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## Elements of Phase Transitions and Critical Phenomena

*Hidetoshi Nishimori and Gerardo Ortiz*

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199577224
- eISBN:
- 9780191722943
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199577224.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into ... More

## Advanced Statistical Mechanics

*Barry M McCoy*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199556632
- eISBN:
- 9780191723278
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199556632.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book begins where elementary books and courses leave off and covers the advances made in statistical mechanics in the past fifty years. The book is divided into three parts. The first part is on ... More

## Critical Phenomena

*M. E. LINES and A. M. GLASS*

### in Principles and Applications of Ferroelectrics and Related Materials

- Published in print:
- 2001
- Published Online:
- February 2010
- ISBN:
- 9780198507789
- eISBN:
- 9780191709944
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198507789.003.0011
- Subject:
- Physics, Condensed Matter Physics / Materials

Critical phenomena occur very close to a second-order phase transition. For example, a ferromagnet near its Curie point behaves quite similarly to a liquid near its critical point, and a ... More

## Phase transitions and critical phenomena

*Hidetoshi Nishimori and Gerardo Ortiz*

### in Elements of Phase Transitions and Critical Phenomena

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199577224
- eISBN:
- 9780191722943
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199577224.003.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

As an introduction to the physics of phase transitions and critical phenomena, this chapter explains a number of basic and fundamental ideas such as phases, phase transitions, phase diagrams, ... More

## Mean‐field theories

*Hidetoshi Nishimori and Gerardo Ortiz*

### in Elements of Phase Transitions and Critical Phenomena

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199577224
- eISBN:
- 9780191722943
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199577224.003.0002
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The present chapter explains the mean-field approximation, the Landau theory, the infinite-range model, and the Bethe approximation, and shows that all these (mean-field) theories are essentially ... More

## Asymptotic Explanation

*Robert W. Batterman*

### in The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction, and Emergence

- Published in print:
- 2001
- Published Online:
- November 2003
- ISBN:
- 9780195146479
- eISBN:
- 9780199833078
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195146476.003.0004
- Subject:
- Philosophy, Philosophy of Science

This chapter provides a fairly detailed discussion of the renormalization group account of the universality of critical phenomena. This discussion allows one to determine the distinctive features of ... More

## Critical phenomena and scaling theory

*Barry M. McCoy*

### in Advanced Statistical Mechanics

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199556632
- eISBN:
- 9780191723278
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199556632.003.0005
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter presents the phenomenological description of critical phenomena. It derives inequalities for critical exponents which follow from thermodynamics. It explains the scaling theory of ... More

## Quantum Field Theory and Critical Phenomena

*Jean Zinn-Justin*

- Published in print:
- 2002
- Published Online:
- January 2010
- ISBN:
- 9780198509233
- eISBN:
- 9780191708732
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509233.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The book is an introduction to quantum field theory and renormalization group. It shows that these frameworks are essential for the understanding of phenomena belonging to many different areas of ... More

## Phase Transitions, Critical Phenomena, and Finite-Size Scaling

*Hans-Peter Eckle*

### in Models of Quantum Matter: A First Course on Integrability and the Bethe Ansatz

- Published in print:
- 2019
- Published Online:
- September 2019
- ISBN:
- 9780199678839
- eISBN:
- 9780191878589
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199678839.003.0005
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

Interacting many-particle systems may undergo phase transitions and exhibit critical phenomena in the limit of infinite system size, while the precursors of these phenomena are studied in the theory ... More

## Superconductor-Insulator Transitions: Present Status and Open Questions

*Nandini Trivedi*

### in Conductor-Insulator Quantum Phase Transitions

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199592593
- eISBN:
- 9780191741050
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199592593.003.0010
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

A superconductor is a remarkable emergent state of matter in which electrons pair up and develop long range phase coherence resulting in zero resistance and perfect diamagnetism. How can a ... More

## Theoretical Studies of Superconductor–Insulator Transitions

*Yen Loh Lee and Nandini Trivedi*

### in Conductor-Insulator Quantum Phase Transitions

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199592593
- eISBN:
- 9780191741050
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199592593.003.0017
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter presents a theoretical treatment of two types of superconductor-insulator transitions — the disorder-tuned transition and the parallel-magnetic-field-tuned transition. This is performed ... More

## Mean-Field Theory of Phase Transitions

*Hidetoshi Nishimori*

### in Statistical Physics of Spin Glasses and Information Processing: An Introduction

- Published in print:
- 2001
- Published Online:
- January 2010
- ISBN:
- 9780198509417
- eISBN:
- 9780191709081
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509417.003.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Methods of statistical mechanics have been enormously successful in clarifying the macroscopic properties of many-body systems. Typical examples are found in magnetic systems, which have been a test ... More

## Renormalization Group

*Giuseppe Mussardo*

### in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

- Published in print:
- 2020
- Published Online:
- May 2020
- ISBN:
- 9780198788102
- eISBN:
- 9780191830082
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788102.003.0008
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Chapter 8 introduces the key ideas of the renormalization group, including how they provide a theoretical scheme and a proper language to face critical phenomena. It covers the scaling ... More

## The essential role of functional integrals in modern physics

*Jean Zinn-Justin*

### in From Random Walks to Random Matrices

- Published in print:
- 2019
- Published Online:
- August 2019
- ISBN:
- 9780198787754
- eISBN:
- 9780191829840
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198787754.003.0003
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Chapter 3 illustrates by a number of examples the essential role of functional integrals in physics. For example, the path integral representation of quantum mechanics explains why many basic ... More

## Magnetic Surfaces, Interfaces, and Thin Films

*Kannan M. Krishnan*

### in Fundamentals and Applications of Magnetic Materials

- Published in print:
- 2016
- Published Online:
- December 2016
- ISBN:
- 9780199570447
- eISBN:
- 9780191813504
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199570447.003.0010
- Subject:
- Physics, Condensed Matter Physics / Materials

Magnetic moment, order, and coupling depend on interatomic distance, coordination, and atomic volume. As such, they are different for surfaces and ultrathin films and, compared to the bulk, in ... More

## Magnetic Materials: From Isolated Moments to Ordered Arrangements

*Kannan M. Krishnan*

### in Fundamentals and Applications of Magnetic Materials

- Published in print:
- 2016
- Published Online:
- December 2016
- ISBN:
- 9780199570447
- eISBN:
- 9780191813504
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199570447.003.0003
- Subject:
- Physics, Condensed Matter Physics / Materials

The magnetic behavior of materials can be quite diverse with a wide range of susceptibilities. All materials exhibit diamagnetism with a very small, negative susceptibility and it is predominant in ... More

## Renormalisation II: Improving perturbation theory

*Michael Kachelriess*

### in Quantum Fields: From the Hubble to the Planck Scale

- Published in print:
- 2017
- Published Online:
- February 2018
- ISBN:
- 9780198802877
- eISBN:
- 9780191841330
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198802877.003.0012
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter introduces the quantum action as the generating functional of 1PI Green functions. The Ward identities of QED are derived and the vacuum polarisation is calculated. The renormalisation ... More

## Combinatorial Solutions of the Ising Model

*Giuseppe Mussardo*

### in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

- Published in print:
- 2020
- Published Online:
- May 2020
- ISBN:
- 9780198788102
- eISBN:
- 9780191830082
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788102.003.0005
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Two exact combinatorial solutions of the two-dimensional Ising model are the key topics of this chapter. Although no subsequent topic depends on them, both the mathematical and the physical aspects ... More

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