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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Statistical fluctuations and quasi phase transition of mesoscopic Bose-Einstein condensation in anharmonic trap
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Statistical fluctuations and quasi phase transition of mesoscopic Bose-Einstein condensation in anharmonic trap

机译：无摇臂陷阱中介术培养 - 爱因斯坦凝结的统计波动和拟阶段过渡

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The possibility of quasi phase transition of interacting Bose gas in mesoscopic regime and in the anharmonic trap is studied by a correlated two-body basis function approach. Our methodology accurately describes all measures of statistical fluctuations in anharmonic trap with different anharmonicity. The results addressed here go beyond the mean field theory, correctly describe finite-sized effect and one unique formalism is valid for entire temperature region. Our main discovery : the lambda-structure in all fluctuation measures near the transition temperature remains same qualitatively in all traps. We also define three characteristic temperatures calculated from the point of inflexion of the lambda-structure of standard deviation, third and fourth central moment. All the three characteristic temperatures smoothly increase with increase in anharmonicity which jointly confirm that the achievement of condensation is more favourable in anharmonic trap. The possibility of true phase transition is ruled out for all traps for the mesoscopic Bose-Einstein condensate. However the additional calculation of transition exponent for the specific heat capacity nicely exhibits that quasi phase transition is more prominent in harmonic trap in comparison with anharmonic traps. (C) 2019 Elsevier B.V. All rights reserved.
机译：通过相关的双体基函数方法研究了介于介质状态和anharmonic陷阱中相互作用的瓶子气体的准相变的可能性。我们的方法精确地描述了具有不同anharmonicity的Anharmonic陷阱中的所有统计波动措施。这里解决的结果超出了平均场理论，正确描述有限尺寸的效果，一个独特的形式主义对于整个温度区域有效。我们的主要发现：在过渡温度附近的所有波动措施中的Lambda结构在所有陷阱中保持相同。我们还定义了从标准偏差，第三和第四中心的λ结构的强度计算的三个特征温度。所有三个特征温度随着Anharmonicity的增加而平稳地增加，这联合证实了缩合的实现在anharmonic陷阱中更有利。针对介于术血管凝胶凝胶的所有疏水物排除了真实相转变的可能性。然而，比较的特定热容量的过渡指数的额外计算很好地表现出准相转变与谐波陷阱相比谐波陷阱更突出。 （c）2019 Elsevier B.v.保留所有权利。

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