Publications

Relaxational dynamics of the infinite-ranged spin glass with n-component spins

The dynamic mean field theory of the spin glass phase is generalised to n-component spins. Exact averaged equations of motion are derived within a purely relaxational model. It is shown that dynamic stability enforces a violation of the fluctuation-dissipation theorem for any finite n and T<Tc. The marginally stable state is characterised by algebraic decay of correlations t- nu with an exponent which depends continuously on temperature and the number of components, nu (T,n)=1/2-3 mod T-Tc mod / pi n(n+2)+O( mod T-Tc mod 2)+O(1/n3).

Authors: Haim Sompolinsky; A Zippelius
Year of publication: 1982
Journal: Journal of Physics C 15, L 1059. (1982)

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Labs:

“Working memory”