Broad-histogram relation

One particular case of Eq. (A 12) has attracted considerable attention. If one sets M = E and considers the infinite temperature limit, the probabilities of the macrostates ) and Ej can be replaced by the associated values of the density-of-states function G(Ej) and G(Ej). The resulting equation has been christened the broad-histogram relation [128] it forms the core of extensive studies of transition probability methods referred to variously as flat histogram [129] and transition matrix [130]. Applications of these formulations seem to have been restricted to the situation where the energy is the macrovariable, and the energy spectmm is discrete. 

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