@article{844a1b0f2bb14233ac623ce92dbd734b,
title = "Contact geometric approach to Glauber dynamics near a cusp and its limitation",
abstract = "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.",
keywords = "Glauber dynamics, Ising model, contact geometry, cuspidal singularity, relaxation process",
author = "Goto, {Shin Itiro} and Shai Lerer and Leonid Polterovich",
note = "Publisher Copyright: {\textcopyright} 2023 IOP Publishing Ltd.",
year = "2023",
month = mar,
day = "24",
doi = "10.1088/1751-8121/acbe81",
language = "אנגלית",
volume = "56",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "12",
}