Percus–Yevick-like integral equation for random sequential addition

Boyer, D.; Tarjus, G.; Viot, P.; Talbot, J.
July 1995
Journal of Chemical Physics;7/22/1995, Vol. 103 Issue 4, p1607
Academic Journal
Random sequential addition is a process that generates nonequilibrium configurations of hard objects. The corresponding spatial pair correlations are investigated via a Percus–Yevick (PY)-like integral equation. Numerical solutions are obtained in one, two, and three dimensions. Comparison with exact results in one dimension and with Monte Carlo data in higher dimensions shows that the PY-like integral equation provides an accurate description of the structure, except close to the jamming limit, where the logarithmic divergence of the correlation function at contact is not reproduced. Using diagrammatic expansions, we show that in one dimension, contrary to its equilibrium counterpart, this equation is only exact up to the second order in density. © 1995 American Institute of Physics.


Related Articles

  • A polymer in an ionic liquid: Effect of the length of the cationic nonpolar tail on the character of interchain correlations. Zherenkova, L.; Komarov, P.; Belov, A.; Pavlov, A. // Polymer Science -- Series A;Feb2012, Vol. 54 Issue 2, p147 

    On the basis of the integral equation theory, we examine spatial correlations of flexible polymer chains dissolved in an ionic liquid. The effect of the concentration of a polymer on its structural properties is studied for different lengths of the nonpolar tail of the solvent cation. The...

  • Analysis of three-dimensional structures in complex turbulent flows. Fomin, N. A. // Journal of Engineering Physics & Thermophysics;Jan2009, Vol. 82 Issue 1, p6 

    The basic integral relations used in analyzing various images of flows are given. The differences in the Abel transform for laminar and turbulent flows have been shown. The integral Uberoi–Kovasznay transform used in analyzing direct-shadow images of turbulent flows has been described....

  • A consistent integral equation theory for hard spheres. Bomont, Jean-Marc; Bretonnet, Jean-Louis // Journal of Chemical Physics;7/15/2004, Vol. 121 Issue 3, p1548 

    The standard integral equation approach is used to extract the bridge function and other correlation functions of hard spheres fluid. To achieve this, we first use a recent consistent closure relation proposed by Bomont et al. [J. Chem. Phys. 119, 2188 (2003)] that has already proven to be...

  • Local Residual Error Estimators for the Method of Moments Solution of Electromagnetic Integral Equations. Saeed, Usman; Peterson, Andrew F. // Applied Computational Electromagnetics Society Journal;May2011, Vol. 26 Issue 5, p403 

    Several methods for estimating the local (cell-by-cell) error associated with a method of moments solution of the electric field integral equation are investigated. Three different residual error estimators are used with a variety of prototype structures. The global error estimates show...

  • Probabilistic Analysis of a Two-Unit System with a Warm Standby and a Single Repair Facility. Srinivasan, S. K.; Gopalan, M. N. // Operations Research;May/Jun73, Vol. 21 Issue 3, p748 

    This paper deals with the availability and the reliability of a two-unit system with a warm standby and subject to a single repair facility. It assumes the failure times of the units to be exponentially distributed with parameters λ and λ1, respectively, initially, a unit is switched on...

  • Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D. Grzhibovskis, Richards; Mikhailov, Sergey; Rjasanow, Sergej // Computational Mechanics;Apr2013, Vol. 51 Issue 4, p495 

    A numerical implementation of the direct boundary-domain integral and integro-differential equations, BDIDEs for treatment of the Dirichlet problem for a scalar elliptic PDE with variable coefficient in a three-dimensional domain is discussed. The mesh-based discretisation of the BDIEs with...

  • TRANSIENT SOLUTION TO THE TIME-DEPENDENT MULTISERVER POISSON QUEUE. Margolius, B. H. // Journal of Applied Probability;Sep2005, Vol. 42 Issue 3, p766 

    We derive an integral equation for the transient probabilities and expected number in the queue for the multiserver queue with Poisson arrivals, exponential service for time- varying arrival and departure rates, and a time-varying number of servers. The method is a straightforward application of...

  • A Comparison of Strategies for Seismic Interferometry. Roel Snieder; Evert Slob; Kees Wapenaar // Surveys in Geophysics;Oct2009, Vol. 30 Issue 4/5, p503 

    Abstract  The extraction of the response from field fluctuations excited by random sources has received considerable attention in a variety of different fields. We present three methods for the extraction of the systems response that are based on cross-correlation, deconvolution, and the...

  • Model Study for Temperature Microchange by WSN Technology. Hsieh, Chin-Yuan // International Journal of Electrical & Computer Engineering (2088;Oct2012, Vol. 2 Issue 5, p632 

    The forest temperature microchange becomes critically important due to the study of global change. In this paper we develop a model to study the microchange of forest temperature by the wireless sensor network (WSN) technology. The model is developed by a pairs of modified integral equations....


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics