Time profile of temperature rise in assemblies of nanomagnets

We compute the heat generated by (non-interacting) nanomagnets subjected to an alternating magnetic field (AMF) and study its transfer hosting medium environment. For first task, we (or specific absorption rate S) using ac susceptibility in linear regime. second loss of environment is modeled with help a balance (macroscopic) equation based on Newton’s law cooling. This solved both numerically analytically for generic ferrofluid analytical solution renders very good approximation general equation. Then, investigate effects AMF frequency amplitude temperature elevation during temporal evolution. Finally, available experimental data maghemite magnetite ferrofluids, discuss behavior coefficient terms frequency. These results could trigger investigations this which characterizes heating ferrofluid, aim build more refined models mechanisms generation diffusion ferrofluids used hyperthermia.