LIQUID-STATE INTEGRAL-EQUATIONS AT HIGH-DENSITY - ON THE MATHEMATICAL ORIGIN OF INFINITE-RANGE OSCILLATORY SOLUTIONS

被引:43
作者
HENDERSON, JR
SABEUR, ZA
机构
[1] School of Chemistry, University of Leeds, Leeds
关键词
D O I
10.1063/1.463652
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Analytic asymptotic analysis and finite element numerical procedures are used to elucidate the mathematical reasons for the appearance of infinite-range oscillatory solutions to certain integral equation theories of wall-fluid interfacial structure and liquid state radial distribution functions. The results contribute to two issues of recent debate: (i) what physical significance (if any) can be attributed to the apparent "solidlike" structure that is often (but not always) seen in high density solutions to liquid state integral equation theories and (ii) is the same mathematical structure present in density functional theories (i.e., in the presence of a variational condition arising from a free energy functional)?
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页码:6750 / 6758
页数:9
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