be cast in the form of a Fokker-Plank equation whose phase space velocity vector maximizes the dissipation of the energy-type function, named here, stochastic free energy.Near equilibrium the maximum stochastic free energy dissipation (SFED) is shown to be compatible with the Prigogine’s principle of minimum entropy production. Moreover, in quasi-isothermal far from equilibrium states, the theory shows that, in the case of elastic molecular collisions and in absence of chemical reactions, the maximum SFED reduces to the maximum free energy dissipation.When chemical reactions or relevant thermal gradients are present, the theory highlights that the Sawada enunciation of maximum free energy dissipation can be violated.The proposed model depicts the Prigogine’s principle of minimum entropy production near-equilibrium and the far from equilibrium Sawada’s principle of maximum energy dissipation as two complementary principia of a unique theory where the latter one is a particular case of the more general one of maximum stochastic free energy dissipation.Following the tendency to reach the highest rate of SFED, a system relaxing to equilibrium goes through states with higher order so that the matter self-organization becomes possible.

Stoichiometric network analysis of entropy production in chemical reactions

2018 ◽  
Vol 20 (36) ◽  
pp. 23726-23739 ◽  
Author(s):  
David Hochberg ◽  
Josep M. Ribó
Keyword(s):  
Network Analysis ◽  
Entropy Production ◽  
Chemical Reactions ◽  
Open System ◽  
Reaction Networks ◽  
Stoichiometric Network Analysis

SNA extreme currents allow for the evaluation and understanding of entropy production of NESS in open system reaction networks.

Suppression Criterion of the Phase Growth Based on Extremal Principles of Nonequilibrium Thermodynamics

2008 ◽  
Vol 277 ◽  
pp. 39-46
Author(s):  
Yu.A. Lyashenko
Keyword(s):  
Entropy Production ◽  
Critical Thickness ◽  
Nonequilibrium Thermodynamics ◽  
Model System ◽  
Maximal Rate ◽  
Phase Growth ◽  
Binary Phase ◽  
Thermodynamic Criterion ◽  
Extremal Principles ◽  
Kinetic Criterion

The suppression criterion of the binary phase growth due to addition of a third component is considered. In this case the analysis of the two possible criteria of the first phase growth are considered: first – kinetic criterion based on the balance of components fluxes and second - thermodynamic criterion which is based on the maximal rate of the entropy production principle. We demonstrate that in the case of a model system the thermodynamic criterion lead to a bigger value of the critical thickness of the phases which are suppressed by the growth of the investigated phase.

Entropy Production in Chemical Reactions

1960 ◽  
Vol 33 (1) ◽  
pp. 79-80 ◽  
Author(s):  
R. P. Rastogi ◽  
R. C. Srivastava
Keyword(s):  
Entropy Production ◽  
Chemical Reactions
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