Experimental Evidence for a Hyperscaling Relation at a Nematic to Smectic A Phase Transition |
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| Authors: | Ichiro Hatta Takao Nakayama |
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| Institution: | Department of Applied Physics , Nagoya University , Chikusaku, Nagoya, 464, Japan |
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| Abstract: | A hyperscaling relation v″ + 2v┴ = 2 – α is examined for the nematic to smectic A transition of 4-octyloxy-4′-cyanobiphenyl (8OCB) and 4-octyl-4′-cyanobiphenyl (8CB). From the heat capacity results, 2-α is analyzed to be 1.84 ± 0.03 for 8OCB and 1.75 ± 0.02 for 8OCB. On the other hand v″ + 2v┴ is calculated from the results reported by X-ray experiments to be 1.87 ± 0.12 for 8OCB and 1.69 ± 0.11 for 8CB. From the above coincidences the hyperscaling relation is found to be applicable to the nematic to smectic A transition. |
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| Keywords: | liquid crystal pattern formation amplitude equation thermal convection Rayleigh-Benard zigzag |
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