26 April 2018 Bubble statistics in aged wet foams and the Fokker-Planck equation
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Abstract
Results of the experimental study of changes in the bubble size statistics during aging of wet foams are discussed. It is proposed that the evolution of the bubble radii distributions can be described in terms of the one dimensional Fokker- Planck equation. The empirical distributions of the bubble radii exhibit a self-similarity of their shapes and can be transformed to a time-independent form using the radius renormalization. Analysis of obtained data allows us to suggest that the drift term of the Fokker-Planck equation dominates in comparison with the diffusion term in the case of aging of isolated quasi-stable wet foams.
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D. A. Zimnyakov, S. A. Yuvchenko, D. V. Tzyipin, T. V. Samorodina, "Bubble statistics in aged wet foams and the Fokker-Planck equation", Proc. SPIE 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV, 107171C (26 April 2018); doi: 10.1117/12.2309622; https://doi.org/10.1117/12.2309622
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