Global orientation dynamics for liquid crystalline polymers

DOI10.1016/j.physd.2007.02.008zbMath1183.82101OpenAlexW2169903550MaRDI QIDQ882307

Hai-liang Liu

Publication date: 23 May 2007

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2007.02.008

zbMATH Keywords

asymptotic stabilityphase transitionDoi-Smoluchowski equationorientation dynamicsrigid rod-like polymers

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Statistical mechanics of polymers (82D60) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (5)

On the stationary solutions of Doi-Onsager model in general dimension ⋮ Effects of director rotation relaxation on viscoelastic wave dispersion in nematic elastomer beams ⋮ On the stationary solutions of the 2D Doi-Onsager model ⋮ From kinetic to fluid models of liquid crystals by the moment method ⋮ On stationary solutions of the 2D Doi-Onsager model

Cites Work

• Asymptotic states of a Smoluchowski equation
• Spectral dynamics of the velocity gradient field in restricted flows
• Remarks on a Smoluchowski equation
• Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential
• A note on the Onsager model of nematic phase transitions
• The structure of equilibrium solutions of the one-dimensional Doi equation
• Note on the number of steady states for a two-dimensional Smoluchowski equation
• Critical points of the Onsager functional on a sphere
• A new proof on axisymmetric equilibria of a three-dimensional Smoluchowski equation

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