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Theory of Fluctuations in Superconductors

Anatoly Larkin (late) and Andrei Varlamov

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528159
eISBN:
9780191713521
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528159.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book presents itself as both an encyclopedia and a textbook of fluctuation phenomena in superconductors. The first half presents the phenomenological methods of the Ginzburg-Landau theory and ... More


Classical superconductivity

A.J. Leggett

in Quantum Liquids: Bose condensation and Cooper pairing in condensed-matter systems

Published in print:
2006
Published Online:
January 2008
ISBN:
9780198526438
eISBN:
9780191711954
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526438.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

After a brief review of the normal state of a “textbook” metal, the origin of the effective electron-electron attraction believed to exist in superconducting metals is discussed and the calculation ... 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 Renormalization Group

Jean Zinn-Justin

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199227198
eISBN:
9780191711107
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227198.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book provides an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees of freedom. The existence of a continuum limit ... 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


Nonlocal electromagnetism and superconductivity

Mauro Fabrizio and Morro Angelo

in Electromagnetism of Continuous Media: Mathematical Modelling and Applications

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198527008
eISBN:
9780191713316
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527008.003.0011
Subject:
Mathematics, Applied Mathematics

This chapter provides a scheme of nonlocal electromagnetism and develops a scheme of superconductivity. In essence, nonlocality is meant as a description of constitutive properties through ... More


EQUILIBRIUM PHASE TRANSITIONS

Nasr M. Ghoniem and Daniel D. Walgraef

in Instabilities and Self-Organization in Materials: Volume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter aims to develop the fundamental equations of thermodynamics which govern equilibrium between reacting species or phases. It begins with a review of the basic thermodynamic state ... More


Fermi liquid in equilibrium

E. R. DOBBS

in Helium Three

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198506409
eISBN:
9780191709463
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506409.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter describes a semi-phenomenological theory due to Landau that accounts for a wide range of experimental results. The theory also predicts a new form of acoustic propagation, termed zero ... More


Interacting boson systems

Xiao-Gang Wen

in Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons

Published in print:
2007
Published Online:
February 2010
ISBN:
9780199227259
eISBN:
9780191713019
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227259.003.03
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces a quantum field theory for interacting boson systems. It develops a mean-field theory to study the superfluid phase. A path integral formulation is then developed to re-derive ... More


Further theories

E. R. DOBBS

in Helium Three

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198506409
eISBN:
9780191709463
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506409.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter reviews theoretical developments since the 1960s. These theories are of two basic types: microscopic theories, in which the ground-state properties are calculated from the mass of the ... More


ORIGIN AND STABILITY

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.003.0005
Subject:
Physics, Crystallography: Physics

This chapter begins with a discussion of the mechanisms for creating aperiodicity. It then discusses the Landau theory of phase transitions, semi-microscopic models, composites, electronic ... More


BCS superfluids

E. R. DOBBS

in Helium Three

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198506409
eISBN:
9780191709463
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506409.003.0021
Subject:
Physics, Condensed Matter Physics / Materials

This chapter introduces the theory of superfluid 3He. It begins with a summary of the BCS theory of superconductivity, which is the basis for the development of the most complex theory of superfluid ... More


Surface waves and patterns in periodically vibrated granular layers

Igor S. Aranson and Lev S. Tsimring

in Granular Patterns

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199534418
eISBN:
9780191714665
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534418.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines pattern-forming phenomena in thin layers of granular materials subjected to low-frequency periodic vertical vibration above the acceleration of gravity. Compared to driven ... More


Advent of type II superconductors

A.V. Narlikar

in Superconductors

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199584116
eISBN:
9780191747496
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199584116.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter describes how the phenomenological understanding of superconductors was vastly enhanced by the Ginzburg–Landau theory. Its success rested on the fact that it could quantitatively yield ... 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


Superfluidity and Superconductivity

Norman J. Morgenstern Horing

in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198791942
eISBN:
9780191834165
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791942.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The ... More


Phase transitions and their devices

Sandip Tiwari

in Nanoscale Device Physics: Science and Engineering Fundamentals

Published in print:
2017
Published Online:
August 2017
ISBN:
9780198759874
eISBN:
9780191820847
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198759874.003.0004
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

Phase transitions as a collective response of an ensemble, with appearance of unique stable properties spontaneously, is critical to a variety of devices: electronic, magnetic, optical, and their ... More


A Phenomenological Theory of Superconductivity: The Ginzburg–Landau Theory and the Josephson Effects

J. B. Ketterson

in The Physics of Solids

Published in print:
2016
Published Online:
December 2016
ISBN:
9780198742906
eISBN:
9780191821523
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742906.003.0033
Subject:
Physics, Condensed Matter Physics / Materials

This chapter begins with an analysis of Ginzburg–Landau theory. The discussion in Chapter 32 has brought out the idea that superconductivity is some kind of macroscopic quantum state. Ginzburg and ... More


Nonequilibrium Quantum Hydrodynamics

Klaus Morawetz

in Interacting Systems far from Equilibrium: Quantum Kinetic Theory

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198797241
eISBN:
9780191838743
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198797241.003.0015
Subject:
Physics, Condensed Matter Physics / Materials

The balance equations resulting from the nonlocal kinetic equation are derived. They show besides the Landau-like quasiparticle contributions explicit two-particle correlated parts which can be ... More


Symmetry relations at phase transitions

Ulrich Müller

in Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199669950
eISBN:
9780191775086
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669950.003.0015
Subject:
Physics, Crystallography: Physics, Condensed Matter Physics / Materials

Phase transitions in the solid state are classified as being continuous or discontinuous. According to Landau theory, continuous phase transitions require that there is a group-subgroup relation ... More


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