有哪些信誉好的足球投注网站Quantum description of the orientational degrees of freedom in a biaxial nematic liquid.pdf
- 1、本文档共33页，可阅读全部内容。
- 2、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
- 3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击 这里二次下载。
- 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。
查看更多
Quantum description of the orientational degrees of freedom in a biaxial nematic liquid
a
r
X
i
v
:
c
o
n
d
-
m
a
t
/
9
8
1
0
2
3
6
v
1
1
9
O
c
t
1
9
9
8
Quantum description of the orientational
degrees of freedom in a biaxial nematic liquid
Jorge Alfaro ?, Oscar Cubero
Facultad de F??sica
Universidad Cato?lica de Chile
Casilla 306, Santiago 22, Chile
and
Luis F. Urrutia
Departamento de F??sica de Altas Energ??as
Instituto de Ciencias Nucleares
Universidad Nacional Auto?noma de Me?xico
Apartado Postal 70-543, 04510 Me?xico, D.F.
February 1, 2008
Abstract
The quantum mechanical version of a classical model for studying the orientational
degrees of freedom corresponding to a nematic liquid composed of biaxial molecules
is presented. The effective degrees of freedom are described by operators carrying an
SU(3) representation, which allows the explicit calculation of the partition function
in the mean field approximation. The algebraic consistency conditions are solved nu-
merically and the equilibrium phases of the system are determined. In particular, the
entropy, the specific heat and the order parameters are presented for different choices
of the constituent biaxial molecules. Our results reproduce the classical calculation in
the limit of high temperatures and high quantum numbers.
PACS codes: 05.30, 64.60.C, 64.70.M
Keywords: quantum statistical mechanics, phase transitions, model systems in liquid
crystals, mean field approximation.
?e-mail address: jalfaro@lascar.puc.cl .
0
1 Introduction
Nematic liquids constitute a particular case of the phases denominated with the generic
name of liquid crystals [1, 2]. This is a state of matter which is intermediate between the
liquid and the solid phases. It lacks the positional symmetry characterizing the lattice of a
crystal, which makes it similar to a liquid, but it retains some orientational symmetry that
is not present in a normal (isotropic) liquid. The molecules forming a liquid crystal can be
roughly caracterized as rod-like or disc-like, and the corresponding orientational symmetry is
manifested
您可能关注的文档
- On the semi-regular module and vertex operator algebras.pdf
- On the Trivial Many Sorted Algebras and Many Sorted Congruences.pdf
- On the union stabilization of two Heegaard splittings.pdf
- On the yield functionals in Lagrangian stress space of elastic-plastic materials with inter.pdf
- On Z_2-twisted representation of vertex operator superalgebras and the Ising model SVOA.pdf
- On-center and Off-center cell competition generates oriented receptive fields from non-orie.pdf
- On-Demand Lake Circulation Modeling.ppt
- On-Farm Profitability of Remote Sensing in Agriculture(f11e073h 张欣).pdf
- On-Road Measurement of Gas and Particle Phase Pollutant Emission.pdf
- Oncogenic role of microRNAs in brain tumors.pdf
文档评论（0）