Phase transitions and symmetry breaking in singular diffusion.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 12766227.
- Also identified by PMC identifier 165805.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
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.