Nonlinear Brownian dynamics of interfacial fluctuations in a shear flow

作者:Thiebaud Marine*; Amarouchene Yacine; Bickel Thomas
来源:Journal of Statistical Mechanics: Theory and Experiment , 2014, 2014(12): P12011.
DOI:10.1088/1742-5468/2014/12/P12011

摘要

Using Brownian dynamics simulations, we investigate the effect of an external flow on the fluctuations of a liquid-liquid interface for a wide range of shear rates. Although the statistics is Gaussian at low shear, we observe a transition to a nonlinear phenomenology above a critical shear rate. In particular, we show that statistical properties at high forcing share striking similarities with Burgers turbulence. An energy criterion allows us to predict the onset of non-Gaussian statistics. It also provides a simple explanation for the development of shock singularities through the exchange of kinetic energy from regions with positive to negative gradients in the shear direction.

  • 出版日期2014-12

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