Dynamical Probability Distribution Function of the SK Model at High Temperatures

作者: Hidetoshi Nishimori , Michiko Yamana

DOI: 10.1143/JPSJ.65.3

关键词:

摘要: The microscopic probability distribution function of the Sherrington-Kirkpatrick (SK) model spin glasses is calculated explicitly as a time by high-temperature expansion. resulting formula to third order inverse temperature shows that an assumption made Coolen, Laughton and Sherrington in their recent theory dynamics violated. Deviations from exact results are estimated quantitatively. Our also yields explicit expressions dependence various macroscopic physical quantities when suddenly changed within region.

参考文章(10)
Masatoshi Shiino, Hidetoshi Nishimori, Masaya Ono, Nonlinear Master Equation Approach to Asymmertrical Neural Networks of the Hopfield-Hemmen Type Journal of the Physical Society of Japan. ,vol. 58, pp. 763- 766 ,(1989) , 10.1143/JPSJ.58.763
A C C Coolen, D Sherrington, Order-parameter flow in the SK spin glass. I. Replica symmetry Journal of Physics A. ,vol. 27, pp. 7687- 7707 ,(1994) , 10.1088/0305-4470/27/23/013
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
T Ozeki, H Nishimori, Noise distributions in retrieval dynamics of the Hopfield model Journal of Physics A. ,vol. 27, pp. 7061- 7068 ,(1994) , 10.1088/0305-4470/27/21/020
A. C. C. Coolen, D. Sherrington, ORDER-PARAMETER FLOW IN THE FULLY CONNECTED HOPFIELD MODEL NEAR SATURATION Physical Review E. ,vol. 49, pp. 1921- 1934 ,(1994) , 10.1103/PHYSREVE.49.1921
U. Riedel, R. Kühn, J. L. van Hemmen, Temporal sequences and chaos in neural nets Physical Review A. ,vol. 38, pp. 1105- 1108 ,(1988) , 10.1103/PHYSREVA.38.1105
David Sherrington, Scott Kirkpatrick, Solvable Model of a Spin-Glass Physical Review Letters. ,vol. 35, pp. 1792- 1796 ,(1975) , 10.1103/PHYSREVLETT.35.1792
A. C. C. Coolen, D. Sherrington, Dynamics of fully connected attractor neural networks near saturation. Physical Review Letters. ,vol. 71, pp. 3886- 3889 ,(1993) , 10.1103/PHYSREVLETT.71.3886
A. C. C. Coolen, Th. W. Ruijgrok, Image evolution in Hopfield networks. Physical Review A. ,vol. 38, pp. 4253- 4255 ,(1988) , 10.1103/PHYSREVA.38.4253
J. J. Hopfield, Neural networks and physical systems with emergent collective computational abilities Proceedings of the National Academy of Sciences of the United States of America. ,vol. 79, pp. 2554- 2558 ,(1982) , 10.1073/PNAS.79.8.2554