Modeling thermodynamic distance, curvature and fluctuations : a geometric approach
著者
書誌事項
Modeling thermodynamic distance, curvature and fluctuations : a geometric approach
（Understanding complex systems / founding editor, J.A. Scott Kelso）
Springer, 2016
- : hardcover
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注記
Includes references and index
内容説明・目次
内容説明
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.
目次
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.
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