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Growing length scales in aging systems

Federico Corberi, Leticia F. Cugliandolo, and Hajime Yoshino

in Dynamical Heterogeneities in Glasses, Colloids, and Granular Media

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199691470
eISBN:
9780191729799
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691470.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The goal of this chapter is to review recent analytical results about the growth of a (static) correlation length in glassy systems, and the connection that can be made between this lengthscale and ... More


SCALING HYPOTHESIS

V.F. Gantmakher

in Electrons and Disorder in Solids

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567561
eISBN:
9780191718267
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567561.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents phenomenological scaling theory of quantum metal-insulator transition of non-interacting electrons. It confirms the existence of the transition in 3D-system; and elucidates the ... More


Real-Space Analysis

Andreas Michels

in Magnetic Small-Angle Neutron Scattering: A Probe for Mesoscale Magnetism Analysis

Published in print:
2021
Published Online:
May 2021
ISBN:
9780198855170
eISBN:
9780191889547
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198855170.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

Spin-misalignment correlations in real space are the subject of this chapter. The correlation function and correlation length of the spin-misalignment SANS cross section are introduced, their ... More


Renormalization group: N-component fields

Jean Zinn-Justin

in Phase Transitions and Renormalization Group

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199227198
eISBN:
9780191711107
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227198.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter studies more general models with an N-component field (or order parameter), from the viewpoint of the renormalization group (RG). Indeed, one can find interesting physical systems for ... More


Diffusion and permeation in soft matter

Masao Doi

in Soft Matter Physics

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199652952
eISBN:
9780191774942
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199652952.003.0008
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Diffusion and permeation are the processes taking place in multi-component systems where certain components (diffusing components) move relative to the other components (matrix components). Such ... More


Critical domain: Universality, ε-expansion

Jean Zinn-Justin

in Quantum Field Theory and Critical Phenomena: Fifth Edition

Published in print:
2021
Published Online:
June 2021
ISBN:
9780198834625
eISBN:
9780191872723
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198834625.003.0016
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In Chapter 15, the scaling behaviour of correlation functions at criticality, T = Tc, has been derived. This chapter is devoted to the critical domain, where the correlation length is large with ... More


Diffraction in the Static Approximation

Andrew T. Boothroyd

in Principles of Neutron Scattering from Condensed Matter

Published in print:
2020
Published Online:
October 2020
ISBN:
9780198862314
eISBN:
9780191895081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198862314.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics, Condensed Matter Physics / Materials

The basic principles of crystallography are reviewed, including the lattice, basis and reciprocal lattice. The Bragg diffraction law and Laue equation, which describe coherent scattering from a ... More


Critical phenomena: General considerations. Mean-field theory (MFT)

Jean Zinn-Justin

in Quantum Field Theory and Critical Phenomena: Fifth Edition

Published in print:
2021
Published Online:
June 2021
ISBN:
9780198834625
eISBN:
9780191872723
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198834625.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter is devoted to a brief review of general properties of phase transitions in macroscopic physics and, in particular in lattice models. Some of these lattice models actually appear as ... More


Quantities Directly Measurable by Scattering

Eaton E. Lattman, Thomas D. Grant, and Edward H. Snell

in Biological Small Angle Scattering: Theory and Practice

Published in print:
2018
Published Online:
September 2018
ISBN:
9780199670871
eISBN:
9780191749575
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199670871.003.0003
Subject:
Physics, Soft Matter / Biological Physics

In this chapter we note that solution scattering data can be divided into four regions. At zero scattering angle, the scattering provides information on molecular weight of the particle in solution. ... More


Structures and Phase Transitions

Toshiaki Enoki, Morinobu Endo, and Masatsugu Suzuki

in Graphite Intercalation Compounds and Applications

Published in print:
2003
Published Online:
November 2020
ISBN:
9780195128277
eISBN:
9780197561409
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195128277.003.0005
Subject:
Chemistry, Materials Chemistry

Graphite intercalation compounds (GICs) have unique layered structures where intercalate layers are arranged periodically between graphite layers. This phenomenon is known as staging, and the ... More


Liquid crystals

Masao Doi

in Soft Matter Physics

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199652952
eISBN:
9780191774942
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199652952.003.0005
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Liquid crystal is a state of matter which has an intermediate order between liquids and crystals. While fluid in nature, the materials in liquid crystals posses an order in molecular orientation. As ... More


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