Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms

An Insight into Negative Temperature

  • Book
  • © 2020

Overview

Authors:
  1. Marco Baldovin

    1. Department of Physics, Sapienza University of Rome, Rome, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Nominated as an outstanding Ph.D. thesis by the Università “Sapienza”, Roma, Italy
  • An exhaustive introductive chapter makes the topics accessible also to non-experts
  • Makes a valuable contribution to illuminating a controversial field

Part of the book series: Springer Theses (Springer Theses)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Introduction

    • Marco Baldovin
    Pages 1-3

  3. Background and Motivation

    • Marco Baldovin
    Pages 5-24

  4. Systems with Bounded Phase Spaces: Equilibrium Properties

    • Marco Baldovin
    Pages 25-55

  5. Langevin Equation (Also) at Negative Temperature

    • Marco Baldovin
    Pages 57-82

  6. Negative Temperature Out of Equilibrium

    • Marco Baldovin
    Pages 83-97

  7. Computational and Technical Aspects

    • Marco Baldovin
    Pages 99-130

  8. Conclusions

    • Marco Baldovin
    Pages 131-133
Back to top

Keywords

About this book

Recent experimental evidence about the possibility of "absolute negative temperature" states in physical systems has triggered a stimulating debate about the consistency of such a concept from the point of view of Statistical Mechanics. It is not clear whether the usual results of this field can be safely extended to negative-temperature states; some authors even propose fundamental modifications to the Statistical Mechanics formalism, starting with the very definition of entropy, in order to avoid the occurrence of negative values of the temperature tout-court.
The research presented in this thesis aims to shed some light on this controversial topic. To this end, a particular class of Hamiltonian systems with bounded kinetic terms, which can assume negative temperature, is extensively studied, both analytically and numerically. Equilibrium and out-of-equilibrium properties of this kind of system are investigated, reinforcing the overall picture that the introduction of negative temperature does not lead to any contradiction or paradox.  



Authors and Affiliations

  • Department of Physics, Sapienza University of Rome, Rome, Italy

    Marco Baldovin

About the author

Marco Baldovin is a postdoctoral researcher at the University of Rome “Sapienza”, Department of Physics. His research activity ranges from statistical mechanics to complex systems and stochastic processes. During his Ph.D. he worked on the statistical mechanics aspects of “negative absolute temperatures”, showing that these fascinating physical states can be understood with the usual tools of statistical mechanics. This systematic analysis has been the subject of several papers and talks in international conferences.

Bibliographic Information

  • Book Title: Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms

  • Book Subtitle: An Insight into Negative Temperature

  • Authors: Marco Baldovin

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-030-51170-8

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-51169-2Published: 21 August 2020

  • Softcover ISBN: 978-3-030-51172-2Published: 21 August 2021

  • eBook ISBN: 978-3-030-51170-8Published: 20 August 2020

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XIII, 133

  • Number of Illustrations: 2 b/w illustrations, 38 illustrations in colour

  • Topics: Theoretical, Mathematical and Computational Physics, Mathematical Physics, Mathematical Methods in Physics

Publish with us

Policies and ethics

Back to top

Search

Navigation