Modeling Thermodynamic Distance, Curvature and Fluctuations : A Geometric Approach

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...

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Main Author: Badescu, Viorel
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Series:Understanding Complex Systems
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Modeling Thermodynamic Distance, Curvature and Fluctuations  |h Elektronische Ressource  |b A Geometric Approach  |c by Viorel Badescu 
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505 0 |a 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 
653 |a Heat engineering 
653 |a Engineering 
653 |a Thermodynamics 
653 |a Heat transfer 
653 |a Complexity, Computational 
653 |a Mass transfer 
653 |a Engineering Thermodynamics, Heat and Mass Transfer 
653 |a Complexity 
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520 |a 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