Phase behavior in the plane. Top: Closed (open) diamonds represent coexisting densities obtained upon compression (expansion). Dashed lines are the scaling-law approximations used to determine the G-L critical points (squares). The solid line is the scaling relation explained in the text. Bottom: Here ; the result is shown as a reference. , , and denote isotropic (crosses and pluses), nematic (circles), and hexagonal (squares) orderings, respectively. Closed (open) symbols and crosses (pulses) correspond to compression (expansion). Solid lines are approximate phase boundaries.
Top: Scaled G-L critical temperature versus; middle: scaled G-L critical density versus. Closed and open symbols do have the same meaning as in the previous figure. The dashed lines are the power law predictions of Eq. (5) with ; bottom: the above simulation data plotted in reduced form via and including corresponding theoretical curves (solid lines).
Snapshot taken during a Monte Carlo simulation with 216 particles at and using .
Orientation average versus for different scaled temperatures (circles: ; squares: ; diamonds: ) and . The solid (dashed) line corresponds to the approximation .
Average cluster size versus for . Diamonds: ; squares: ; circles: ; triangles: . Solid lines are fitted to the respective data sets using Eq. (9) as explained in the text. Inset: versus according to the solid line fits in the main figure. Here the solid line is a second order polynomial fit.
Top: Snapshot taken during a molecular dynamics simulation of 2048 Stockmayer particles with (in LJ units) at and . Cones indicate the dipole orientation. Bottom: Analogous snapshot for the present system with 2197 particles at and using .
Top: Isotropic phase boundary in the plane taken from Fig. 2 in Ref. 20. Bottom: Corresponding isotropic phase boundary obtained via Eq. (9) with . The solid line is a linear fit to the symbols.
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