Crystals 2013, 3(2), 315-332; doi:10.3390/cryst3020315
Review

One-, Two-, and Three-Dimensional Hopping Dynamics

1 iCFD, 1-16-5 Haramachi, Meguro-ku, Tokyo 152-0011, Japan 2 Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510, Japan 3 Waseda University, Ōkubo 3-4-1, Shinjyuku-ku, Tokyo 169-8555, Japan 4 Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan 5 Kitasato University, 1-15-1 Sagamihara, Kanagawa 228-8555, Japan 6 1-19-8 Shin-Yokohama, Kohoku-Ku, Yokohama 222-0033, Japan
* Author to whom correspondence should be addressed.
Received: 10 January 2013; in revised form: 22 March 2013 / Accepted: 26 March 2013 / Published: 29 April 2013
(This article belongs to the Special Issue Advances in Liquid Crystals)
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Abstract: Hopping dynamics in glass has been known for quite a long time. In contrast, hopping dynamics in smectic-A (SmA) and hexatic smectic-B (HexB) liquid crystals (LC) has been observed only recently. The hopping in SmA phase occurs among the smectic layers (one-dimensionally), while hopping in HexB phase occurs inside the layers (two-dimensionally). The hopping dynamics in SmA and HexB liquid crystal phases is investigated by parallel soft-core spherocylinders, while three-dimensional hopping dynamics in inherent glassy states is investigated by systems of Weeks–Chandler–Andersen (WCA) spheres. The temperature dependence of diffusion coefficients of hopping in SmA phase can be described by the Arrhenius equation characteristic of activation process. In HexB LC phase, the diffusion coefficients saturate at higher temperatures. In a system of WCA spheres, the values and temperature dependence of diffusion coefficients depend on the observed states.
Keywords: hopping dynamics; liquid crystals; smectic A phase; hexatic smectic B phase

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MDPI and ACS Style

Aoki, K.M.; Fujiwara, S.; Sogo, K.; Ohnishi, S.; Yamamoto, T. One-, Two-, and Three-Dimensional Hopping Dynamics. Crystals 2013, 3, 315-332.

AMA Style

Aoki KM, Fujiwara S, Sogo K, Ohnishi S, Yamamoto T. One-, Two-, and Three-Dimensional Hopping Dynamics. Crystals. 2013; 3(2):315-332.

Chicago/Turabian Style

Aoki, Keiko M.; Fujiwara, Susumu; Sogo, Kiyoshi; Ohnishi, Shuhei; Yamamoto, Takenori. 2013. "One-, Two-, and Three-Dimensional Hopping Dynamics." Crystals 3, no. 2: 315-332.

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