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Magnetska svojstva materijala - > - grdelin

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Toplinska provodnost fonona<br />

Izraz se može preurediti (pretpostavljajući izotropnost):<br />

κ αβ<br />

ph<br />

= δ αβ<br />

{ 1<br />

3<br />

= δ αβ<br />

{ 1<br />

3<br />

∑<br />

∫<br />

λ<br />

∑<br />

∫<br />

λ<br />

≈ δ αβ<br />

1<br />

3 c ph v l ph<br />

d⃗q<br />

(<br />

(2π) 3<br />

što je izraz koji smo već prije izveli.<br />

∂f<br />

(0)<br />

ph<br />

)<br />

ω λ (⃗q)<br />

} {{ ∂T }<br />

=c λ (⃗q)<br />

d⃗q<br />

(2π) 3 c λ(⃗q) v λ (⃗q) l ph (⃗q)<br />

}<br />

v λ (⃗q) (v λ (⃗q) τ(⃗q))<br />

} {{ }<br />

=l ph (⃗q)<br />

}

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