Jump to ContentJump to Main Navigation

You are looking at 1-16 of 16 items

  • Keywords: mean-field theory x
Clear All Modify Search

View:

Statistical Theory, Soft Modes, And Phase Transitions

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/9780198507789.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

In order to acquire a simple physical picture of the dynamic mechanism of a phase transition it is necessary to use the simplest of many-body approximations. It is instructive, in particular, to ... More


Validity and Non-Validity of Propagation of Chaos

Karsten Matthies and Florian Theil

in Analysis and Stochastics of Growth Processes and Interface Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199239252
eISBN:
9780191716911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239252.003.0005
Subject:
Mathematics, Probability / Statistics, Analysis

In this chapter a novel, rigorous approach to analyse the validity of continuum approximations for deterministic interacting particle systems is discussed. The focus is on the Boltzmann–Grad limit of ... 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


Dynamical Mean-field Theories of Correlation and Disorder

E. Miranda and V. Dobrosavljević

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/9780199592593.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter provides a review of recently-developed Dynamical Mean-Field Theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. The chapter first ... 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


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


The Infinite-Range Spin Glass

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/9780691147338.003.0006
Subject:
Sociology, Science, Technology and Environment

This chapter introduces mean field theory, both as a general class of models and in its specific incarnation in spin glasses, the Sherrington–Kirkpatrick model. This is undoubtedly the most ... More


Mean-Field Theory of Spin Glasses

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/9780198509417.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the problem of spin glasses. If the interactions between spins are not uniform in space, the analysis of the previous chapter does not apply. In particular, when the ... More


Magnetism at Finite Temperatures

Jürgen Kübler

in Theory of Itinerant Electron Magnetism, 2nd Edition

Published in print:
2021
Published Online:
October 2021
ISBN:
9780192895639
eISBN:
9780191915833
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895639.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Thermal properties of magnets are dominated by low-lying excitations, perused systematically. Magnon spectra of elementary metals and compounds are obtained theoretically and compared with ... More


Quantum phase transitions

G. G. Batrouni and R. T. Scalettar

in Ultracold Gases and Quantum Information: Lecture Notes of the Les Houches Summer School in Singapore: Volume 91, July 2009

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199603657
eISBN:
9780191729515
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199603657.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses quantum phase transitions (QPT). It starts with a brief review of thermal phase transitions, critical exponents and scaling laws. The scaling laws are then generalized to 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


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


Cold quantum gases and Bose–Einstein condensation

Robert Seiringer

in Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches Summer School: Volume 95, August 2010

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199652495
eISBN:
9780191741203
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199652495.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics

Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995. Since then there has been a surge of activity in this field, with ingenious experiments putting forth ... More


Systems of Interacting Particles

Daniel V. Schroeder

in An Introduction to Thermal Physics

Published in print:
2021
Published Online:
March 2021
ISBN:
9780192895547
eISBN:
9780191915000
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895547.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents two examples of the application of Boltzmann statistics to systems with nontrivial interactions between particles. The first example is a nonideal gas, treated approximately ... More


Rare-earth intermetallics: heavy fermions and valence fluctuators

Veljko Zlatić and René Monnier

in Modern Theory of Thermoelectricity

Published in print:
2014
Published Online:
June 2014
ISBN:
9780198705413
eISBN:
9780191774430
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198705413.003.0014
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses transport data on Ce- and Yb-based strongly correlated thermoelectric materials, in both the high-temperature regime, including pressure and doping dependences, and the ... More


Thermodynamic Scaling Near the Critical Point

Eldred H. Chimowitz

in Introduction to Critical Phenomena in Fluids

Published in print:
2005
Published Online:
November 2020
ISBN:
9780195119305
eISBN:
9780197561249
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195119305.003.0005
Subject:
Chemistry, Physical Chemistry

Thermodynamic scaling near the critical point is a signature of critical phenomena, and many useful applications of supercritical solvent fluids depend upon exploiting this behavior in some ... More


View: