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020 _a0521801591
020 _a0521004004 (pbk.)
035 _a(OCoLC)46473940
_z(OCoLC)49396155
035 _aucoclc46473940
035 _a4579399
040 _aDLC
_cLearning Resource Center
_dC#P
_dUKM
_dCLU
042 _apcc
049 _aCLUP
050 0 0 _aQC173.458.D43
_bN45 2002
082 0 0 _223
_a530.412/N332
084 _aHS
087 _aGRef
085 0 0 _aHS 530.412/N332
_223
521 _aHS
100 1 _aNelson, David R.,
_d1951-
245 1 0 _aDefects and geometry in condensed matter physics /
_cDavid R. Nelson.
264 _aCambridge, UK ;
_aNew York :
_bCambridge University Press,
_c©2002.
300 _axiii, 377 p. :
_bill. ;
_c26 cm.
504 _aIncludes bibliographical references and index.
505 _a 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 -- Defect-mediated phase transitions -- 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 -- Order, frustration and two-dimensional glass -- Order and frustration in quenched binary arrays -- Order and frustration in spaces of incommensurate curvature -- The structure and statistical mechanics of three-dimensional glass -- A physical picture -- The model free energy -- The statistical mechanics of crumpled membranes -- Flat surfaces -- Crumpled membranes -- Normal-normal correlations in liquid membranes -- Tethered surfaces with bending energy -- Defects and hexatic order in membranes -- Defects in superfluids, superconductors and membranes -- Two-dimensional superfluids and superconductors -- Defects in membranes and monolayers -- Superfluid density and momentum correlations -- Vortex-line fluctuations in superconductors from elementary quantum mechanics -- Correlated pinning and quantum bound states -- Flux melting and the quantum harmonic oscillator.
520 _aThermally 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, statistical mechanics and geometry characteristic of these problems in condensed matter physics. David Nelson provides a coherent and pedagogic graduate level introduction to the field of defects and geometry.
650 0 _aCondensed matter
_xDefects.
910 _a20 May 2002 rv
910 _aMARS
942 _2ddc
_cBK
999 _c25030
_d25030