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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.