Defects and Geometry in Condensed Matter Physics
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, statistical mechanics and geometry characteristic of these problems in condensed matter physics. In this 2002 book, David Nelson provides a coherent and pedagogic graduate level introduction to the field of defects and geometry.
- Written by a leading statistical physicist
- Examines topics that play a crucial role in solid state physics
- A clear introduction for graduate students
Reviews & endorsements
"The book provides an admirable overview of Nelson's achievements and of their relation to other works." Physics Today
"This book exposes the common grounds of several apparently disconnected problems of actual relevance in condensed matter theory. This is an ambitious goal that the book accomplishes quite successfully.... The book by Dr. Nelson will be welcomed by the scientific community, and it is certainly a necessary item in the library of any condensed matter physicist working on this and related areas." Journal of Statistical Physics
"...his excellent surveys in the proceedings of summer schools, workshops, and conferences from 1983 to 1996. Defects and Geometry in Condensed Matter Physics is primarily a compilation (of Nelson's surveys)....It is valuable to have all these contributions collected in one volume." Physics Today
Product details
March 2002Hardback
9780521801591
392 pages
244 × 170 × 22 mm
0.82kg
140 b/w illus. 2 tables
Available
Table of Contents
- 1. Fluctuations, renormalization and universality
- 2. Defect mediated phase transitions
- 3. Order, frustration
- 4. The structure and statistical mechanics of glass
- 5. The statistical mechanics of crumpled membranes
- 6. Defects in superfluids, superconductors and membranes
- 7. Vortex line fluctuations in superconductors from elementary quantum mechanics
- 8. Correlations and transport in vortex liquids
- 9. The statistical mechanics of directed polymers.