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arXiv 1603.05360cond-mat.softcond-mat.stat-mech
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为什么近晶A -六方相变不遵循普适类?

Why the smectic A -- hexatic phase transition does not follow its universality class?

E. I. Kats, V. V. Lebedev, A. R. Muratov

摘要:

我们解决了与近晶A -六方二阶相变附近热容临界行为有关的老问题。实验结果表明,这种相变的临界比热指数为“大”正,这与普适性分类不一致,意味着临界比热指数为非常小的负。我们表明,近晶A -六角相变的热容量的基本特征可以合理化的理论模型治疗共同波动的六角取向顺序和位置(平移)序参量的框架。假设位置(平移)关联长度大于六角关联长度,我们计算了近晶A -六角相变附近的临界区域的比热随温度的变化。我们的结果与量热实验数据定量一致。

英文摘要:

We resolve the old riddle related to the critical behavior of the heat capacity near the smectic A -- hexatic second order phase transition. Experiment suggests a "large" positive specific heat critical exponent inconsistent with the universality class for this phase transition implying the very small negative exponent. We show that essential features of the heat capacity for the smectic A -- hexatic phase transition can be rationalized in the framework of a theoretical model treating jointly fluctuations of the hexatic orientational order and of the positional (translational) order parameters. Assuming that the positional (translational) correlation length is larger than the hexatic correlation length, we calculate a temperature dependence of the specific heat in the critical region near the smectic A -- hexatic phase transition. Our results are in a quantitative agreement with the calorimetric experimental data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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