A schematic fluid-fluid phase diagram for a polydisperse fluid, showing temperature against density; the cloud curve gives the parent density where phase separation first occurs while the shadow curve records the density of the incipient coexisting phases. Note, however, that the shadow phase density distribution lies off the dilution line.
Schulz distribution for the case [cf. Eq. (4)].
Cloud and shadow curves in the plane. (a) MC simulation results. (b) MFE predictions. Lines are a guide to the eye.
Cloud and shadow curves in the plane. (a) MC results. (b) MFE predictions. Lines are a guide to the eye.
(a) MC results for the number densities of the coexisting vapor and liquid phases as a function of at , for . The inset expands the near-critical region and shows data for a number of system sizes (expressed in units of ), as indicated. (b) MFE predictions.
(a) MC results for the volume fraction of the coexisting vapor and liquid phases as a function of at , for . The inset expands the near-critical region and shows data for a number of system sizes. (b) MFE predictions.
Dimensionless surface tension for three isotherms at , , and and size cutoff ; the inset shows the same data on a logarithmic scale to emphasize the behavior near the respective liquid (high density) cloud points.
MC results for the fractional volume of the liquid phase as a function of parent density across the coexistence region for three isotherms , , and and size cutoff . Inset: Same data on a logarithmic scale.
Liquid phase size distributions for a selection of values of spanning the coexistence region at . Data are shown for cutoff . (a) MC results. (b) MFE predictions; densities were chosen to be at the same relative positions across the coexistence region as for (a).
(a) Size distributions in the liquid shadow phase at for , 1.6, and 1.8, together with the parent distribution plotted for comparison. (b) MFE predictions, including the larger cutoff .
The variation of the gas cloud point density at as a function of , as obtained from MC simulations (squares) and MFE calculations (circles).
Plot of the fractional volume of the liquid phase vs parent density as predicted by the MFE theory at the critical temperature . Results are displayed for a selection of size cutoffs as shown.
Size distribution in the metastable liquid phase for cutoffs in the range from to . Also shown for comparison is the parent form .
Snapshot configuration of the quasimonodisperse metastable solid which coexists with the gas phase at for .
Schematic representation of a possible phase diagram for large size cutoffs . The letters indicate the nature of the phases (G: gas, L: liquid, S: solid).
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