Statistical and Low Temperature Physics - University of Liverpool

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9. The magnetic refrigerator Statistical Physics 1 Oct - Dec 2009
Sections The magnetic refrigerator 9.1 The Principle of Magnetic Cooling 9.2 Thermodynamics of Magnetic Cooling 9.3 Non-interacting Magnetic Dipoles 9.4 Magnetic disorder entropy 9.5 Magnetic Refrigerators 9.6 Nuclear Refrigeration 9.7 Exercises Statistical Physics 2 Oct - Dec 2009
Page 1: Statistical and Low Temperature Phy
Page 5 and 6: 9.1 The Principle of Magnetic Cooli
Page 7 and 8: The Principle of Magnetic Cooling T
Page 9 and 10: The Principle of Magnetic Cooling A
Page 11 and 12: The Principle of Magnetic Cooling N
Page 13 and 14: The Principle of Magnetic Cooling P
Page 15 and 16: How does it work? We have seen how
Page 17 and 18: An adiabatic, constant entropy chan
Page 19 and 20: 9.2 Thermodynamics of Magnetic Cool
Page 21 and 22: Thermodynamics of Magnetic Cooling
Page 25 and 26: The new temperature is Thermodynami
Page 31 and 32: Interaction between magnetic dipole
Page 33 and 34: Interaction between magnetic dipole
Page 35 and 36: Magnetic disorder entropy Previousl
Page 37 and 38: Magnetic disorder entropy Substitut
Page 39 and 40: Magnetic disorder entropy The expan
Page 41 and 42: Magnetic Refrigerators The performa
Page 43 and 44: Magnetic Refrigerators The follow g
Page 45 and 46: Magnetic Refrigerators These are ex
Page 47 and 48: 9.6 Nuclear Refrigeration Statistic
Page 49 and 50: Nuclear Refrigeration To get some i
Page 51 and 52: Nuclear Refrigeration From the entr
Page 53 and 54:
Nuclear Refrigeration Because the s
Page 55 and 56:
Nuclear Refrigeration One disadvant
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Nuclear Refrigeration The copper bl
Page 59 and 60:
Nuclear Refrigeration The copper bl
Page 61 and 62:
Nuclear Refrigeration The small nuc
Page 63 and 64:
From the entropy formula, Nuclear R
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Nuclear Refrigeration To see how we
Page 67 and 68:
Nuclear Refrigeration The other way
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Nuclear Refrigeration Note that usi
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Nuclear Refrigeration (a) The nucle
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Nuclear Refrigeration Notice from t
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9.7 Exercises Statistical Physics 7
Page 77 and 78:
Define Exercises x = µ BB k BT . R
Page 79 and 80:
Exercise 2 Exercises CMN is a spin-
Page 81 and 82:
Exercises where C is the heat capac
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Exercises The entropy change refers
Page 85 and 86:
Exercises A spin 1/2 salt would hav
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Exercise 4 Exercises At which nucle
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Exercise 5 Exercises How long would
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Exercises We also need to assume th
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n = 20, B = 8 T, Ti = 0.015 K and n
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then Exercises nλnB 2 ∆Q = T ∆
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Statistical and Low Temperature Physics - University of Liverpool

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