- Title Pages
- Dedication
- Acknowledgements
- 1 How to use this book(†)
- 2 Introducing thermodynamics
- 3 A survey of thermodynamic ideas
- 4 Some general knowledge
- 5 Mathematical tools
- 6 Zeroth law, equation of state
- 7 First Law, internal energy
- 8 The Second Law and entropy
- 9 Understanding entropy
- 10 Heat flow and thermal relaxation
- 11 Practical heat engines
- 12 Introducing chemical potential
- 13 Functions and methods
- 14 Elastic bands, rods, bubbles, magnets
- 15 Modelling real gases
- 16 Expansion and flow processes
- 17 Stability and free energy
- 18 Reinventing the subject
- 19 Thermal radiation
- 20 Radiative heat transfer
- 21 Chemical reactions
- 22 Phase change
- 23 The Third Law
- 24 Phase change, nucleation, and solutes
- 25 Continuous phase transitions
- 26 Self-gravitation and negative heat capacity
- 27 Fluctuations
- 28 Thermoelectricity and entropy flow
- A Electric and magnetic work
- B More on natural variables and free energy
- C Some mathematical results
- Bibliography
- Index

# Elastic bands, rods, bubbles, magnets

# Elastic bands, rods, bubbles, magnets

- Chapter:
- (p.188) 14 Elastic bands, rods, bubbles, magnets
- Source:
- Thermodynamics
- Author(s):
### Andrew M. Steane

- Publisher:
- Oxford University Press

The functions and methods developed in Chapter 13 are applied to a variety of physical systems. An elastic rod, surface tension, and paramagnetism are considered in turn. The latter is discussed at length, including cooling by adiabatic demagnetization, the ideal paramagnet, and the Curie–Weiss law. The formulae for electric and magnetic work on a dielectric or magnetic system are derived from first principles. A final section introduces the partition function and the statistical method.

*Keywords:*
Surface tension, paramagnetism, Curie–Weiss law, magnetic work, dielectric, partition function, statistical mechanics

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- Title Pages
- Dedication
- Acknowledgements
- 1 How to use this book(†)
- 2 Introducing thermodynamics
- 3 A survey of thermodynamic ideas
- 4 Some general knowledge
- 5 Mathematical tools
- 6 Zeroth law, equation of state
- 7 First Law, internal energy
- 8 The Second Law and entropy
- 9 Understanding entropy
- 10 Heat flow and thermal relaxation
- 11 Practical heat engines
- 12 Introducing chemical potential
- 13 Functions and methods
- 14 Elastic bands, rods, bubbles, magnets
- 15 Modelling real gases
- 16 Expansion and flow processes
- 17 Stability and free energy
- 18 Reinventing the subject
- 19 Thermal radiation
- 20 Radiative heat transfer
- 21 Chemical reactions
- 22 Phase change
- 23 The Third Law
- 24 Phase change, nucleation, and solutes
- 25 Continuous phase transitions
- 26 Self-gravitation and negative heat capacity
- 27 Fluctuations
- 28 Thermoelectricity and entropy flow
- A Electric and magnetic work
- B More on natural variables and free energy
- C Some mathematical results
- Bibliography
- Index