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Gamma-Convergence for Beginners

Andrea Braides

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198507840
eISBN:
9780191709890
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507840.001.0001
Subject:
Mathematics, Applied Mathematics

This book introduces the main concepts of the theory of De Giorgi's Gamma-convergence and gives a description of its main applications to the study of asymptotic variational problems. The content is ... More


SPIN SUSCEPTIBILITY AND NMR

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/9780198528159.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the contributions of superconducting fluctuations to the spin susceptibility and the NMR relaxation rate. It is shown that for both these effects, the interplay of different ... More


Introduction to Reactive Gas Dynamics

Raymond Brun

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199552689
eISBN:
9780191720277
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199552689.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The high enthalpy gas flows, associating high velocities, and high temperatures, are the scene of physical and chemical processes such as molecular vibrational excitation, dissociation, ionization, ... More


Fundamentals of Linear Thermoelasticity with Finite Wave Speeds

Józef Ignaczak and Martin Ostoja‐Starzewski

in Thermoelasticity with Finite Wave Speeds

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199541645
eISBN:
9780191716164
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199541645.003.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

First, the basic equations of classical thermoelasticity (based on Fourier heat conduction) are reviewed. Then, starting from continuum thermomechanics, the corresponding equations of the ... More


SATURATION OF ABSORPTION

S. D. Ganichev and W. Prettl

in Intense Terahertz Excitation of Semiconductors

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528302
eISBN:
9780191713637
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528302.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses terahertz radiation-induced saturation of absorption, including incoherent and coherent saturation effects. Saturation due to slow relaxation and Rabi oscillations in various ... More


Asymptotic Relaxation Laws

Wolfgang Götze

in Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199235346
eISBN:
9780191715600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235346.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

In order to identify the essential items of the mode-coupling-theory scenarios, this chapter describes asymptotic expansions of the correlation functions for small frequencies and small separations ... More


INTERACTION OF A SPIN WITH THE EXTERNAL WORLD AT LOW TEMPERATURE

Dante Gatteschi, Roberta Sessoli, and Jacques Villain

in Molecular Nanomagnets

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198567530
eISBN:
9780191718298
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567530.003.0009
Subject:
Physics, Condensed Matter Physics / Materials

The fundamental aspects of coherence, incoherence, and relaxation, which characterize the interaction of a molecular spin with the external world, are worked out. The effects determined by the ... More


Introduction to Large Deviation Theory

M. Vidyasagar

in Hidden Markov Processes: Theory and Applications to Biology

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691133157
eISBN:
9781400850518
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691133157.003.0005
Subject:
Mathematics, Probability / Statistics

This chapter provides an introduction to large deviation theory. It begins with an overview of the motivatio n for the problem under study, focusing on probability distributions and how to construct ... More


Relaxation

Rushmir Mahmutćehajić

in On Love: In the Muslim Tradition

Published in print:
2007
Published Online:
March 2011
ISBN:
9780823227518
eISBN:
9780823237029
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fso/9780823227518.003.0016
Subject:
Religion, Islam

The will leads up the steep slope to the Height, so the self is in a state of tension. The first level of love is the presence of beauty. In it, relaxation is revealed as serenity, harmony, and ... More


Poverty

Rushmir Mahmutćehajić

in On Love: In the Muslim Tradition

Published in print:
2007
Published Online:
March 2011
ISBN:
9780823227518
eISBN:
9780823237029
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fso/9780823227518.003.0017
Subject:
Religion, Islam

Opposed to the certainty that everything may be received from God, and that, consequently, it is necessary to turn and abandon oneself to Him, is the denial of everything else, since human openness ... More


THE LOVE OF A WOMAN

Rushmir Mahmutćehajić

in On Love: In the Muslim Tradition

Published in print:
2007
Published Online:
March 2011
ISBN:
9780823227518
eISBN:
9780823237029
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fso/9780823227518.003.0030
Subject:
Religion, Islam

By seeing beauty in the figure of woman, man discloses himself. That is his relaxation or sobriety before the possibility of disclosing himself in the outer world. What is disclosed is revealed as ... More


Principles of systematic upscaling

Achi Brandt

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0007
Subject:
Mathematics, Applied Mathematics

Building on the complementary advantages of Renormalization Group (RG) and multigrid (MG) methods, Systematic Upscaling (SU) comprises rigorous procedures for deriving suitable variables and ... More


Metals and quantum wires

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0015
Subject:
Physics, Nuclear and Plasma Physics

This chapter discusses conductivity in metals and semiconductor heterostructures. It aims to exhibit the similarities to nuclear transport problems. Semi-classical transport equations are used and ... More


Transport equations for the one-body density

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0021
Subject:
Physics, Nuclear and Plasma Physics

This chapter begins by calculating the Wigner transform for the von Neumann equation for the one-body density operator. It shows how the Liouville equation follows in leading order in an expansion to ... More


Linear response theory

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0023
Subject:
Physics, Nuclear and Plasma Physics

This chapter presents a universal definition of linear response, which at first is studied for the example of the damped oscillator. From the quantal time evolution operator lowest order transition ... More


Glassy Dynamics of Liquids–Facets of the Phenomenon

Wolfgang Götze

in Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199235346
eISBN:
9780191715600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235346.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents an elementary discussion of some glassy-dynamics features, which are exhibited by experimental data and by molecular-dynamics-simulation results. The outstanding property of ... More


Synchronization by Oscillation

Buzsáki György

in Rhythms of the Brain

Published in print:
2006
Published Online:
May 2009
ISBN:
9780195301069
eISBN:
9780199863716
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195301069.003.0006
Subject:
Neuroscience, Neuroendocrine and Autonomic, Techniques

Opposing forces and positive feedback are typically required for neuronal oscillations. Single neurons oscillate mainly because voltage-gated ion channels with opposite properties depolarize and ... More


Irreversibility, Relaxation, and the Approach to Equilibrium

T. Grandy Walter

in Entropy and the Time Evolution of Macroscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199546176
eISBN:
9780191720161
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546176.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter addresses the deep questions of the relation of entropy to these topics first raised in Chapter 1.


The Time-dependent Ginzburg-Landau Theory

Nikolai B. Kopnin

in Theory of Nonequilibrium Superconductivity

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198507888
eISBN:
9780191709722
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507888.003.11
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter specifies the conditions when the time-dependent Ginzburg–Landau (TDGL) model can be justified microscopically. The TDGL model is shown to be exact for gapless superconductors. It is not ... More


Molecular Nanomagnets

Dante Gatteschi, Roberta Sessoli, and Jacques Villain

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198567530
eISBN:
9780191718298
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567530.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

Nanomagnetism is a rapidly expanding area of research in nanoscience, opening perspectives of novel applications. Magnetic molecules are at the very bottom of the possible size of nanomagnets, and ... More


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