Journal
PHYSICAL REVIEW LETTERS
Volume 86, Issue 11, Pages 2297-2300Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.86.2297
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We present new heat-conduction equations, named ballistic-diffusive equations, which are derived from the Boltzmann equation. We show that the new equations are a better approximation than the Fourier law and the Cattaneo equation for heat conduction at the scales when the device characteristic length, such as film thickness, is comparable to the heat-carrier mean free path and/or the characteristic time, such as laser-pulse width, is comparable td the heat-carrier relaxation time.
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