APPLICATION OF THE STOCHASTIC MODE-REDUCTION STRATEGY AND A PRIORI PREDICTION OF SYMMETRY BREAKING IN STOCHASTIC SYSTEMS WITH UNDERLYING SYMMETRY

作者：Barlas N^*; Timofeyev I

来源：Communications in Mathematical Sciences, 2010, 8(2): 393-408.

• Stochastic modeling
• mode reduction
• symmetry breaking

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 without any knowledge of the statistical behavior of the fast modes.

• 出版日期2010-6