Likelihood and expected-time statistics of monodomain attractors in sheared discotic and rod-like nematic polymers

نویسندگان

  • Xiaoyu Zheng
  • M. Gregory Forest
  • Ruhai Zhou
  • Qi Wang
چکیده

In confined flows of initially homogenous nematic polymers, a key factor in the evolution of mesostructure is the likely timescale, denoted by ÆtæA, on which monodomain mesophase attracting states, denoted by A, are resonated by the imposed flow. These monodomain modes (flow-aligning (FA), logrolling (LR), tumbling Xiaoyu Zheng M. Gregory Forest Ruhai Zhou Qi Wang Likelihood and expected-time statistics of monodomain attractors in sheared discotic and rod-like nematic polymers

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Symmetries of the Doi kinetic theory for nematic polymers of arbitrary aspect ratio: at rest and in linear flows.

The Doi theory has successfully modeled the monodomain shear flow problem for rigid, rodlike nematic polymers. Numerical simulations of the Smoluchowski equation for the orientational probability distribution function (PDF) predict monodomain attractors in regions of nematic concentration N and shear rate gamma. Theoretical work has focused on approximate constructions of PDF solutions in linea...

متن کامل

The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: finite shear rates

The purpose of this paper is to extend the rheological predictions of the Doi-Hess kinetic theory for sheared nematic polymers from the anomalous weak shear regime (Forest et al., 2003) to arbitrary shear rates, and to associate salient rheological and optical properties with the solution space of kinetic theory. Using numerical bifurcation software (AUTO), we provide the phase diagram of all s...

متن کامل

Monodomain dynamics for rigid rod and platelet suspensions in strongly coupled coplanar linear flow and magnetic fields

xtensional flows and magnetic fields induce similar steady alignment responses when applied to iquid crystals LCs , liquid crystal polymers LCPs and nematic rigid rod or platelet uspensions. This observation is explained for LCs by a classical analogy, expressed as a ymmetry, between hydrodynamic and magnetic fields in the Leslie-Ericksen theory de Gennes nd Prost, The Physics of Liquid Crystal...

متن کامل

Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows

Q. Wang Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510, USA Abstract Recent extensions of the Doi kinetic theory for monodisperse nematic liquids describe rigid, axisymmetric, ellipsoidal macromolecules with finite aspect ratio. Averaging and presumed linear flow fields provide tensor dynamical systems for mesoscopic, bulk orientation response, parameterized by ...

متن کامل

Exact scaling laws for electrical conductivity properties of nematic polymer nano-composite monodomains

The purpose of this paper is to connect two critical aspects of nano-composite materials engineering. The nano-elements considered here derive from the class of high aspect ratio nematic polymers, either rod-like or platelet spheroids. First, the overall electrical properties of polymer nano-composites are well approximated by the effective electrical conductivity tensor in the low volume fract...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004