A Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitions
A Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitions
We study the loss, recovery, and preservation of differentiability of time-dependent large deviation rate functions.This study is motivated by mean-field Gibbs-non-Gibbs transitions.The gradient of the rate-function evolves according to a Hamiltonian flow.This Hamiltonian flow is used to analyze the regularity of the time-dependent rate function, both for Glauber dynamics for …