We give a statistical theory of shape fluctuations of droplets in emulsions. We have calculated the normalized mean-square displacement Δσ of shape fluctuations analytically in both two and three dimensions to first order in volume fraction φ. We also performed computer simulations to study fluctuations in two dimensions up to high area fractions. The results at low ${\mathrm{\phi }}_{\mathit{A}}$ are in excellent agreement with the analytical prediction. © 1996 The American Physical Society.

• Received 26 March 1996

DOI:https://doi.org/10.1103/PhysRevE.54.2780