Universal scaling function for domain growth in the Glauber-Ising chain
- 1 January 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (2) , L67-L72
- https://doi.org/10.1088/0305-4470/23/2/005
Abstract
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.Keywords
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