Many-body correlations from integral geometry

Joshua F. Robinson, Francesco Turci, Roland Roth, C. Patrick Royall

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
140 Downloads (Pure)


In a recent letter we presented a framework for predicting the concentrations of many-particle local structures inside the bulk liquid as a route to assessing changes in the liquid approaching dynamical arrest. Central to this framework was the morphometric approach, a synthesis of integral geometry and liquid state theory, which has traditionally been derived from fundamental measure theory. We present the morphometric approach in a new context as a generalisation of scaled particle theory, and derive several morphometric theories for hard spheres of fundamental and practical interest. Our central result is a new theory which is particularly suited to the treatment of many-body correlation functions in the hard sphere liquid, which we demonstrate by numerical tests against simulation.
Original languageEnglish
Article number062126
Number of pages9
JournalPhysical Review E
Issue number6
Publication statusPublished - 20 Dec 2019


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