Generalised Thermostatistics

  • Jan Naudts

Table of contents

  1. Front Matter
    Pages I-X
  2. Parameter Estimation

    1. Front Matter
      Pages 1-2
    2. Jan Naudts
      Pages 21-36
    3. Jan Naudts
      Pages 37-51
    4. Jan Naudts
      Pages 53-68
    5. Jan Naudts
      Pages 69-78
    6. Jan Naudts
      Pages 79-92
  3. Deformed Exponential Families

    1. Front Matter
      Pages 93-94
    2. Jan Naudts
      Pages 95-114
    3. Jan Naudts
      Pages 115-130
    4. Jan Naudts
      Pages 131-148
    5. Jan Naudts
      Pages 149-163
    6. Jan Naudts
      Pages 165-178
  4. Jan Naudts
    Pages 179-198
  5. Back Matter
    Pages 199-201

About this book

Introduction

The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area.

The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting the perspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family of probability distributions.

Presented in a clear, consistent, and deductive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts.

Written by a leading contributor in the field, this book will provide a useful tool for learning about recent developments in generalized versions of statistical mechanics and thermodynamics, especially with respect to self-study. Written for researchers in theoretical physics, mathematics and statistical mechanics, as well as graduates of physics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantial mathematical background are required.

Keywords

Exponential family of statistical models Microcanonical ensemble Nonextensive thermostatistics Tsallis entropy q-deformed exponential functions q-deformed logarithmic functions

Authors and affiliations

  • Jan Naudts
    • 1
  1. 1.Physics DepartmentUniversity of AntwerpAntwerpBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-85729-355-8
  • Copyright Information Springer-Verlag London Limited 2011
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-85729-354-1
  • Online ISBN 978-0-85729-355-8
  • About this book