Abstract
We have measured the heat capacity of $^{3}\mathrm{He}$ films on porous Vycor glass at 10\ensuremath{\le}T\ensuremath{\le}600 mK. As the coverage is increased from 1 to 3 atomic layers, the heat capacity evolves from that typical to solid to that of liquid $^{3}\mathrm{He}$, being weakly temperature dependent at thicknesses of about two layers. A model is proposed of a gradual ordering of spins in an amorphous $^{3}\mathrm{He}$ film, suggesting a broad uniform distribution of the logarithm of exchange parameters. It yields a constant heat capacity of about 13 \ensuremath{\mu}J/${\mathrm{Km}}^{2}$, which is close to the experimental results for $^{3}\mathrm{He}$ films on silver and Vycor. \textcopyright{} 1996 The American Physical Society.
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