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Chapter
Entropy in other situations
As the chart in the front of the book shows, we have now completed our elementary study of the thermal equilibrium properties of ideal solids and gases. However, it would be a pity to stop here, since statisti...
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Chapter
Fermi-Dirac gases
We return now to the main stream of the book, and to the basic statistical properties of ideal gases as introduced in Chapter 5. Of the three types of statistics we have so far discussed only the classical lim...
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Chapter
Two new ideas
In this final chapter we shall explore briefly two concepts which indicate that statistical physics is not such a restrictive subject as might at first appear. The second gives clear pointers as to how we can ...
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Chapter
Basic ideas
There is an obvious problem about getting to grips with an understanding of matter in thermal equilibrium. Let us suppose you are interested (as a designer of saucepans?) in the thermal capacity of copper at 4...
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Chapter
Two examples
We now apply the general results of the previous chapter to two specific examples, chosen because they are easily soluble mathematically, whilst yet being of direct relevance to real physical systems. The firs...
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Chapter
Gases: The distributions
In this chapter the statistical method outlined in section 1.5 is used to derive the thermal equilibrium distribution for a gas. The results will be applied to a wide variety of physical situations in the next...
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Chapter
Diatomic gases
This chapter is a slight diversion, and could well be omitted at a first reading. However, the study of diatomic Maxwell-Boltzmann gases proves to be a rather interesting one. It will reinforce the ideas of en...
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Chapter
Phase transitions
Changes of phase are of great interest, not least because of their surprise value. In this chapter we examine how statistical physics can be used to help our understanding of some phase transitions.
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Chapter
Bose-Einstein gases
This chapter discusses the properties of an ideal Bose-Einstein (BE) gas, which without any interactions nevertheless shows a remarkable phase transition, the ‘Bose-Einstein condensation’. This property is rel...
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Chapter
Distinguishable particles
The next step is to apply the statistical method outlined in Chapter 1 to realistic thermodynamic systems. This means addressing the properties of an assembly which consists of a large number N of weakly interact...
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Chapter
Gases: The density of states
In the last two chapters we have applied the statistical method as outlined in section 1.5 to an assembly of distinguishable (localized) particles. We now embark upon the application of the same method to gase...
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Chapter
Maxwell-Boltzmann gases
As a first application of the groundwork of the two previous chapters, we consider the simplest situation. This is a gas for which the Maxwell-Boltzmann (dilute) limit is valid. Furthermore we shall consider o...
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Chapter
Laminar Intermediate State in Superconducting In and Sn
We are making measurements of the transport properties in the laminar intermediate state of superconducting indium and tin using a SQUID picovoltmeter arrangement which incorporates a simple low-pass filter. U...
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Chapter
Homovalent Noble Metal Alloys
Measurements on dilute homovalent alloys of noble metals show that the magnitudes of the thermopowers at low temperatures can differ markedly from the alloy contributions extracted from room temperature measur...
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Chapter
Thermoelectric Flux Generation in Superconducting Loops
Several pitfalls are discussed concerning experiments designed to detect thermoelectric generation of flux in a bimetallic superconducting loop. In particular, thermally-induced changes in the superconducting ...
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Chapter
Pure Noble Metals
It is suggested that the main features of the observed temperature-dependence of S at temperatures below 15 K in Cu, Ag and Au should be interpreted as a change in the dominant electron scattering mechanism. T...