A model for thermomagnetic writing in a GdlG platelet held at its compensation temperature is developed and confirming experimental data are presented. It is postulated that magnetization reversal occurs by domain nucleation and expansion. The relationship between the applied field

, the final bit diameter

, and the absorbed energy

is shown to be
![H = K^{-1}[(D^{2}\\rho c\\omega )/(\\alpha P\\tau )][(1/2)E_{c}+ \\sigma _{\\omega }/D]](/images/tex/8230.gif)
where

is a normalization constant, ρ the density,

the specific heat, ω the sample thickness, α a constant relating the magnetization and the temperature, E
cthe domain-wall coercive pressure, and σ
ωis the wall energy per unit area. Domains with

are unstable and collapse when the sample returns to the compensation temperature. Measurements are reported of the dependence of

on

for several values of P
taufor a 13-μm thick platelet of aluminum doped GdIG. The quantitative agreement between theory and experiment is good. Observations of domain switching during the heat pulse application confirm all the major features of the model. The results show that in thick and low coercive force platelets, an excessive amount of power is required to write at moderate fields and the bit density is limited by the instability for

. Typical values are

mW,

s,

Oe, and

m. In thin and high coercive force films it should be possible to write 10-μm size bits with a field of < 100 Oe and a power level of 10 mW absorbed in 1 μs