The Electron Theory of Matter

Cover The Electron Theory of Matter
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Each particle is represented by one point, and if we know the density of such points at every part of the six-dimensional diagram we shall have a complete picture of the state of the gas. Now divide up the whole of the space so that the six-dimensional elements of volume dxdydzdpdqdr = do- are everywhere equal. We shall define the probability of a given distribution f as the number of ways in which the given distri- bution may be constructed by distributing the total number n of particles among... the different elements of volume. We shall consider the elements da- to be so small that the state of the particles which are defined by the limits of da is to be considered precisely the same for all of them. This would iutroduce a difficulty if we considered the diagram to represent an actual in- stantaneous state of the system. The difficulty can be overcome by considering it to represent a large number of successive states.
In the former case the number of particles in each element of volume is necessarily limited ; in the latter case it may be made as large as we please by contemplating a sufficiently large number of successive states.


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