Dynamic fluctuations effects in soap films
Kats E.I., Lebedev V.V., Muratov A.R.
Dynamic fluctuation phenomena in free standing soap films are investigated. It Is shown that the squeezing mode (where the water is pumped back and forth) induces divergent at the intermediate scales contributions to kinetic coefficients (viscosity and diffusion), leading to anomalous scaling behavior of the coefficients. The corresponding exponents are calculated using RG-methods in the one-loop approximation. They are Ó/19 and ϊ8«/ί 9, where €"4— d and d is the dimensionality of the space (the physical value being d * 2). The role of bending fluctuations is ÙÌÏ discÛRed,
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![](/ps/296/article_4788_800_head.png "Dynamic fluctuation phenomena in free standing soap films are investigated. It <i>Is </i>shown that the squeezing mode (where the water is pumped back and forth) induces divergent at the intermediate scales contributions to kinetic coefficients (viscosity and diffusion), leading to anomalous scaling behavior of the coefficients. The corresponding exponents are calculated using RG-methods in the one-loop approximation. They are Ó/19 and ϊ8«/ί 9, where €"4— <i>d </i>and d is the dimensionality of the space (the physical value being <i>d </i>* 2). The role of bending fluctuations is <i>ÙÌÏ </i>discÛRed,")