UNIVERSAL SCALING FUNCTION FOR DOMAIN GROWTH IN THE GLAUBER-ISING CHAIN

The equal-time correlation function is calculated at T=0 for the one-dimensional Ising model with Glauber dynamics. Random initial conditions, appropriate to a sudden quench from non-zero temperature, are imposed. Averaging over initial conditions yields the scaling form C(r, t)=f(r2/t). The scaling function is given by f(x)= integral 01(dy/ pi )(y(1-y))-1/2 exp(-x/4y), and is universal, i.e. independent of the probability distribution for the initial conditions.