2010
DOI: 10.5488/cmp.13.23004
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Phase equilibria of size- and charge-asymmetric primitive models of ionic fluids: the method of collective variables

Abstract: We study the phase diagrams of z:1 size-asymmetric primitive models (PMs) using a theory that exploits the method of collective variables. Based on the explicit expression for the relevant chemical potential (conjugate to the order parameter) which includes the correlation effects up to the third order we consider some particular cases of asymmetric PMs (1:1, 2:1 and 3:1 systems). Coexistence curves and critical parameters are calculated as functions of size ratio λ = σ + /σ − . Similar to simulations, our the… Show more

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Cited by 3 publications
(3 citation statements)
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“…where ρ i = ρ + + ρ − is the total ionic number density. It should be noted that for the bulk PM our theory predicts a reduction of the coexistence regions as well as a decrease of the critical parameters T * c and ρ * i,c with an increase of size asymmetry [26,27]. This behavior qualitatively agrees with simulation results [14][15][16][17][18][19].…”
Section: Resultssupporting
confidence: 87%
See 1 more Smart Citation
“…where ρ i = ρ + + ρ − is the total ionic number density. It should be noted that for the bulk PM our theory predicts a reduction of the coexistence regions as well as a decrease of the critical parameters T * c and ρ * i,c with an increase of size asymmetry [26,27]. This behavior qualitatively agrees with simulation results [14][15][16][17][18][19].…”
Section: Resultssupporting
confidence: 87%
“…However, certain arbitrariness in determining the association constant is implied in these theories. On the other hand, the effect of asymmetry on the vapor-liquid phase diagram has been studied within the framework of the theory based on the method of collective variables (CVs) [24][25][26][27][28]. The theory allows one to take into account the effects of higher-order correlations between ions and, as a result, to obtain, on an analytical basis, the trends of the critical parameters with charge and size asymmetry that qualitatively agree with simulation findings.…”
Section: Introductionmentioning
confidence: 99%
“…The situation with theoretical estimates is less satisfactory, i.e. while the position of the critical point is predicted with reasonable accuracy the phase diagram is still too narrow in comparison with computer simulation phase diagrams [29,30,31,32,33,34].…”
Section: Introductionmentioning
confidence: 86%