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arXiv 1906.03555cond-mat.softcond-mat.stat-mech
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近晶薄膜中近晶-A-六方-B共存的Landau理论

Landau theory for smectic-A -- hexatic-B coexistence in smectic films

E. I. Kats, V. V. Lebedev, E. S. Pikina

摘要:

我们从理论上解释了最近在独立近晶膜中实验观察到的有限温度范围内近晶A -六方B平衡相共存的特性[I. A. Zaluzhnyy等人,Physical Review E,第98卷,052703(2018)]。我们定量描述了这一意想不到的现象内朗道相变理论假设的膜状态是接近三临界点。我们发现,表面的六角序导致减少的相共存范围的膜厚度减少收缩它在一些最小的膜厚度,六角相关长度的顺序。用约化变量建立了相共存温度宽度的普遍规律。我们的理论与现有的实验数据是一致的。

英文摘要:

We explain theoretically peculiarities of the smectic A -- hexatic B equilibrium phase coexistence in a finite temperature range recently observed experimentally in free standing smectic films [I.A.Zaluzhnyy et al., Physical Review E, volume 98, 052703 (2018)]. We quantitatively describe this unexpected phenomenon within Landau phase transitions theory assuming that the film state is close to a tricritical point. We found that the surface hexatic order leads to diminishing the phase coexistence range as the film thickness decreases shrinking it at some minimal film thickness, of the order of the hexatic correlation length. We established universal laws for the temperature width of the phase coexistence in terms of the reduced variables. Our theory is in agreement with the existing experimental data.

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