J. Phys. Soc. Jpn. 66, pp. 1962-1975 (1997) [14 Pages]
FULL PAPERS
High-Temperature Dynamics of Spin Glasses
- Full text:
- PDF (eReader) / PDF (Download) (1833 kB)
Received January 16, 1997
We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional ± J model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master equation using a high temperature expansion. We calculate the expectation values of physical quantities from the dynamical probability distribution function. The theoretical curves show satisfactory agreement with Monte Carlo simulation results in the appropriate temperature and time regions. A comparison is made with the results of a dynamics theory by Coolen, Laughton and Sherrington.
©1997 The Physical Society of Japan
KEYWORDS: dynamics, SK model, ±Jmodel, dynamical probability distribution function, high-temperature expansion, CLS theory
References
- 1 D.Sherrington and S.Kirkpatrick:Phys. Rev. Lett. 35 (1975) 1792. Crossref, Google Scholar
- 2 L. F.Cugliandolo and J.Kurchan:Phys. Rev. Lett. 71 (1993) 173. Crossref, Google Scholar
- 3 A. C. C.Coolen, S. N.Laughton and D.Sherrington:Phys. Rev. B 53 (1996) 8184. Crossref, Google Scholar
- 4 S. N.Laughton, A. C. C.Coolen and D.Sherrington:J. Phys. A 29 (1996) 763. Crossref, Google Scholar
- 5 H.Nishimori and M.Yamana:J. Phys. Soc. Jpn. 65 (1996) 3. Link, Google Scholar
- 6 H.Nishimori:Prog. Theor. Phys. 66 (1981) 1169. Crossref, Google Scholar
- 7 Y.Ozeki and H.Nishimori:J. Phys. Soc. Jpn. 56 (1987) 3265. Link, Google Scholar
- 8 M.Randeria, J. P.Sethna and R. G.Palmer:Phys. Rev. Lett. 54 (1985) 1321. Crossref, Google Scholar
- 9 M.Thomsen, M. F.Thorpe, T. C.Choy, D.Sherrington and H.-J.Sommers:Phys. Rev. B 33 (1986) 3. Google Scholar