%0 Book Section %1 statphys23_0752 %A Mishra, P. %A Singh, Y. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K correlation crystal density equation function functional integral liquid nematic pair statphys23 theory topic-1 %T Pair Correlation Functions in Nematics and the Density-Functional Theory of Freezing %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=752 %X The freezing of a fluid of anisotropic molecules into a nematic phase is a typical example of a first-order phase transition in which the continuous symmetry of the isotropic phase is broken.In a nematic phase molecules are aligned along a particular but arbitrary direction so as to have a long range order in orientation while translational degrees of freedom remain disordered as in the isotropic fluid.It is shown that in the nematic phase there are two qualitatively different contributions to pair correlation functions;one that preserves rotational invariance and the other that breaks it and vanishes in the isotropic phase.The symmetry preserving part of the pair correlation passes smoothly without any abrupt change through the isotropic-nematic transition.We describe a method of solving the Ornstein-Zernike equation with a closure relation to get both the symmetry conserving and symmetry breaking parts of pair correlation functions.Using these correlation functions we construct a free energy functional to study the freezing transition and other properties of the ordered phase.The theory predicts accurately the isotropic-nematic transition in a system of anisotropic molecules and can be extended to study other ordred phases such as smectics and crystalline solids.

@incollection{statphys23_0752, abstract = {The freezing of a fluid of anisotropic molecules into a nematic phase is a typical example of a first-order phase transition in which the continuous symmetry of the isotropic phase is broken.In a nematic phase molecules are aligned along a particular but arbitrary direction so as to have a long range order in orientation while translational degrees of freedom remain disordered as in the isotropic fluid.It is shown that in the nematic phase there are two qualitatively different contributions to pair correlation functions;one that preserves rotational invariance and the other that breaks it and vanishes in the isotropic phase.The symmetry preserving part of the pair correlation passes smoothly without any abrupt change through the isotropic-nematic transition.We describe a method of solving the Ornstein-Zernike equation with a closure relation to get both the symmetry conserving and symmetry breaking parts of pair correlation functions.Using these correlation functions we construct a free energy functional to study the freezing transition and other properties of the ordered phase.The theory predicts accurately the isotropic-nematic transition in a system of anisotropic molecules and can be extended to study other ordred phases such as smectics and crystalline solids.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Mishra, P. and Singh, Y.}, biburl = {https://www.bibsonomy.org/bibtex/2d7e7daf3ad9126bff41de3d178a29f75/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {a42919072c8807d07e7c910d42049611}, intrahash = {d7e7daf3ad9126bff41de3d178a29f75}, keywords = {correlation crystal density equation function functional integral liquid nematic pair statphys23 theory topic-1}, month = {9-13 July}, timestamp = {2007-06-20T10:16:28.000+0200}, title = {Pair Correlation Functions in Nematics and the Density-Functional Theory of Freezing}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=752}, year = 2007 }