The profile for the diffuse interface separating two coexisting phases in a scalar ($n=1$) system is calculated to first order in ε=4-d. The lowest-order result is the renormalized Landau-Ginzburg expression. The O(ε) correction is small even at ε=1. A preliminary comparison with the experimental reflectivity measurements of Huang and Webb is made. Special difficulties involving the case $d<~3$ are discussed.
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Rudnick et al. (1978) studied this question.
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