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Full Description
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 infiniterange model. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Contents
*FrontMatter, pg. i*Acknowledgements, pg. vii*A note for the readers, pg. ix*Contents, pg. xi*1. Real Spin Glass (SG) Materials, SG-Like Materials and SG Models, pg. 1*2. A Brief History of the Early Theories of SG, pg. 18*3. SG "Phase Transition": Order Parameters and Mean-Field Theory, pg. 24*4. Sherrington-Kirkpatrick (SK) Model and the SK Solution, pg. 38*5. Instability of the SK Solution, pg. 46*6. Thouless-Anderson-Palmer (TAP) Solution of the SK Model, pg. 52*7. Parisi Solution of the SK Model and its Stability, pg. 62*8. Sompolinsky1s Dynamical Solution of the SK Model and its Stability, pg. 68*9. Ergodicity, Pure States, Ultrametricity, and Fluctuation-Dissipation Theorem, pg. 73*10. p-Spin Interaction and the Random Energy Model, pg. 89*11. Separable SG Glass Models, pg. 96*12 The Spherical Model of SG, pg. 100*13. MFT of Vector SG: Mixed Phase, pg. 103*14. Other Long-Ranged Models, pg. 109*15. Anisotropic Exchange Interactions and SG, pg. 111*16. Nonlinear Susceptibilities, AT and GT Lines and Scaling Theories, pg. 121*17. High-Temperature Expansion, Renormalization Group; Upper and Lower Critical Dimensions, pg. 128*18. Spin Dynamics in Vector SG: Propagating Modes, pg. 137*19. Spin Dynamics in SG: Relaxational Modes and Critical Dynamics, pg. 149*20. Frustration, Gauge Invariance, Defects and SG, pg. 162*21. Is the SG Transition Analogous to the Blocking of Superparamagnetic Clusters?, pg. 174*22. Is the SG Transition Analogous to Percolation?, pg. 178*23. Is the SG Transition Analogous to the Localization-Delocalization Transition?, pg. 181*24. Computer Simulation Studies and "Numerically Exact" Treatment of SG Models, pg. 186*25. Transport Properties of SG and Sound Attenuation in SG, pg. 203*26. Miscellaneous Aspects of SG, pg. 211*27. SG-Like Systems, pg. 231*28. Conclusion, pg. 277*Appendix A: SG Systems and the Nature of the Interactions, pg. 278*Appendix B: General Features of the Experimental Results, pg. 283*References, pg. 325*Addendum, pg. 375
