Boltzmann distribution of free energies in a finite-connectivity spin-glass system and the cavity approach

Frontiers of Physics - Tập 2 Số 2 - Trang 238-250 - 2007
Hang Zhou1
1Institute of Theoretical Physics, The Chinese Academy of Sciences, Beijing 100080, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Edwards S. F. and Anderson P. W., J. Phys. F: Met. Phys., 1975, 5: 965–974

Sherrington D. and Kirkpatrick S., Phys. Rev. Lett., 1975, 35: 1792–1796

Mézard M., Paris G., and Virasoro M. A., Spin Glass Theory and Beyond, World Scientific, Singapore, 1987

Mézard M. and Parisi G., Eur. Phys. J. B, 2001, 20: 217–233

Bethe H. A., Proc. R. Soc. London A, 1935, 150: 552–575

Peierls R., Proc. R. Soc. London A, 1936, 154: 207–222

Peierls R., Proc. Camb. Phil. Soc., 1936, 32: 477–481

Mézard M. and Parisi G., J. Stat. Phys., 2003, 111: 1–34

Mézard M., Parisi G. and Zecchina R., Science, 2002, 297: 812–15

Mézard M. and Zecchina R., Rev. E, 2002, 66: 056126

Braunstein A., Mézard M., and Zecchina R., Random Struct. Algorith., 2005, 27: 201–226

Weigt M. and Zhou H., Phys. Rev. E, 2006, 74: 046110

Zhou H., Phys. Rev. Lett., 2005, 94: 217203

Zhou H., New J. Phys., 2005, 7: 123

Montanari A. and Rizzo T., J. Stat. Mech.: Theo. Exp., 2005: P10011

Parisi G. and Slanina F., J. Stat. Mech.: Theo. Exp., 2006: L02003

Chertkov M. and Chernyak V.Y., Phys. Rev. E, 2006 73: 065102(R)

Chertkov M. and Chernyak V.Y., J. Stat. Mech.: Theor. Exp., 2006: P06009

Viana L. and Bray A.J., J. Phys. C: Solid State Phys., 1985, 18: 3037–3051

Kirkpatrick S., Gelatt Jr., C. D., and Vecchi M.P., Science, 1983, 220: 671–680

Kanter I. and Sompolinsky H., Phys. Rev. Lett., 1987, 58: 164–167

Monasson R., J. Phys. A: Math. Gen., 1998, 31: 513–529

Bollobás B., Random Graphs, Academic Press, Landon, 1985

Newman M. E. J. and Barkema G. T., Monte Carlo Methods in Statistical Physics. Oxford University Press, New York, 1999

Montanari A., Parisi G., and Ricci-Tersenghi F., J. Phys. A: Math. Gen., 2004, 37: 2073–2091

Zhou H. and Ou-Yang Z. C., e-print: cond-mat/0309348, 2003

Zdeborová L. and Mézard M., J. Stat. Mech.: Theo. Exp., 2006: P05003