The simplest cluster ensemble is formed by partitioning an extensive variable M, which we have called “mass,” into N clusters. In Chap. 3 we generalized this to the partitioning of a set of extensive variables, X 1 , X 2 , ⋯ into N clusters. X i may represent energy, volume, or any other extensive attribute that is distributed. A special case is when this attribute refers to a distinct species that we recognize as a component. A population that contains two or more components forms a mixture and its behavior is quite different from that of the generic multivariate ensemble. All extensive properties of a multicomponent population may be sub-partitioned with respect to components. In this chapter we formulate the bicomponent cluster ensemble, derive its thermodynamics, and study the mixing of components for certain classes of selection functionals.
CITATION STYLE
Matsoukas, T. (2018). The Bicomponent Ensemble. In Understanding Complex Systems (pp. 163–195). Springer Verlag. https://doi.org/10.1007/978-3-030-04149-6_6
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