Time-dependent order parameters in spin-glasses

It is proposed that the spin-glass phase is described by two order parameters q(x)=[Si(0)Si(tx)]a v and χ(x)=0txχ(t) dt, that measure the relaxations of the average autocorrelation and susceptibility along macroscopic time scales, tx, which are parametrized in a decreasing order by x[0,1]. The function q decays from a finite value at t1 to zero at t0, while χ increases from χ(1) to a value χ(0) which is independent of temperature in the mean-field limit. The equilibrium results agree with Parisi's replica solution.