The Parisi‐Sompolinsky Solution for an Infinite‐Ranged Spin Glass Model with  m ‐Component Spins | Zendy

Goltsev A. V. | Zendy

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The Parisi‐Sompolinsky Solution for an Infinite‐Ranged Spin Glass Model with m ‐Component Spins

Author(s) -

Goltsev A. V.

Publication year - 1984

Publication title -

physica status solidi (b)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.51

H-Index - 109

eISSN - 1521-3951

pISSN - 0370-1972

DOI - 10.1002/pssb.2221260213

Subject(s) - spins , spin glass , component (thermodynamics) , magnetization , condensed matter physics , mathematical physics , physics , stability (learning theory) , spin (aerodynamics) , energy (signal processing) , statistical physics , mathematics , quantum mechanics , thermodynamics , magnetic field , computer science , machine learning

The Parisi‐Sompolinsky solution is considered for the m ‐component Sherrington‐Kirkpatrick model in the general case H > 0 and J 0 > 0. Self‐consistent equations are derived which determine the free energy, the magnetization, and the functions q(x) and Δ( x ). The stability problem is discussed.

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