Application of the stochastic mode-reduction strategy and a priori prediction of symmetry breaking in stochastic systems with underlying symmetry

N. Barlas, I. Timofeyev
2010 Communications in Mathematical Sciences  
We consider application of the stochastic mode-reduction strategy to a particular class of coupled models where a part of self-interactions of the slow variables is given by a rotationally invariant gradient system. The stochastic mode-reduction strategy is utilized to derive stochastic reduced models which yield a simple description of the phenomena resulting from breaking the original rotational symmetry. It is demonstrated that the direction of the symmetry breaking can be predicted a priori
more » ... without any knowledge of the statistical behavior of the fast modes.
doi:10.4310/cms.2010.v8.n2.a6 fatcat:nmvlph5xhzc5tos4homkpyfguy