Phase transitions and symmetry breaking in singular diffusion.
نویسندگان
چکیده
The long-time asymptotics are determined for fast nonlinear diffusion by linearizing Otto's gradient descent model at the Barenblatt profile. The spectrum of the entropy is explicitly determined. The dynamics are found to undergo a phase transition in which rotational symmetry is broken as the strength of the nonlinearity is varied.
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عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 100 12 شماره
صفحات -
تاریخ انتشار 2003