- Full text:
- PDF (889 kB)
We propose an efficient Monte Carlo algorithm for simulating a “hardly-relaxing” system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replicas is introduced. This exchange process is expected to let the system at low temperatures escape from a local minimum. By using this algorithm the three-dimensional ± J Ising spin glass model is studied. The ergodicity time in this method is found much smaller than that of the multi-canonical method. In particular the time correlation function almost follows an exponential decay whose relaxation time is comparable to the ergodicity time at low temperatures. It suggests that the system relaxes very rapidly through the exchange process even in the low temperature phase.
References
- 1 R. H.Swendsen and J. S.Wang:Phys. Rev. Lett. 58 (1987) 86. Crossref, Google Scholar
- 2 U.Wolff:Phys. Rev. Lett. 62 (1989) 361. Crossref, Google Scholar
- 3 B. A.Berg and T.Neuhaus:Phys. Lett. B 267 (1991) 249. Crossref, Google Scholar
- 4 B. A.Berg and T.Neuhaus:Phys. Rev. Lett. 68 (1992) 9. Crossref, Google Scholar
- 5 E.Marinari and G.Parisi:Europhys. Lett. 19 (1992) 451. Crossref, Google Scholar
- 6 B. A.Berg and T.Celik:Phys. Rev. Lett. 69 (1992) 2292. Crossref, Google Scholar
- 7 B. A.Berg and T.Celik: Int. Jour. Mod. Phys. C 3 (1992) 1251. Crossref, Google Scholar
- 8 B. A.Berg, T.Celik and U.Hansmann: Europhys. Lett. 22 (1993) 63. Crossref, Google Scholar
- 9 B. A.Berg, U.Hansmann and T.Celik:Phys. Rev. B 50 (1994) 16444. Crossref, Google Scholar
- 10 W.Kerler and P.Rehberg:Phys. Rev. E 50 (1994) 4220. Crossref, Google Scholar
- 11 B.Coluzzi:J. Phys. A:Math. Gen. 28 (1995) 747. Crossref, Google Scholar
- 12 S.Edwards and P. W.Anderson:J. Phys. F 5 (1975) 965. Crossref, Google Scholar
- 13 A. T.Ogielski:Phys. Rev. B 32 (1985) 7384. Crossref, Google Scholar
- 14 R. N.Bhatt and A. P.Young:Phys. Rev. Lett. 54 (1985) 924. Crossref, Google Scholar
- 15 R.Zorn, H. J.Herrmann and C.Rebbi: Compt. Phys. Comm. 23 (1981) 337. Crossref, Google Scholar
- 16 M.Kikuchi and Y.Okabe:Prog. Theor. Phys. 74 (1985) 458. Crossref, Google Scholar
- 17 N.Ito and Y.Kanada: Supercomputer 25 (1988) 31. Google Scholar
- 18 R. N.Bhatt and A. P.Young:Phys. Rev. B 37 (1988) 5606. Crossref, Google Scholar
- 19 A. T.Ogielski and I.Morgenstern:Phys. Rev. Lett. 54 (1985) 928. Crossref, Google Scholar
- 20 K.Hukushima, K.Nemoto and H.Takayama: in preparation. Google Scholar