Jump to ContentJump to Main Navigation
ThermodynamicsA complete undergraduate course$
Users without a subscription are not able to see the full content.

Andrew M. Steane

Print publication date: 2016

Print ISBN-13: 9780198788560

Published to Oxford Scholarship Online: January 2017

DOI: 10.1093/acprof:oso/9780198788560.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 18 October 2019

Continuous phase transitions

Continuous phase transitions

Chapter:
(p.355) 25 Continuous phase transitions
Source:
Thermodynamics
Author(s):

Andrew M. Steane

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198788560.003.0025

The general phenomenon of continuous phase transitions is discussed, and treated by the Landau mean field approach. First some illustrative examples are discussed, and the concepts of order parameter and critical exponents are introduced. The critical exponents for the liquid–vapour critical point of a van der Waals gas are obtained. Then the Landau mean field theory is described for a generic system, showing how the competition between entropy and internal energy affects the free energy. Critical exponents are obtained, and the static scaling hypothesis briefly mentioned. The results are then applied to ferromagnetism and to binary mixtures. Eutectic behaviour is introduced.

Keywords:   Order parameter, Landau mean field, critical exponent, static scaling hypothesis, ferromagnet, binary mixture, eutectic

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .