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Modeling Thermodynamic Distance, Curvature and Fluctuations

A Geometric Approach

  • Book
  • © 2016

Overview

Authors:
  1. Viorel Badescu

    1. Candida Oancea Institute, Polytechnic University Bucuresti, Bucharest, Romania

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  • Outlines the main development directions of the geometrization of thermodynamics in the last decades
  • Self-consistent book including in its first part a summary of the main mathematical concepts and tools
  • The second part of the book refers to the application of geometric methods in equilibrium thermodynamics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-x
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  2. Mathematical Tools

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Viorel Badescu
      Pages 3-7

    3. Algebraic Structures. Spaces. Reference Frames

      • Viorel Badescu
      Pages 9-40

    4. Vector Calculus and Differential Forms

      • Viorel Badescu
      Pages 41-63

    5. Elements of Riemann Geometry

      • Viorel Badescu
      Pages 65-98

  3. Applications of Geometric Methods in Thermodynamics

    1. Front Matter

      Pages 99-99
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    2. Equilibrium Thermodynamics

      • Viorel Badescu
      Pages 101-118

    3. Thermodynamics as a Contact Geometry Structure

      • Viorel Badescu
      Pages 119-133

    4. Thermodynamic Distance

      • Viorel Badescu
      Pages 135-150

    5. Geometrization of Thermodynamic Fluctuations

      • Viorel Badescu
      Pages 151-172

    6. Thermodynamic Curvature. Correlation. Stability

      • Viorel Badescu
      Pages 173-195

  4. Back Matter

    Pages 197-202
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Keywords

About this book

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.

Reviews

“Throughout the book, the author gathers the essential mathematical tools he uses for the presentation of the geometrization of thermodynamics. Readers who are not well acquainted with such mathematical tools will thus get in an efficient way the bases for a complete understanding of the applications of these Riemann geometric tools to thermodynamics.” (Alain Brillard, zbMATH 1361.80001, 2017)

Authors and Affiliations

  • Candida Oancea Institute, Polytechnic University Bucuresti, Bucharest, Romania

    Viorel Badescu

Bibliographic Information

  • Book Title: Modeling Thermodynamic Distance, Curvature and Fluctuations

  • Book Subtitle: A Geometric Approach

  • Authors: Viorel Badescu

  • Series Title: Understanding Complex Systems

  • DOI: https://doi.org/10.1007/978-3-319-33789-0

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-33788-3Published: 27 May 2016

  • Softcover ISBN: 978-3-319-81603-6Published: 30 May 2018

  • eBook ISBN: 978-3-319-33789-0Published: 19 May 2016

  • Series ISSN: 1860-0832

  • Series E-ISSN: 1860-0840

  • Edition Number: 1

  • Number of Pages: X, 202

  • Topics: Complexity, Engineering Thermodynamics, Heat and Mass Transfer, Thermodynamics

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