1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...
1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ... 1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...
∂V ∂T S ∂V ∂T p = − ∂S ∂T | V ∂S ∂V | T V α = − CV T V α = − CV T V α 1 − ∂V ∂T p ∂S ∂V ∂V ∂p 1 T T = − CV T V α = CV T V α ¥ − CV κT CV = − T V α2 Cp − CV ¨¤ 1 ∂p ∂T V 1 V α (−V κT ) = − CV κT . T V α2 = 1 1 − γ . ¥ M = f(H, T ), dU = T dS + µ0HdM, f ££ H M M H M H £ ¥ ¥ M ←→ V, µ0H ←→ −p. § CH T ∂ (S, H) ∂ (S, H) = = ∂ (T, H) ∂ (T, M) = CM T + µ0 ∂H ∂T M CH − CM = µ0T χT V χT = 1 V ∂ (T, M) ∂ (T, H) = 2 ∂M ∂H T , ∂S ∂M ∂H ∂M ∂H ∂S ∂T = µ0 T ∂T M ∂H ∂T T M ∂H ∂T . M M ∂H ∂M 2 , T − ∂S ∂M T ∂H ∂T M ∂M ∂H ¥ H χT > 0 χT < 0 T
§ ¥ M = C CH − CM χT = 1 V CH − CM = µ0T C T ∂H ∂T M CV H T , ∂M ∂H T = M CV . = C T . 2 M V C2 M = µ0 V 2 2 CV § M = V f H T ¥ U M T dU = T dS + µ0HdM ∂U = T ∂M ∂S ∂M T T + µ0H = −µ0 ∂ (H/T ) ∂T M = 1 T ∂H ∂T ∂H ∂T M M = µ0 = −µ0T − H T 2 CV H2 T 2 . 2 ∂ (H/T ) ∂T M = const. f(H/T ) = const H/T = const. ∂U ∂M § dH ¥ DQ = T dS = 0 0 = dS = ∂S ∂T ¥ H dT = − µ0T CH T dT + ∂S ∂H ∂M ∂T H T = 0. dH = CH T dH = µ0CV H CH ¥ CV H M = T H T + µ0 ∂M ∂T 1 T dH. H . M .
- Page 1 and 2: ¡£¢¥¤§¦©¨¦©¨¨¤ ¥¢¦
- Page 3 and 4: § £ £ p + an2 V 2 (V −
- Page 5 and 6: p 1 2 V1 ¥ izoterma T 2 adiabata
- Page 7 and 8: § − 1 ∂ V ∂V ∂T p ∂
- Page 9 and 10: § ∂T ∂p ¥ ¥ −SdT + V
- Page 11: Cp T ∂ (S, p) ∂ (S, p) ∂ (T,
- Page 15 and 16: ¨¤ § ¥§ ¥ r £ d n >
- Page 17 and 18: § θB sin θh = η = 1.28 s
- Page 19 and 20: ¥ r n λn = λ/n § ∆
- Page 21 and 22: ¥ 1 2π 2π e 0 −ix cos φ d
- Page 23 and 24: d n ′ nθ = nθ y ′ d y = y
- Page 25: TR1 = 1 0 1 , Td = 1 d n 0 1 ,
§<br />
¥<br />
M =<br />
C CH − CM<br />
<br />
<br />
<br />
<br />
χT = 1<br />
V<br />
CH − CM = µ0T C<br />
T<br />
∂H<br />
∂T<br />
<br />
<br />
<br />
M<br />
CV H<br />
T ,<br />
<br />
∂M<br />
∂H<br />
<br />
<br />
<br />
T<br />
= M<br />
CV .<br />
= C<br />
T .<br />
2 M<br />
V<br />
C2 M<br />
= µ0<br />
V 2 2<br />
CV<br />
§<br />
<br />
M = V f<br />
<br />
H<br />
T<br />
¥ <br />
U M T<br />
<br />
<br />
dU = T dS + µ0HdM <br />
<br />
∂U <br />
= T<br />
∂M<br />
∂S<br />
<br />
<br />
<br />
∂M<br />
<br />
T<br />
T<br />
+ µ0H = −µ0<br />
∂ (H/T )<br />
∂T<br />
<br />
<br />
<br />
M<br />
= 1<br />
T<br />
∂H<br />
∂T<br />
∂H<br />
∂T<br />
<br />
<br />
<br />
M<br />
<br />
<br />
<br />
M<br />
= µ0<br />
= −µ0T<br />
− H<br />
T 2<br />
CV H2 T 2 .<br />
2 ∂ (H/T )<br />
∂T<br />
<br />
M = const. f(H/T ) = const H/T = const.<br />
<br />
<br />
∂U <br />
<br />
∂M<br />
§<br />
<br />
dH<br />
<br />
<br />
<br />
¥ <br />
DQ = T dS = 0<br />
0 = dS = ∂S<br />
<br />
<br />
<br />
∂T<br />
¥<br />
H<br />
dT = − µ0T<br />
CH<br />
T<br />
dT + ∂S<br />
<br />
<br />
<br />
∂H<br />
∂M<br />
∂T<br />
<br />
<br />
<br />
H<br />
T<br />
= 0.<br />
dH = CH<br />
T<br />
dH = µ0CV H<br />
CH<br />
¥ CV H M = T<br />
H T <br />
+ µ0<br />
∂M<br />
∂T<br />
1<br />
T dH.<br />
<br />
<br />
<br />
H<br />
.<br />
<br />
<br />
<br />
M<br />
<br />
.
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