Acoustic Phonon Umklapp Scattering & Thermal Resistance

Normal (N) processes conserve crystal momentum: k₁+k₂=k₃. Umklapp (U) processes involve a reciprocal lattice vector G: k₁+k₂=k₃+G — this flips phonon momentum, creating thermal resistance. Above Debye temperature θ_D, U-processes dominate and κ ∝ 1/T.

κ_thermal: — | U-rate: — | N-rate: —