Phase transitions and symmetry breaking in singular diffusion

AUTOR(ES)

Denzler, Jochen

FONTE

National Academy of Sciences

RESUMO

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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