Existence of Pair Potential Corresponding to Specified Density and Pair Correlation

The Existence of Pair Potential Corresponding to Specified Density and Pair Correlation

Given a potential of pair interaction and a value of activity, one can consider the Gibbs distribution in a finite domain Λ ⊂ Z. It is well known that for small values of activity there exist the infinite volume (Λ → Z) limiting Gibbs distribution and the infinite volume correlation functions. In this paper we consider the converse problem we show that given ρ1 and ρ2(x), where ρ1 is a constant...

Existence of Spontaneous Pair Creation

Pair and its Physiological Practice

سیستم ارتباطی جنین و مادر به هنگام حاملگی از دو بازو تشکیل شده است. اولین بازو، بازوی جفتی است (Placental arm) که نقش فیزیولوژیکی نظیر تغذیه و فعالیتهای آندوکرینی را ایفاء می نماید و اجزای تشریحی آن عبارت است از خون جنین، جفت و خون مادر. دومین بازو، بازوی پاراکرینی (Paracrin-arm) است که از مهم ترین وظایف آن می توان حفظ و بقای حاملگی، قبول پیوندهای نیم آلوژنیک جنین، حفاظت جسمی جنین و امر زایمان ...

System-adapted correlation energy density functionals from effective pair interactions

This article discusses some ideas concerning an ‘average-pair-density functional theory’, in which the ground-state energy of a many-electron system is rewritten as a functional of the spherically and system-averaged pair density. These ideas are further clarified with simple physical examples. Then it is shown that the proposed formalism can be combined with density functional theory to build ...

N - body simulations using customised potential - density pair basis sets

Potential-density pair basis sets can be used for highly efficient N-body simulation codes, but they suffer from a lack of versatility, i.e. a basis set has to be constructed for each different class of stellar system. We present numerical techniques for generating a biorthonormal potential-density pair basis set which has a general specified pair as its lowest order member. We go on to demonst...