Maier-Saupe nematogenic fluid: field theoretical approach

• Дата: 2011
• Автори: Holovko, M., di Caprio, D., Kravtsiv, I.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут фізики конденсованих систем НАН України 2011
• Назва видання: Condensed Matter Physics
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/120019
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Maier-Saupe nematogenic fluid: field theoretical approach/ M. Holovko, D. di Caprio, I. Kravtsiv // Condensed Matter Physics. — 2011. — Т. 14, № 3. — С. 33605: 1-12. — Бібліогр.: 24 назв. — англ.

We adopt a field theoretical approach to study the structure and thermodynamics of a homogeneous Maier-Saupe nematogenic fluid interacting with anisotropic Yukawa potential. In the mean field approximation we retrieve the standard Maier-Saupe theory for liquid crystals. In this theory the density is expressed via the second order Legendre polynomial of molecule orientations. In the Gaussian approximation we obtain analytical expressions for the correlation functions, the elasticity constant, the free energy, the pressure, and the chemical potential. We also use Ward symmetry identities to set a simple condition for the correlation functions. Subsequently we find corrections due to fluctuations and show that density now contains Legendre polynomials of higher orders.