The ideal polymer chain near planar hard wall beyond the Dirichlet boundary conditionsстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:We present a new ab initio approach to describe the statistical behavior of long ideal polymer chains near a plane hard wall. Forbidding the solid half-space to the polymer explicitly (by the use of Mayer functions) without any other requirement, we derive and solve an exact integral equation for the partition function G_D(r, r, N) of the ideal chain consisting of N bonds with the ends fixed at the points r and r. The expression for G(r, r, s) is found to be the sum of the commonly accepted Dirichlet result G_D(r, r, N) = G_0(r, r, N)−G_0(r, r, N), where r is the mirror image of r, and a correction. Even though the correction is small for long chains, it provides a non-zero value of the monomer density at the very wall for finite chains, which is consistent with the pressure balance through the depletion layer (so-called wall or contact theorem). A significant correction to the density profile (of magnitude 1/√N) is obtained
away from the wall within one coil radius. Implications of the presented approach for other polymer-colloid problems are discussed.