{ "id": "2103.06580", "version": "v1", "published": "2021-03-11T10:16:24.000Z", "updated": "2021-03-11T10:16:24.000Z", "title": "Metastable behavior of the spin-$s$ Ising and Blume-Capel ferromagnets: A Monte Carlo study", "authors": [ "Moumita Naskar", "Muktish Acharyya", "Erol Vatansever", "Nikolaos G Fytas" ], "comment": "12 pages Latex (Text), 8 Captioned pdf figures and 3 tables", "categories": [ "cond-mat.stat-mech" ], "abstract": "We present an extensive Monte Carlo investigation of the metastable lifetime through the reversal of the magnetization of the spin-$s$ Ising and Blume-Capel models, where $s=\\{1/2, 1, 3/2,2,5/2,3,7/2\\}$. The mean metastable lifetime (or reversal time) is studied as a function of the applied magnetic field and for both models is found to obey the Becker-D{\\\"o}ring theory, as was initially developed for the case of the $s=1/2$ Ising ferromagnet within the classical nucleation theory. We have also studied the decay of the metastable volume fraction which nicely follows Avrami's law for all values of $s$ and for both models. For the case of the Blume-Capel model, the integral behavior of the mean metastable lifetime as function of the temperature ($T$) and single-ion anisotropy ($\\Delta$) shows a monotonic variation of the surface (reversal surface) in a three-dimensional plot. Interestingly, the reversal surface appears to be insensitive to the $T-\\Delta$ phase boundary of the ferromagnetic-paramagnetic transition of the Blume-Capel ferromagne", "revisions": [ { "version": "v1", "updated": "2021-03-11T10:16:24.000Z" } ], "analyses": { "keywords": [ "monte carlo study", "blume-capel ferromagnets", "metastable behavior", "mean metastable lifetime", "blume-capel model" ], "note": { "typesetting": "LaTeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }