Effects of elongation on the phase behavior of the Gay-Berne fluid

In this paper we present a computer simulation study of the phase behavior of the Gay-Berne liquid crystal model, concentrating on the effects of varying the molecular elongation κ. We study a range of length-to-width parameters 3<~κ<~4, using a variety of molecular dynamics and Monte Carlo techniques, obtaining a guide to the phase behavior for each shape studied. We observe vapor $(V),$ isotropic liquid $(I),$ nematic $(N),$ smectic-A (SA) and smectic-B (SB) liquid crystal phases. Within the small range of elongation studied, the phase diagram shows significant changes. On increasing κ, the liquid-vapor critical point moves to lower temperature until it falls below the I-SB coexistence line, around κ=3.4, where liquid-vapor coexistence proves hard to establish. The liquid-vapor critical point seems to be completely absent at κ=4.0. Another dramatic effect is the growth of a stable SA ``island'' in the phase diagram at elongations slightly above κ=3.0. The SA range extends to both higher and lower temperatures as κ is increased. Also as κ is increased, the I-N transition is seen to move to lower density (and pressure) at given temperature. The lowest temperature at which the nematic phase is stable does not vary dramatically with κ. On cooling, no SB-crystal transition can be identified in the equation of state for any of these elongations; we suggest that, on the basis of simulation evidence, SB and crystal are really the same phase for these models.