Journal of Statistical Physics

, Volume 63, Issue 1–2, pp 167–202 | Cite as

Random sequential addition: A distribution function approach

  • Gilles Tarjus
  • Pierre Schaaf
  • Julian Talbot


Random sequential addition (RSA) of hard objects is an irreversible process defined by three rules: objects are introduced on a surface (or ad-dimensional volume) randomly and sequentially, two objects cannot overlap, and, once inserted, an object is clamped in its position. The configurations generated by an RSA can be characterized, in the macroscopic limit, by a unique set of distribution functions and a density. We show that these “nonequilibrium” RSA configurations can be described in a manner which, in many respects, parallels the usual statistical mechanical treatment of equilibrium configurations: Kirkwood-Salsburg-like hierarchies for the distribution functions, zero-separation theorems, diagrammatic expansions, and approximate equations for the pair distribution function. Approximate descriptions valid for low to intermediate densities can be combined with exact results already derived for higher densities close to the jamming limit of the process. Similarities and differences between the equilibrium and the RSAconfigurations are emphasized. Finally, the potential application of RSA processes to the study of glassy phases is discussed.

Key words

Random sequential addition hard-core particles distribution functions nonequilibrium configurations Kirkwood-Salsburg-like equation 


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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Gilles Tarjus
    • 1
  • Pierre Schaaf
    • 2
  • Julian Talbot
    • 3
  1. 1.Laboratoire de Physique Théorique des LiquidesUniversité Pierre et Marie CurieParis Cédex 05France
  2. 2.Institut Charles Sadron (CRM-EAHP)CNRS-ULPStrasbourg CédexFrance
  3. 3.School of Chemical EngineeringPurdué UniversityWest Lafayette

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