Correction to: Nature Communications https://doi.org/10.1038/s41467-021-24270-x, published online 2 July 2021. The original version of this Article contained an error in Equation 8. The second line of this equation omitted the multiplication factor 4 in the second term, and incorrectly read:. \frac{{\bar{\rho }}_{{{{{{\rm{F}}}}}}}(x)}{{\rho }_{{{{{{\rm{F}}}}}},{{{{{\rm{b}}}}}}}}=\left\{\begin{array}{ll}1+\varDelta {\rho }_{{{{{{\rm{F}}}}}}}\,(1-\frac{{x}^{2}}{{L}^{2}}) & {{{\rm{if}}}}\,{{{\rm{Pe}}}}\ll 1;\\ 1+\frac{\Delta...