The Bicomponent Ensemble

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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.

Original languageEnglish (US)
Title of host publicationUnderstanding Complex Systems
PublisherSpringer Verlag
Pages163-195
Number of pages33
DOIs
StatePublished - Jan 1 2018

Publication series

NameUnderstanding Complex Systems
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840

All Science Journal Classification (ASJC) codes

  • Software
  • Computational Mechanics
  • Artificial Intelligence

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  • Cite this

    Matsoukas, T. (2018). The Bicomponent Ensemble. In Understanding Complex Systems (pp. 163-195). (Understanding Complex Systems). Springer Verlag. https://doi.org/10.1007/978-3-030-04149-6_6