Simplified Onsager theory for isotropic-nematic phase equilibria of length polydisperse hard rods

Journal of Chemical Physics

Volumn 117, Issue 11, 2002, Pages 5421-5436

  Speranza, Alessandro ^a   Sollich, Peter ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DISPERSIONS; MIXTURES; PARTICLES (PARTICULATE MATTER); PHASE DIAGRAMS; PHASE EQUILIBRIA; PHASE TRANSITIONS; PROBABILITY DENSITY FUNCTION;

POLYDISPERSITY;

NEMATIC LIQUID CRYSTALS;

EID: 0037106528     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1499718     Document Type: Article

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49. 1 which we include guarantees that the lever rule is fulfilled.
50. 0 ≈ 3.5). This follows from the fact that at x = 0 the system becomes monodisperse, so that for x→0 the parent density at the cloud point has to be the same as for e.g., σ = 0 in the unimodal case. At similarly small x the N-N phase boundary meets the bottom-right corner of the three-phase triangle; this feature is present in our plot though only barely visible. For smaller x-values we have the normal unimodal type of phase behaviour, with an I-N coexistence region separating single-phase I and N regions. In this way the three-phase is surrounded by a I-N region on the left and at the bottom, and by a N-N region on the right as it should be.
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