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written by Harvey Gould and Jan Tobochnik
We first discuss a phenomenological mean-field theory of phase transitions due to Landau and introduce the ideas of universality and scaling near critical points. The breakdown of mean-field theory near a critical point leads us to introduce the renormalization group, which has had a major impact on our understanding of phase transitions, quantum field theory, and turbulence. We introduce the renormalization group in the context of percolation, a simple geometrical model that exhibits a continuous transition, and then apply renormalization group methods to the Ising model.
Book Title: Thermal and Statistical Physics
Subjects Levels Resource Types
Thermo & Stat Mech
- Models
= Ising Model
- Phase Transitions
= Critical Point
= Mean-Field Theory
= Renormalization Group
- Upper Undergraduate
- Graduate/Professional
- Instructional Material
= Textbook
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Free access
Restriction:
© 2009 Harvey Gould and Jan Tobochnik
All chapters are copyrighted by Harvey Gould and Jan Tobochnik. They are not to be copied or distributed without contacting one of the authors.
PACSs:
05.70.Jk
64.60.-i
Keywords:
Landau theory, osp, percolation, scaling, universality
Record Cloner:
Metadata instance created January 15, 2009 by Anne Cox
Record Updated:
April 12, 2010 by Harvey Gould
Last Update
when Cataloged:
January 12, 2009
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Record Link
AIP Format
H. Gould and J. Tobochnik, in Thermal and Statistical Physics (2009), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8470&DocID=931).
AJP/PRST-PER
H. Gould and J. Tobochnik, STP Textbook Chapter 9: Critical Phenomena, in Thermal and Statistical Physics (2009), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8470&DocID=931>.
APA Format
Gould, H., & Tobochnik, J. (2009). STP Textbook Chapter 9: Critical Phenomena. In Thermal and Statistical Physics. Retrieved November 27, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8470&DocID=931
Chicago Format
Gould, Harvey, and Jan Tobochnik. "STP Textbook Chapter 9: Critical Phenomena." In Thermal and Statistical Physics. 2009. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8470&DocID=931 (accessed 27 November 2014).
MLA Format
Gould, Harvey, and Jan Tobochnik. "STP Textbook Chapter 9: Critical Phenomena." Thermal and Statistical Physics. 2009. 12 Jan. 2009. 27 Nov. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8470&DocID=931>.
BibTeX Export Format
@incollection{ Author = "Harvey Gould and Jan Tobochnik", Title = {STP Textbook Chapter 9: Critical Phenomena}, BookTitle = {Thermal and Statistical Physics}, Month = {January}, Year = {2009} }
Refer Export Format

%A Harvey Gould
%A Jan Tobochnik
%T STP Textbook Chapter 9: Critical Phenomena
%B Thermal and Statistical Physics
%D January 12, 2009
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8470&DocID=931
%O application/pdf

EndNote Export Format

%0 Book Section
%A Gould, Harvey
%A Tobochnik, Jan
%D January 12, 2009
%T STP Textbook Chapter 9: Critical Phenomena
%B Thermal and Statistical Physics
%8 January 12, 2009
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8470&DocID=931


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STP Textbook Chapter 9: Critical Phenomena:

Is Part Of STP Textbook: Table of Contents

The STP Textbook is an introduction to statistical and thermal physics for upper-level undergraduate students.

relation by Anne Cox
Is Referenced By STP XY Model Program

STP XY Model Program illustrates concepts from Chapter 9 of Statistical and Thermal Physics by Gould and Tobochnik.

relation by Anne Cox
Is Referenced By STP Percolation Program

STP Percolation Program illustrates concepts from Chapter 9 of Statistical and Thermal Physics by Gould and Tobochnik.

relation by Anne Cox

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