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1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...

1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...

1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...

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∂V <br />

∂T S<br />

∂V<br />

∂T<br />

<br />

p<br />

=<br />

− ∂S<br />

∂T | V<br />

∂S<br />

∂V | T<br />

V α<br />

= − CV<br />

T V α<br />

= − CV<br />

T V α<br />

1<br />

− ∂V<br />

<br />

<br />

∂T p<br />

∂S<br />

∂V<br />

∂V<br />

∂p<br />

1<br />

<br />

<br />

<br />

<br />

T<br />

T<br />

= − CV<br />

T V α<br />

= CV<br />

T V α<br />

¥ <br />

− CV κT CV<br />

= −<br />

T V α2 Cp − CV<br />

¨¤<br />

1<br />

<br />

<br />

∂p<br />

∂T <br />

V<br />

1<br />

V α (−V κT ) = − CV κT<br />

.<br />

T V α2 = 1<br />

1 − γ .<br />

<br />

<br />

¥<br />

M = f(H, T ),<br />

dU = T dS + µ0HdM,<br />

<br />

f ££<br />

H M<br />

M H M H £<br />

<br />

¥<br />

¥<br />

M ←→ V,<br />

µ0H ←→ −p.<br />

§<br />

<br />

<br />

<br />

CH<br />

T<br />

<br />

∂ (S, H) ∂ (S, H)<br />

= =<br />

∂ (T, H) ∂ (T, M)<br />

= CM<br />

T<br />

+ µ0<br />

<br />

∂H <br />

<br />

∂T<br />

M<br />

CH − CM = µ0T χT V<br />

χT = 1<br />

V<br />

∂ (T, M)<br />

∂ (T, H) =<br />

2 ∂M<br />

∂H<br />

<br />

<br />

<br />

T<br />

,<br />

<br />

∂S <br />

<br />

∂M<br />

∂H<br />

∂M<br />

∂H<br />

∂S<br />

∂T<br />

= µ0<br />

T<br />

<br />

<br />

∂T M<br />

∂H<br />

∂T<br />

<br />

<br />

<br />

T<br />

<br />

<br />

<br />

M<br />

∂H<br />

∂T<br />

.<br />

<br />

<br />

<br />

M<br />

<br />

<br />

<br />

M<br />

<br />

∂H <br />

<br />

∂M<br />

2<br />

,<br />

T<br />

− ∂S<br />

<br />

<br />

<br />

∂M<br />

T<br />

∂H<br />

∂T<br />

<br />

<br />

<br />

M<br />

∂M<br />

∂H<br />

<br />

¥ H χT > 0 χT < 0 <br />

<br />

<br />

<br />

T

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