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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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2016, 2016
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| Edition: | 1st ed. 2016 |
| Series: | Understanding Complex Systems
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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