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Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Pier A. Mello and Narendra Kumar

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book presents a statistical theory of complex wave scattering and quantum transport in a class of physical systems of current interest having chaotic classical dynamics (e.g., microwave cavities ... More


The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Helmut Hofmann

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.001.0001
Subject:
Physics, Nuclear and Plasma Physics

This book offers a survey of nuclear physics at low energies and discusses similarities to mesoscopic systems. It addresses systems at finite excitations of the internal degrees of freedom where ... More


Entropic fluctuations in quantum statistical mechanics—an introduction

V. Jakšić, Y. Ogata, Y. Pautrat, and C.-A. Pillet

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/9780199652495.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter presents a self-contained introduction to some recent developments in nonequilibrium quantum statistical mechanics. In the elementary framework of finite dimensional quantum systems it ... More


LINEAR RESPONSE THEORY OF QUANTUM ELECTRONIC TRANSPORT

Pier A. Mello and Narendra Kumar

in Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the linear response theory of Kubo and its specialization to calculating the conductance of a narrow constriction connected adiabatically to reservoirs through widening horns. ... More


The formal framework of linear-response TDDFT

Carsten A. Ullrich

in Time-Dependent Density-Functional Theory: Concepts and Applications

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199563029
eISBN:
9780191775130
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199563029.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the linear-response framework of time-dependent density-functional theory (TDDFT). It begins with a thorough and self-contained exposition of general linear-response theory for ... More


Average collective motion of small amplitude

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/9780198504016.003.0006
Subject:
Physics, Nuclear and Plasma Physics

This chapter focuses on collective motion of isoscalar nature parameterized by shape variables. The equations of motion are derived from energy conservation as implied by self-consistency. A basic ... More


Correlation Functions

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/9780199235346.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

This chapter reviews the theory of correlation functions for classical Hamiltonian systems as a method for a statistical description of the dynamics. Mathematical tools are introduced, which provide ... More


Linear Response Theory

Abraham Nitzan

in Chemical Dynamics in Condensed Phases: Relaxation, Transfer and Reactions in Condensed Molecular Systems

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198529798
eISBN:
9780191916649
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198529798.003.0017
Subject:
Chemistry, Physical Chemistry

Equilibrium statistical mechanics is a first principle theory whose fundamental statements are general and independent of the details associated with ... More


Solvation Dynamics

Abraham Nitzan

in Chemical Dynamics in Condensed Phases: Relaxation, Transfer and Reactions in Condensed Molecular Systems

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198529798
eISBN:
9780191916649
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198529798.003.0022
Subject:
Chemistry, Physical Chemistry

Solvent dynamical effects on relaxation and reaction process were considered in Chapters 13 and 14. These effects are usually associated with small ... More


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