B. I. Lev, A. G. Zagorodny
A model of phase transitions with coupling between the order parameter and its gradient is proposed. This nonlinear model is shown to be suitable for the description of phase transitions accompanied by the formation of spatially inhomogeneous distributions of the order parameter. Exact solutions of the proposed model are obtained for the special cases which can be related to the spinodal decomposition or cosmological scenario. Such solutions manifest crucial dependence on the coupling constant.
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http://arxiv.org/abs/1211.4082
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