Thermodynamic Equilibria and Extrema - Analysis of Attainability Regions and Partial Equilibrium

The authors are very glad to see the publication ofThermodynamicEquilibriaand Extrema in English and would like to express their gratitude to everybody who contributed to this end. The book is devoted to the analysis of attainability regions and partial equilibria in physicochemical and other systems. This analysis employs the extreme models ofclassicalequilibriumthermodynamics. Considerationisgiventotheproblemof choosing, from the set of equilibrium states belonging to the attainability regions, that equilibrium corresponding to the extreme values of a property of interest to a researcher. For example, one might desire to maximize the concentration of target products of a chemical reaction. The problem of coordinating thermodynamics and kinetics is very important in the analysis presented. Ataglance,itmayseemthattheobjectsofstudyinthermodynamics(thescience ofequilibria)andkinetics(thescienceofmotiontowardequilibrium)coincideonly in the case of complete and ?nal equilibrium. In reality, joint application of th- modynamics and kinetic models gives a clearer understanding of the regularities of the kinetics involved. Relativity of the notions of rest and motion was already ?rmly established in mechanics when the principles of equilibrium were formulated by Galilei, D Alembert, and Lagrange. Historically, the theories of motion and equilibrium states are related. It is precisely the study of gas kinetics that led Clausius and Boltzmann to the main principles of thermodynamics. The systematic analysis of theseprinciplesintheclassicbookbyGibbs,OntheEquilibriumofHeterogeneous Substances [54], demonstrated the feasibility of substituting the models of rest for themodelsofmotionwhenstudyingvariousphysicochemicalprocesses.

List of contents

Principles of Equilibrium and Extremality in Mechanics and Thermodynamics.- Extreme Thermodynamic Models in Terms of Mathematical Programming.- Thermodynamic Modeling on Graphs.- Methods and Algorithms of Searching for Thermodynamic Equilibria.- Application of Extreme Models.

Product details

• Authors: Filippov, Sergey P. Filippov, Alexander Gorban, Alexander N Gorban, Alexander N. Gorban, Boris Kaganovich, Boris M Kaganovich, Boris M. Kaganovich, Alexandre V. Keiko, Vitaly A. Shamansky, Igor A. Shirkalin
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9781489998262
• ISBN: 978-1-4899-9826-2
• No. of pages: 282
• Dimensions: 168 mm x 15 mm x 237 mm
• Weight: 462 g
• Illustrations: XIII, 282 p.
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy; B, Physics, Complex systems, Theoretical, Mathematical and Computational Physics, Classical and Continuum Physics, Physics and Astronomy, Continuum physics, Mathematical physics, Dynamical systems, Mathematical Methods in Physics, Dynamics & statics, Statistical physics, Statistical Physics and Dynamical Systems, algorithms;dynamics;equilibrium;mechanics;thermodynamics