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Abstract
The classic Fourier heat diffusion theory, in general, does not apply to micro/nanoscale or ultrafast thermal processes, where the mean free path of the heat carriers is comparable to the system size and/or typical times are comparable to the carrier relaxation time. For these processes, the ballistic-diffusive equation is a good alternative. In this context, the smoothed particle hydrodynamics (SPH) method is further developed to solve the one-dimensional ballistic-diffusive equation, by using a boundary treatment technique based on the normalization property of the SPH smoothing kernel. The results indicate that the SPH is a reliable and accurate method capable of yielding correct temperature and heat flux representations in the ballistic-diffusive heat conduction regime.
Acknowledgments
The authors acknowledge support received from the Foundation for Science and Technology (FCT, Portugal) through research grant POCTI/EME/59728/2004, and a postdoctoral fellowship, SFRH/BPD/20273/2004 (FJ), and NSERC (Natural Sciences and Engineering Research Council of Canada) Discovery Grant 12875 (ACMS).