title: Entropy constraints on convergence in the infinite-N Kuramoto model.
abstract: We clarify the degree to which the entropy functional puts constraints on the possibility of convergence of states in the infinite-N Kuramoto model. It is shown that convergence to the uniform incoherent state is impossible in the L2 norm but it is left as an open question whether the same can be said about convergence in the L1 norm. We conclude with a discussion on the entropy of the marginal density function where similar constraints do not apply.
authors.affiliation: Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.
authors.forename: Anders
authors.initials: A
authors.lastname: Nordenfelt