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Advanced Statistical Mechanics$
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Barry M McCoy

Print publication date: 2009

Print ISBN-13: 9780199556632

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199556632.001.0001

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Mayer virial expansions and Groeneveld’s theorems

Mayer virial expansions and Groeneveld’s theorems

(p.149) 6 Mayer virial expansions and Groeneveld’s theorems
Advanced Statistical Mechanics

Barry M. McCoy

Oxford University Press

This chapter introduces the concept of the low density virial expansion of the equation of state, and derives the Mayer diagram theory for computing this expansion. Groeneveld's theorems for non-negative potentials and bounds on the radius of convergence of the virial expansion are proven.

Keywords:   virial expansion, Mayer diagrams, Groeneveld's theorems, convergence

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