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Contents
Glassy Phases and Dynamics of Randomly Pinned Elastic Media
Leon Balents
May 30, 1996
Contents
Introduction
General remarks
Plan of the notes
Random Manifolds
Prologue: Ising Model
Phases and the Renormalization Group
Coarsening in the pure model
Random bond Ising model
Elastic manifolds
Phase diagram of elastic manifolds
Scaling picture of the ordered phase
Coarsening in the random magnet
Systematic approaches
Replica method
Renormalization group method
Directed polymers
Flux lines in type II superconductors
Relation to surface growth models
Special results for the DP
Elastic Media
Systems and Models
Survey
Vortex lattices
Charge density waves
Wigner crystals
Elastic Description
Vortex lattices
Charge density waves
Wigner crystals
Spatial order parameters and broken symmetries
Charge density waves
Vortex lattices and Wigner crystals
Topological defects
Phase slips
Dislocations
Vacancy and interstitial lines
Topological Glasses
Inclusion of disorder
Zero temperature fixed point
Behavior in
d
=2
Brief synopsis of the RG in two dimensions
Beyond the elastic approximation
Defect energetics
Plastic phases
Glass transitions
Driven dynamics
Elastic Depinning
Nonconserved Dynamics
Conserved Dynamics
References
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Leon Balents
Thu May 30 08:21:44 PDT 1996