Geodesic
Entropy Production by Simplified Dynamics in Spin Glass Systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 288-308 
D. B. Saakyan. Entropy Production by Simplified Dynamics in Spin Glass Systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 288-308. http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a9/
@article{TMF_2001_128_2_a9,
     author = {D. B. Saakyan},
     title = {Entropy {Production} by {Simplified} {Dynamics} in {Spin} {Glass} {Systems}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {288--308},
     year = {2001},
     volume = {128},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We reject the extremum condition with respect to one of the order parameters in spin glass models. Given the partition function, we derive the effective Hamiltonian and the corresponding energy for this order parameter. System relaxation occurs because of energy exchange between degrees of freedom related to a slow order parameter and the rest of the system. Already at this level without specifying the time dynamics and using only static solutions, we can find the points of glass confinement in the phase space. We propose a simplified phenomenological dynamics, which admits the standard (static) solution at the equilibrium state.

[1] K. Binder, A. P. Young, Rev. Mod. Phys., 58 (1986), 801 | DOI | MR

[2] M. Mezard, G. Parisi, M. A. Virasoro, Spin-glass Theory and Beyond, World Scientific, Singapore, 1986 | MR

[3] H. K. Janssen, Z. Phys. B, 26 (1977), 187 | DOI

[4] C. De Dominicis, L. Peliti, Phys. Rev. Lett., 38 (1977), 505 | DOI

[5] A. Crisanti, H. Horner, H.-J. Sommers, Z. Phys. B, 92 (1993), 257 | DOI | MR

[6] B. Derrida, Phys. Rev. Lett., 45 (1980), 79 | DOI | MR

[7] D. J. Gross, M. Mezard, Nucl. Phys. B, 240 (1984), 431 | DOI | MR

[8] A. Crisanti, H. J. Sommers, Z. Phys. B, 87 (1992), 341 | DOI

[9] V. Dotsenko, M. Mezard, S. Franz, J. Phys. A, 27 (1994), 2351 | DOI | Zbl

[10] A. C. C. Coolen, R. W. Penney, D. Sherrington, J. Phys. A, 26 (1993), 3681 | DOI | MR

[11] A. E. Allahverdyan, T. Nieuwenhuizen, D. B. Saakian, Europhys. Lett. (to appear)

[12] T. Nieuwenhuisen, Phys. Rev. Lett., 79 (1997), 1317 | DOI

[13] A. Kiselev, Supersymmetry approach in the field theory of ergodicity breaking transitions, E-print cond-mat/9909387