Non-Equilibrium Statistical Mechanics by Prigogine Ilya;

Author:Prigogine, Ilya;
Language: eng
Format: epub, pdf
Publisher: Dover Publications
Published: 2016-03-06T16:00:00+00:00

Fig. 7.7.1 Examples of diagrams.

These rules may be extended to the combination of diagrams obtained by iteration. The asymptotic order of magnitude of a diagram δ containing n vertices of indices T1, T2, T3, . . ., Tn and a total number R of distinct roman letters is given by

For example in Fig. 7.7.1 the order of magnitude of each of the diagrams (a) through (d) is, respectively

The order of diagram (a) of Fig. 7.7.1 is of course in agreement with our result (4.2.3). Similarly (d) coincides with (6.5.5).

There is, however, one case to which the rule (7.7.5) cannot be applied because the putting “together” of two diagrams introduces a supplementary restriction.

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