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Defects and Geometry in Condensed Matter Physics

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ISBN-10: 0521801591

ISBN-13: 9780521801591

Edition: 2001

Authors: David R. Nelson

List price: $153.00
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Description:

Thermally excited defects such as vortices, disclinations, dislocations, vacancies and interstitials play a key role in the physics of crystals, superfluids, superconductors, liquid crystals and polymer arrays. Geometrical aspects of statistical mechanics become particularly important when thermal fluctuations entangle or crumple extended line-like or surface-like objects in three dimensions. In the case of entangled vortices above the first-order flux lattice melting transition in high temperature superconductors, the lines themselves are defects. A variety of low temperature theories combined with renormalization group ideas are used to describe the delicate interplay between defects,…    
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Book details

List price: $153.00
Copyright year: 2001
Publisher: Cambridge University Press
Publication date: 3/25/2002
Binding: Hardcover
Pages: 392
Size: 6.69" wide x 9.61" long x 0.87" tall
Weight: 1.804
Language: English

David Nelson is Mallinckrodt Professor of Physics and Professor of Applied Physics at Harvard University. He received his Ph.D. in 1975 from Cornell University. His research focuses on collective effects in the physics of condensed matter, particularly on the interplay between fluctuations, geometry and statistical mechanics. In collaboration with his Harvard colleague, Bertrand I. Halperin, he is responsible for a theory of dislocation- and disclination-mediated melting in two dimensions. The prediction of Halperin and Nelson of a fourth 'hexatic' phase of matter, interposed between the usual solid and liquid phases, has now been confirmed in many experiments on thin films and bulk…    

Preface to the book
Acknowledgements
Fluctuations, renormalization and universality
Fluctuations and universality in condensed matter physics
The universal Prandtl number in two-dimensional hydrodynamics
The universal Poisson ratio in fluctuating polymerized membranes
Defect-mediated phase transitions and hydrodynamic theories
The contents of this book
Renormalization
The self-dual point of Ising spins in two dimensions
References
Defect-mediated phase transitions
Preface
Introduction
The XY model and superfluidity in two dimensions
Dynamic scaling and third sound in helium films
Statistical mechanics of two-dimensional melting
Melting dynamics
Anisotropic melting
Line singularities in three dimensions
References
Order, frustration and two-dimensional glass
Preface
Introduction
Order and frustration in quenched binary arrays
Order and frustration in spaces of incommensurate curvature
References
The structure and statistical mechanics of three-dimensional glass
Preface
A physical picture
The model free energy
References
The statistical mechanics of crumpled membranes
Preface
Flat surfaces
Crumpled membranes
Normal-normal correlations in liquid membranes
Tethered surfaces with bending energy
Defects and hexatic order in membranes
References
Defects in superfluids, superconductors and membranes
Preface
Introduction
Two-dimensional superfluids and superconductors
Defects in membranes and monolayers
Superfluid density and momentum correlations
References
Vortex-line fluctuations in superconductors from elementary quantum mechanics
Preface
Introduction
Correlated pinning and quantum bound states
Flux melting and the quantum harmonic oscillator
Vortex entanglement in the liquid phase
The transfer-matrix representation of the partition function
Vortex probability distributions
References
Correlations and transport in vortex liquids
Preface
Introduction
Statistical mechanics of flexible lines
Correlations in flux liquids with weak disorder
Dynamics near the irreversibility line
References
Statistical mechanics of directed polymers
Preface
Introduction
One polymer in a nematic solvent
A model of polymer nematics
Mapping onto boson quantum mechanics
Correlations in polymer nematics with soft broken symmetry
The hydrodynamic treatment of line liquids
Defects in hexagonal columnar crystals
References
Index