Spin Glasses and Other Frustrated Systems /

Spin Glasses and Other Frustrated Systems / / Debashish Chowdhury.

Debashish Chowdhury's critical review of more than a thousand papers not only identifies the complexities involved in the theoretical understanding of the real spin glasses but also explains the physical concepts and the mathematical formalisms that have been used successfully in solving the in...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
VerfasserIn:
Chowdhury, Debashish,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©1987
Year of Publication:2014
Edition:Course Book
Language:English
Series:Princeton Series in Physics ; 43
Online Access:
Physical Description:1 online resource (400 p.)
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Table of Contents:
  • Frontmatter
  • Acknowledgements
  • A note for the readers
  • Contents
  • 1. Real Spin Glass (SG) Materials, SG-Like Materials and SG Models
  • 2. A Brief History of the Early Theories of SG
  • 3. SG "Phase Transition": Order Parameters and Mean-Field Theory
  • 4. Sherrington-Kirkpatrick (SK) Model and the SK Solution
  • 5. Instability of the SK Solution
  • 6. Thouless-Anderson-Palmer (TAP) Solution of the SK Model
  • 7. Parisi Solution of the SK Model and its Stability
  • 8. Sompolinsky1s Dynamical Solution of the SK Model and its Stability
  • 9. Ergodicity, Pure States, Ultrametricity, and Fluctuation-Dissipation Theorem
  • 10. p-Spin Interaction and the Random Energy Model
  • 11. Separable SG Glass Models
  • 12 The Spherical Model of SG
  • 13. MFT of Vector SG: Mixed Phase
  • 14. Other Long-Ranged Models
  • 15. Anisotropic Exchange Interactions and SG
  • 16. Nonlinear Susceptibilities, AT and GT Lines and Scaling Theories
  • 17. High-Temperature Expansion, Renormalization Group; Upper and Lower Critical Dimensions
  • 18. Spin Dynamics in Vector SG: Propagating Modes
  • 19. Spin Dynamics in SG: Relaxational Modes and Critical Dynamics
  • 20. Frustration, Gauge Invariance, Defects and SG
  • 21. Is the SG Transition Analogous to the Blocking of Superparamagnetic Clusters?
  • 22. Is the SG Transition Analogous to Percolation?
  • 23. Is the SG Transition Analogous to the Localization-Delocalization Transition?
  • 24. Computer Simulation Studies and "Numerically Exact" Treatment of SG Models
  • 25. Transport Properties of SG and Sound Attenuation in SG
  • 26. Miscellaneous Aspects of SG
  • 27. SG-Like Systems
  • 28. Conclusion
  • Appendix A: SG Systems and the Nature of the Interactions
  • Appendix B: General Features of the Experimental Results
  • References
  • Addendum

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