On the Isotropic–Nematic Phase Transition for the Liquid Crystal
On the Isotropic–Nematic Phase Transition for the Liquid Crystal
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DOI：
10.1007/s42543-018-0005-3
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发表时间：
2018-10
期刊：
影响因子：
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通讯作者：
Mingwen Fei;Wei Wang;Pingwen Zhang;Zhifei Zhang
中科院分区：
文献类型：
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作者：
Mingwen Fei;Wei Wang;Pingwen Zhang;Zhifei Zhang
In this paper, we study the isotropic–nematic phase transition for the nematic liquid crystal based on the Landau–de Gennes-tensor theory. We justify the limit from the Landau–de Gennes flow to a sharp interface model: in the isotropic region,; in the nematic region, the-tensor is constrained on the manifoldswitha positive constant, and the evolution of alignment vector fieldobeys the harmonic map heat flow, while the interface separating the isotropic and nematic regions evolves by the mean curvature flow. This problem can be viewed as a concrete but representative case of the Rubinstein–Sternberg–Keller problem introduced in Rubinstein et al. (SIAM J. Appl. Math. 49:116–133, 1989; SIAM J. Appl. Math. 49:1722–1733, 1989).
