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Screening in Ionic Systems: Simulations for the Lebowitz Length | | Young C. Kim
; Erik Luijten
; Michael E. Fisher
; | | Date: |
14 Jul 2005 | | Subject: | Soft Condensed Matter | cond-mat.soft | | Abstract: | Simulations of the Lebowitz length, $xi_{ ext{L}}(T,
ho)$, are reported for t he restricted primitive model hard-core (diameter $a$) 1:1 electrolyte for densi ties $
holesssim 4
ho_c$ and $T_c lesssim T lesssim 40T_c$. Finite-size eff ects are elucidated for the charge fluctuations in various subdomains that serve to evaluate $xi_{ ext{L}}$. On extrapolation to the bulk limit for $Tgtrsim 10T_c$ the low-density expansions (Bekiranov and Fisher, 1998) are seen to fail badly when $
ho > {1/10}
ho_c$ (with $
ho_c a^3 simeq 0.08$). At highe r densities $xi_{ ext{L}}$ rises above the Debye length, $xi_{ ext{D}} prop to sqrt{T/
ho}$, by 10-30% (upto $
hosimeq 1.3
ho_c$); the variation is portrayed fairly well by generalized Debye-Hückel theory (Lee and Fisher, 19 96). On approaching criticality at fixed $
ho$ or fixed $T$, $xi_{ ext{L}}(T,
ho)$ remains finite with $xi_{ ext{L}}^c simeq 0.30 a simeq 1.3 xi_{ ext {D}}^c$ but displays a weak entropy-like singularity. | | Source: | arXiv, cond-mat/0507331 | | Other source: | [GID 786835] pmid16241668 | | Services: | Forum | Review | PDF | Favorites | |
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