https://doi.org/10.1140/epjb/s10051-025-01115-w
Research - Statistical and Nonlinear Physics
Multiple crossover in the decay of metastable volume fraction of a Blume–Capel ferromagnetic needle
Department of Physics, Presidency University, 86/1 College Street, 700073, Kolkata, India
a
muktish.physics@presiuniv.ac.in
Received:
3
October
2025
Accepted:
16
December
2025
Published online:
26
December
2025
The transient behaviours of a Blume–Capel ferromagnetic needle have been studied extensively by Monte-Carlo simulation. The needle has an elongated length in one direction compared to its cross-section. In the context of transient behaviour, we have captured the decay of the metastable state and the magnetic relaxation behaviours in our study. The dependence of metastable behaviour on anisotropy (single site) has been studied. Interestingly, we have observed multiple (different values ofnin different time domains) crossover in the decay of metastable volume fraction (obeying Avrami’s law
). We have identified the crossover time, and the values ofnare estimated precisely. The mean (magnetic) reversal time has been studied as a function of anisotropy. It is observed to be almost independent of anisotropy for its negative value; however, it is found to decrease exponentially with positive anisotropy. The exponential relaxation behaviour (in the corresponding paramagnetic phase) is observed. The relaxation time was found to depend on the strength of anisotropy.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
