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.

Complete monotonicity of entropy production in chemical reaction

1981 ◽  
Vol 46 (2) ◽  
pp. 452-456
Author(s):  
Milan Šolc
Keyword(s):  
Entropy Production ◽  
Equilibrium Constant ◽  
Chemical Reaction ◽  
Relative Entropy ◽  
Order Reaction ◽  
Complete Monotonicity ◽  
First Order Reaction ◽  
First Order ◽  
Completely Monotonic ◽  
Derivatives Of

The successive time derivatives of relative entropy and entropy production for a system with a reversible first-order reaction alternate in sign. It is proved that the relative entropy for reactions with an equilibrium constant smaller than or equal to one is completely monotonic in the whole definition interval, and for reactions with an equilibrium constant larger than one this function is completely monotonic at the beginning of the reaction and near to equilibrium.

Reactions

2011 ◽  
Author(s):  
Peter Atkins
Keyword(s):  
Chemical Reactions ◽  
Molecular Level ◽  
Chemical Processes ◽  
Chemical Formula ◽  
Complex Processes ◽  
Full Color ◽  
Chemistry Textbooks ◽  
Simple Chemical ◽  
The Subject ◽  
Solid Form

Illustrated with remarkable new full-color images--indeed, one or more on every page--and written by one of the world's leading authorities on the subject, Reactions offers a compact, pain-free tour of the inner workings of chemistry. Reactions begins with the chemical formula almost everyone knows--the formula for water, H2O--a molecule with an "almost laughably simple chemical composition." But Atkins shows that water is also rather miraculous--it is the only substance whose solid form is less dense than its liquid (hence ice floats in water)--and incredibly central to many chemical reactions, as it is an excellent solvent, being able to dissolve gases and many solids. Moreover, Atkins tells us that water is actually chemically aggressive, and can react with and destroy the compounds dissolved in it, and he shows us what happens at the molecular level when water turns to ice--and when it melts. Moving beyond water, Atkins slowly builds up a toolkit of basic chemical processes, including precipitation (perhaps the simplest of all chemical reactions), combustion, reduction, corrosion, electrolysis, and catalysis. He then shows how these fundamental tools can be brought together in more complex processes such as photosynthesis, radical polymerization, vision, enzyme control, and synthesis. Peter Atkins is the world-renowned author of numerous best-selling chemistry textbooks for students. In this crystal-clear, attractively illustrated, and insightful volume, he provides a fantastic introductory tour--in just a few hundred colorful and lively pages - for anyone with a passing or serious interest in chemistry.

scholarly journals Physical principles of membrane organization

1980 ◽  
Vol 13 (2) ◽  
pp. 121-200 ◽  
Author(s):  
J. N. Israelachvili ◽  
S. Marčelja ◽  
R. G. Horn
Keyword(s):  
Chemical Reactions ◽  
Nerve Conduction ◽  
Energy Transduction ◽  
Molecular Organization ◽  
Cellular Structures ◽  
Cellular Activity ◽  
Simple Chemical ◽  
Unicellular Organisms ◽  
Almost All ◽  
Physical Principles

Membranes are the most common cellular structures in both plants and animals. They are now recognized as being involved in almost all aspects of cellular activity ranging from motility and food entrapment in simple unicellular organisms, to energy transduction, immunorecognition, nerve conduction and biosynthesis in plants and higher organisms. This functional diversity is reflected in the wide variety of lipids and particularly of proteins that compose different membranes. An understanding of the physical principles that govern the molecular organization of membranes is essential for an understanding of their physiological roles since structure and function are much more interdependent in membranes than in, say, simple chemical reactions in solution. We must recognize, however, that the word ‘understanding’ means different things in different disciplines, and nowhere is this more apparent than in this multidisciplinary area where biology, chemistry and physics meet.

scholarly journals The influence of velocity field on simple chemical reactions in viscous flow

2019 ◽  
Vol 94 (4) ◽  
pp. 045002 ◽  
Author(s):  
A R Karimov ◽  
M A Taleisnik ◽  
T V Savenkova ◽  
L M Aksenova
Keyword(s):  
Velocity Field ◽  
Viscous Flow ◽  
Chemical Reactions ◽  
Simple Chemical

scholarly journals A logarithmically completely monotonic function involving the gamma function and originating from the Catalan numbers and function

2015 ◽  
Vol 3 (4) ◽  
pp. 140 ◽  
Author(s):  
Fang-Fang Liu ◽  
Xiao-Ting Shi ◽  
Feng Qi
Keyword(s):  
Gamma Function ◽  
Necessary Conditions ◽  
Sufficient Conditions ◽  
Catalan Numbers ◽  
Monotonic Function ◽  
Completely Monotonic Function ◽  
Completely Monotonic ◽  
Logarithmically Completely Monotonic Function ◽  
And Function

<p><span>In the paper, the authors find necessary conditions and sufficient conditions for a function involving the gamma function and originating from investigation of properties of the Catalan numbers and function in combinatorics to be logarithmically completely monotonic.</span></p>

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