Mathematical Problems of Spin-Glass Systems in One-Dimension


  • Ashot S. Gevorkyan Institute for Informatics and Automation Problems of NAS RA




K. Binder and A. P. Young, Spin glasses: Experimental facts, theoretical concepts, and open questions. Rev. Mod. Physics, 58(4), 801-976 (1986).

M. Me’zard, G. Parisi, M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987)

A. P. Young (ed.), Spin Glasses and Random Fields (World Scientific, Singapore, 1998)

R. Fisch and A. B. Harris, Phys. Rev. Let., 47, 620 (1981). 25

C. Ancona-Torres, et al., Phys. Rev. Let., 101, 057201 (2008).

A. Bovier, Statistical Mechanics of Disordered Systems: A Mathematical Perspective, Cambridge Series in Statistical and Probabilistic Mathematics, p 308 (2006).

Y. Tu, J. Tersoff and G. Grinstein, Phys. Rev. Lett., 81, 4899 (1998).

K. V. R. Chary, G. Govil, NMR in Biological Systems: From Molecules to Human (Focus on Structural Biology 6), Springer, p. 511, (2008).

E. Baake, M. Baake and H. Wagner, Phys. Rev. Let., 78(3), 559-562 (1997.)

A. S. Gevorkyan et al., New Mathematical Conception and Computation Algorithm for Study of Quantum 3D Disordered Spin System Under the Influence of External Field, Trans. On Comput. Sci., VII, LNCS 132-153, Spinger-Verlage, 10.1007/978-3-642-11389-58

D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett., 35, 1972 (1975).

B. Derrida, Phys. Rev., B 26, 2613 (1981).

G. Parisi, Phys. Rev. Lett. 43, 1754 (1979).

A. J. Bray and M. A. Moore, Phys. Rev. Lett., 41, 1068 (1978).

J. P. Nolan, Stable Distributions: Models for Heavy Tailed Data (2009-02-21).

A. S. Gevorkyan, H. G. Abajyan and H. S. Sukiasyan, Ideal Ensemble of Disordered 1D Steric Spin-Chains in External Field, J. Computational Science (in press).




How to Cite

Gevorkyan, A. S. . (2021). Mathematical Problems of Spin-Glass Systems in One-Dimension. Mathematical Problems of Computer Science, 34, 23–25. Retrieved from

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