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.
@article{1274816888,
author = {Barlas, N. and Timofeyev, I.},
title = {Application of the stochastic mode-reduction strategy and a priori prediction of symmetry
breaking in stochastic systems with underlying symmetry},
journal = {Commun. Math. Sci.},
volume = {8},
number = {1},
year = {2010},
pages = { 393-408},
language = {en},
url = {http://dml.mathdoc.fr/item/1274816888}
}
Barlas, N.; Timofeyev, I. Application of the stochastic mode-reduction strategy and a priori prediction of symmetry
breaking in stochastic systems with underlying symmetry. Commun. Math. Sci., Tome 8 (2010) no. 1, pp. 393-408. http://gdmltest.u-ga.fr/item/1274816888/