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