scholarly journals Isotropic-nematic phase equilibria in the Onsager theory of hard rods with length polydispersity

2003 ◽  
Vol 67 (6) ◽  
Author(s):  
Alessandro Speranza ◽  
Peter Sollich
2013 ◽  
Vol 323 (1) ◽  
pp. 143-175 ◽  
Author(s):  
Margherita Disertori ◽  
Alessandro Giuliani
Keyword(s):  

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Remco Tuinier

A free energy expression is proposed that describes the isotropic-nematic binodal concentrations of hard rods. A simple analytical form for this free energy was yet only available using a Gaussian trial function for the orientation distribution function (ODF), leading, however, to a significant deviation of the predicted binodals. The new free energy proposed here is based upon a rationalized correction to the orientational and packing entropies when using the Gaussian ODF. In combination with Parsons-Lee theory or scaled particle theory, it enables describing the isotropic-nematic phase coexistence concentrations of rods accurately using the simple Gaussian ODF for a wide range of aspect ratios.


1999 ◽  
Vol 32 (7) ◽  
pp. 2256-2264 ◽  
Author(s):  
M. P. B. van Bruggen ◽  
J. K. G. Dhont ◽  
H. N. W. Lekkerkerker

Author(s):  
K. Slyusarenko ◽  
V. Reshetnyak ◽  
Yu. Reznikov

The Onsager theory of hard rod dispersion in a neutral solvent is extended to a case of two-component dispersion consisting of both non-magnetic and magnetic rods. It was found that the alignment of magneto-sensitive dispersion component by a magnetic field leads to the alignment of non-magnetic component in the dispersion and to an elimination of the isotropic phase. This effect is significant even at low relative concentrations of magnetic rods and leads to a magnetically induced anisotropy in a non-magnetic dispersion of rods mixed with the magnetic ones.


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