TY - JOUR
T1 - Time-dependent order parameters in spin-glasses
AU - Sompolinsky, H.
PY - 1981
Y1 - 1981
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0001227466&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.47.935
DO - 10.1103/PhysRevLett.47.935
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AN - SCOPUS:0001227466
SN - 0031-9007
VL - 47
SP - 935
EP - 938
JO - Physical Review Letters
JF - Physical Review Letters
IS - 13
ER -