Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1997-05-11
In ``Spin Glasses and Random Fields'', ed. A.P. Young, World Scientific (Singapore) 1998, p. 321
Physics
Condensed Matter
Disordered Systems and Neural Networks
36 pages; 4 figures (5 .eps files); uses lprocl.sty (included) and epsfig; To be published in ``Spin glasses and random fields
Scientific paper
We examine here various aspects of the statics and dynamics of disordered elastic systems such as manifolds and periodic systems. Although these objects look very similar and indeed share some underlying physics, periodic systems constitute a class of their own with markedly different properties. We focus on such systems, review the methods allowing to treat them, emphasize the shift of viewpoint compared to the physics of manifolds and discuss their physics in detail. As for the statics, periodicity helps the system to retain a quasi-translational order and to be stable with respect to the proliferation of free topological defects such as dislocations. A disordered periodic system thus leads to a glass phase with Bragg peaks: the Bragg glass. On the other hand, for driven lattices, transverse periodicity allows the system to retain its glassy nature, leading to a moving glass phase. The existence of these two phases has important theoretical and experimental consequences, in particular for vortex physics in superconductors, the physical system which is mainly focused here.
Doussal Pierre Le
Giamarchi Thierry
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