RT Journal Article
T1 Effective-liquid approach to the generalized Onsager theories of the isotropic-nematic transition of hard convex-bodies
A1 Cuesta, J. A.
A1 Fernández Tejero, Carlos
A1 Xu, H.
A1 Baus, Marc
AB Recent attempts to generalize the classical Onsager theory of nematic ordering to finite-density systems of finite-length hard convex bodies are related and compared. It is pointed out that, although good results can be obtained in three-dimensions (3D), in two dimensions (2D) the underlying factorization approximation of the radial and angular variables always implies a second-order isotropic-nematic transition instead of the crossover from a weakly first-order transition to a continuous (Kosterlitz-Thouless) transition as seen in the simulations. The quantitative agreement with the simulations is also much poorer in 2D than in 3D. On the contrary, for large spatial dimensions these theories become exact.
PB American Physical Society
SN 1050-2947
YR 1991
FD 1991-10-15
LK https://hdl.handle.net/20.500.14352/58894
UL https://hdl.handle.net/20.500.14352/58894
LA eng
NO © 1991 The American Physical Society. This work has been partially supported by a grant from the Dirección General de Investigación Científica y Técnica (Spain) under Grant No. PB88-0140. One of us (M.B.) acknowledges the financial support of the Fonds National de la Recherche Scientifique and also from the Association Euratom-Etat Belge. Hong Xu acknowledges the financial support of the Stichting voor Fundamenteel Onderzoek der Materie (FOM) of the Netherlands.
NO Dirección General de Investigación Científica y Técnica (Spain)
NO Fonds National de la Recherche Scientifique
NO Association Euratom-Etat Belge
NO Stichting voor Fundamenteel Onderzoek der Materie (Netherlands)
DS Docta Complutense
RD 5 abr 2025