Badescu Modeling Thermodynamic Distance, Curvature and Fluctuations

A Geometric Approach
1. Auflage 2016
ISBN: 978-3-319-33789-0
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 202 Seiten, eBook

Reihe: Understanding Complex Systems

This textbook aims to briefly outline the main directions in which thegeometrization of thermodynamics has been developed in the last decades.The textbook is accessible to people trained in thermal sciences but notnecessarily with solid formation in mathematics. For this, in the first chaptersa summary of the main mathematical concepts is made. In some sense,this makes the textbook self-consistent. The rest of the textbook consists ofa 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.

Zielgruppe

Research

Autoren/Hrsg.

Badescu, Viorel

Inhaltsverzeichnis

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.