We study a nonequilibrium mean field Ising model in the low temperature phase regime, where metastable equilibrium states develop a cuspidal (spinodal) singularity. We focus on celebrated Glauber dynamics, and design a contact Hamiltonian flow which captures some of its rough features in this regime. We prove, however, that there is an inevitable discrepancy between the scaling laws for the relaxation time in the Glauber and the contact Hamiltonian dynamical systems.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|State||Published - 24 Mar 2023|
- Glauber dynamics
- Ising model
- contact geometry
- cuspidal singularity
- relaxation process