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

Nasr Ghoniem and Daniel Walgraef

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

In materials, critical phenomena such as phase transitions, plastic deformation and fracture are intimately related to self-organization. Understanding the origin of spatio-temporal order in systems ... More


FERROIC MATERIALS

Vinod K. Wadhawan

in Smart Structures: Blurring the Distinction Between the Living and the Nonliving

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199229178
eISBN:
9780191711282
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199229178.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses ferroic materials, which are the first of the three types of nonlinear-response materials discussed in this book, the other two being soft materials and nanostructured ... More


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


Crystal (structural) physics of mixed stack π–π*molecular compounds

Frank H. Herbstein

in Crystalline Molecular Complexes and Compounds: Structures and Principles

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198526605
eISBN:
9780191712142
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526605.003.0016
Subject:
Physics, Crystallography: Physics

Thermodynamic measurements for a limited sample of crystalline mixed-stack 1:1 π-molecular compounds show that most are enthalpy-stabilized, some entropy-stabilized, and a few both enthalpy and ... More


The Physics of Lyotropic Liquid Crystals: Phase Transitions and Structural Properties

Antônio M. Figueiredo Neto and Silvio R. A. Salinas

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198525509
eISBN:
9780191711756
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525509.001.0001
Subject:
Physics, Crystallography: Physics

Mixtures of surfactant or amphiphilic molecules and solvents are known to display a large number of lyotropic mesophases. Although the physics of thermotropic liquid crystals has been vastly ... More


*THE ‘SLICING’ METHOD

Andrea Braides

in Gamma-Convergence for Beginners

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198507840
eISBN:
9780191709890
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507840.003.0016
Subject:
Mathematics, Applied Mathematics

This chapter presents a self-contained account of the slicing method that allows the exhibition of a lower bound for high-dimensional problems through their one-dimensional sections. After computing ... More


Oxygen Octahedra

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/9780198507789.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

A very important group of ferroelectrics is that known as the perovskites from the mineral perovskite CaTiO3 (which itself is actually a distorted perovskite structure). The perfect perovskite ... 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


Phase Transitions Between Periodically Organized Lyotropic Phases

Antônio M. Figueiredo Neto and Silvio R. A. Salinas

in The Physics of Lyotropic Liquid Crystals: Phase Transitions and Structural Properties

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198525509
eISBN:
9780191711756
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525509.003.0004
Subject:
Physics, Crystallography: Physics

This chapter discusses phase diagrams and phase transitions in lyotropic liquid crystals from the point of view of symmetry transformations between periodically ordered structures. In some systems, ... More


Phase transitions

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0028
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter focuses on phase transitions, discussing latent heat and deriving the Clausius-Clapeyron equation. It discusses the criteria for stability and metastability, and derives the Gibbs phase ... More


Coupling To The Soft Mode

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/9780198507789.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

Near the temperature of a second-order structural phase transition, and in particular near the Curie point of a ferroelectric, anomalously strong ultrasonic absorption occurs. This chapter considers ... 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


Conductor-Insulator Quantum Phase Transitions

Vladimir Dobrosavljevic, Nandini Trivedi, and James M. Valles, Jr. (eds)

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199592593
eISBN:
9780191741050
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199592593.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Quantum phase transitions describe the violent rearrangement of electrons or atoms as they evolve from well defined excitations in one phase to a completely different set of excitations in another. ... More


Information, Physics, and Computation

Marc Mézard and Andrea Montanari

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book presents a unified approach to a rich and rapidly evolving research domain at the interface between statistical physics, theoretical computer science/discrete mathematics, and ... More


PHASE-TRANSITION PROBLEMS

Andrea Braides

in Gamma-Convergence for Beginners

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198507840
eISBN:
9780191709890
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507840.003.0007
Subject:
Mathematics, Applied Mathematics

Phase transitions with sharp interfaces are interpreted as segmentation problems, and are approximated with perturbations of non-convex energies (gradient theory of phase transitions). The ... More


FLUCTUATIONS NEAR SUPERCONDUCTOR-INSULATOR TRANSITION

Anatoly Larkin and Andrei Varlamov

in Theory of Fluctuations in Superconductors

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528159
eISBN:
9780191713521
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528159.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the quantum phase transition using the example of superconductor-insulator transition. For the 3D case, a version of the Ginzburg-Landau formalism is formulated from both ... More


FLUCTUATIONS IN NANOGRAINS, NANODROPS AND GRANULAR SUPERCONDUCTORS

Anatoly Larkin and Andrei Varlamov

in Theory of Fluctuations in Superconductors

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528159
eISBN:
9780191713521
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528159.003.0012
Subject:
Physics, Condensed Matter Physics / Materials

This chapter starts off with a discussion of the specifics of superconductivity in ultrasmall superconducting grains. The method of optimal fluctuations in the vicinity of Tc is then introduced, and ... More


Physics on a human scale

A. J. Leggett

in The Problems of Physics

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211241
eISBN:
9780191706837
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211241.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter argues that the widespread notion that the discipline of condensed matter physics is devoted to deriving the properties of complex many-body systems from that of their atomic-level ... 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


Spin Glasses: General Features

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0005
Subject:
Sociology, Science, Technology and Environment

This chapter finally deals with the concept of spin glasses. The intention is not to provide anything approaching a thorough history of the subject. The field today is broad, with threads and ... More


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