Numerical study of ground state energy fluctuations in spin glasses

作者: Claudio Giberti , Cecilia Vernia

DOI:

关键词:

摘要: Using a stochastic algorithm introduced in previous paper, we study the finite size volume corrections and fluctuations of ground state energy Sherrington-Kirkpatrick EdwardsAnderson models at zero temperature. The is based on suitable annealing procedure coupled with balanced greedy-reluctant strategy that drives systems towards deepest minimum function.

参考文章(29)
S. Kobe, Ground-state energy and frustration of the Sherrington-Kirkpatrick model and related models arXiv: Disordered Systems and Neural Networks. ,(2003)
G Parisi, F Ritort, F Slanina, Several results on the finite-size corrections in the Sherrington- Kirkpatrick spin-glass model Journal of Physics A. ,vol. 26, pp. 3775- 3789 ,(1993) , 10.1088/0305-4470/26/15/026
S F Edwards, P W Anderson, Theory of spin glasses Journal of Physics F: Metal Physics. ,vol. 5, pp. 965- 974 ,(1975) , 10.1088/0305-4608/5/5/017
M. Mezard, G. Parisi, M. A. Virasoro, David J. Thouless, Spin Glass Theory and Beyond ,(1986)
Jan Wehr, Michael Aizenman, Fluctuations of extensive functions of quenched random couplings Journal of Statistical Physics. ,vol. 60, pp. 287- 306 ,(1990) , 10.1007/BF01314921
Giorgio Parisi, Tommaso Rizzo, Large deviations in the free energy of mean-field spin glasses. Physical Review Letters. ,vol. 101, pp. 117205- 117209 ,(2008) , 10.1103/PHYSREVLETT.101.117205
A. Crisanti, G. Paladin, H.-J. Sommers A. Vulpiani, Replica trick and fluctuations in disordered systems Journal De Physique I. ,vol. 2, pp. 1325- 1332 ,(1992) , 10.1051/JP1:1992213
K. Binder, A. P. Young, Spin glasses: Experimental facts, theoretical concepts, and open questions Reviews of Modern Physics. ,vol. 58, pp. 801- 976 ,(1986) , 10.1103/REVMODPHYS.58.801
Gary S. Grest, C. M. Soukoulis, K. Levin, Cooling-rate dependence for the spin-glass ground-state energy: Implications for optimization by simulated annealing. Physical Review Letters. ,vol. 56, pp. 1148- 1151 ,(1986) , 10.1103/PHYSREVLETT.56.1148
S Cabasino, E Marinari, P Paolucci, G Parisi, Eigenstates and limit cycles in the SK model Journal of Physics A. ,vol. 21, pp. 4201- 4210 ,(1988) , 10.1088/0305-4470/21/22/021