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Modeling Thermodynamic Distance, Curvature and Fluctuations

A Geometric Approach

  • Viorel┬áBadescu

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-x
  2. Mathematical Tools

    1. Front Matter
      Pages 1-1
    2. Viorel Badescu
      Pages 3-7
    3. Viorel Badescu
      Pages 41-63
    4. Viorel Badescu
      Pages 65-98
  3. Applications of Geometric Methods in Thermodynamics

    1. Front Matter
      Pages 99-99
    2. Viorel Badescu
      Pages 101-118
    3. Viorel Badescu
      Pages 119-133
    4. Viorel Badescu
      Pages 135-150
    5. Viorel Badescu
      Pages 151-172
  4. Back Matter
    Pages 197-202

About this book

Introduction

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.

Keywords

Geometrical Thermodynamics Thermodynamic Metric Thermodynamic Distance Thermodynamic Curvature Thermodynamic Fluctuation Thermodynamic Stability Contact Geometry Horse-carrot Theorems

Authors and affiliations

  • Viorel┬áBadescu
    • 1
  1. 1.Candida Oancea InstitutePolytechnic University BucurestiBucharestRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-33789-0
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-33788-3
  • Online ISBN 978-3-319-33789-0
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • Buy this book on publisher's site