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Modeling Thermodynamic Distance, Curvature and Fluctuations: A Geometric Approach de Viorel Badescu

Modeling Thermodynamic Distance, Curvature and Fluctuations: A Geometric Approach: Understanding Complex Systems

Autor Viorel Badescu
en Limba Engleză Hardback – 27 mai 2016
This textbook aims to briefly outline the main directions in which the
geometrization of thermodynamics has been developed in the last decades.
The textbook is accessible to people trained in thermal sciences but not
necessarily with solid formation in mathematics. For this, in the first chapters
a summary of the main mathematical concepts is made. In some sense,
this makes the textbook self-consistent. The rest of the textbook consists of
a collection of results previously obtained in this young branch of thermodynamics.
The manner of presentation used throughout the textbook is
adapted for ease of access of readers with education in natural and technical sciences.
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Specificații

ISBN-13: 9783319337883
ISBN-10: 3319337882
Pagini: 202
Ilustrații: X, 202 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.48 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria Understanding Complex Systems

Locul publicării:Cham, Switzerland

Cuprins

Introduction.- Algebraic Structures. Spaces. Reference Frames.- Calculus with Vectors and Differential Forms.- Elements of Riemann Geometry.- Equilibrium Thermodynamics.- Thermodynamics as a Contact Geometry Structure.-  Thermodynamic Distance.- Geometrization of Thermodynamic Fluctuations.- Thermodynamic Curvature. Correlation. Stability.

Recenzii

“Throughout the book, the author gathers the essential mathematical tools he uses for the presentation of the geometrization of thermodynamics. Readers who are not well acquainted with such mathematical tools will thus get in an efficient way the bases for a complete understanding of the applications of these Riemann geometric tools to thermodynamics.” (Alain Brillard, zbMATH 1361.80001, 2017)

Textul de pe ultima copertă

This textbook aims to briefly outline the main directions in which the
geometrization of thermodynamics has been developed in the last decades.
The textbook is accessible to people trained in thermal sciences but not
necessarily with solid formation in mathematics. For this, in the first chapters
a summary of the main mathematical concepts is made. In some sense,
this makes the textbook self-consistent. The rest of the textbook consists of
a collection of results previously obtained in this young branch of thermodynamics.
The manner of presentation used throughout the textbook is
adapted for ease of access of readers with education in natural and technical sciences.

Caracteristici

Outlines the main development directions of the geometrization of thermodynamics in the last decades Self-consistent book including in its first part a summary of the main mathematical concepts and tools The second part of the book refers to the application of geometric methods in equilibrium thermodynamics Includes supplementary material: sn.pub/extras