摘要翻译:
在自洽平均场近似下,考虑了一个玻色-爱因斯坦凝聚系统,该系统是守恒的,无间隙的,适用于任意的相互作用强度和温度。主要注意在相互作用强度较大的区域内以及在零到临界点T_c之间的所有温度下,对凝结水和超流体馏分进行深入分析。除T_c附近外,几乎所有相互作用和温度的正常平均和反常平均都是相同的。但即使在临界温度附近,反常平均也不能被忽略,因为只有在临界温度存在时,T_c的相变才是二阶的,这是应该的。温度的升高以类似的方式影响凝析油和超流体馏分,减少它们。但它们在相互作用强度方面的行为有很大不同。对于所有温度,超流体分数都大于凝结水分数。它们只在T_c或零相互作用下重合。对于渐近强相互作用,凝析油几乎完全耗尽,即使在低温下,而超流部分可以接近1。
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英文标题:
《Condensate and superfluid fractions for varying interactions and
temperature》
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作者:
V.I. Yukalov and E.P. Yukalova
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
A system with Bose-Einstein condensate is considered in the frame of the self-consistent mean-field approximation, which is conserving, gapless, and applicable for arbitrary interaction strengths and temperatures. The main attention is paid to the thorough analysis of the condensate and superfluid fractions in a wide region of interaction strengths and for all temperatures between zero and the critical point T_c. The normal and anomalous averages are shown to be of the same order for almost all interactions and temperatures, except the close vicinity of T_c. But even in the vicinity of the critical temperature, the anomalous average cannot be neglected, since only in the presence of the latter the phase transition at T_c becomes of second order, as it should be. Increasing temperature influences the condensate and superfluid fractions in a similar way, by diminishing them. But their behavior with respect to the interaction strength is very different. For all temperatures, the superfluid fraction is larger than the condensate fraction. These coincide only at T_c or under zero interactions. For asymptotically strong interactions, the condensate is almost completely depleted, even at low temperatures, while the superfluid fraction can be close to one.
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PDF链接:
https://arxiv.org/pdf/707.1233