  Self-organization of hydrogen bubbles generated by laser-treated areas of an
aluminum plate etched in a basic aqueous solution of ammonia is studied
experimentally and theoretically. A dynamics of establishment of stationary
pattern of gas bubbles is experimentally is shown. In the theoretical model the
velocity field of liquid flows around an ensemble of several bubbles is
obtained. Modeling of the process of self-organization of gas bubbles is
performed on the basis of continuum model of bubbles jet. Under certain
assumptions, the pressure of diluted gas bubbles is described by equation
similar to that for non-ideal gas that follows the van der Waals equation of
state. The model predicts an alignment of gas bubbles along bisectors of the
laser-treated area limited by a square, which is in good agreement with
experimental observations. Further development of the model leads to the
equation with negative diffusion coefficient that may be responsible for
symmetry breakdown and pattern formation.
