Thermodynamics and finite-size scaling of homogeneous weakly interacting Bose gases within an exact canonical statistics
Thermodynamics and finite-size scaling of homogeneous weakly interacting Bose gases within an exact canonical statistics
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精确规范统计范围内均匀弱相互作用玻色气体的热力学和有限尺寸缩放
DOI：
10.1103/physreva.79.033604
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发表时间：
2009-03-01
影响因子：
2.9
通讯作者：
Ma, Yong-li
中科院分区：
文献类型：
--
作者：
Wang, Jian-hui;Ma, Yong-li
基于正则系综配分函数的精确递推关系，从理论上研究了具有周期边界条件的体积为${L}^{3}$的立方盒子中具有有限粒子数的弱相互作用玻色气体的热力学性质和有限尺度。与理想玻色气体的情况类似，在Bogoliubov理论的框架内建立了任何温度下相互作用有限系统的递归格式。通过数值计算得到了不同颗粒和相互作用对凝结水分数和比热的温度依赖性。通过定义有限系统的两种不同的转变温度，相互作用对转变温度的影响产生了不同的非单调行为。讨论了系统在转变温度下的有限尺寸结垢冷凝分数。结果表明，所计算的有限尺度尺度与不同的体系尺寸和转变温度无关。
The thermodynamic properties and finite-size scaling of weakly interacting Bose gases with a finite number of particles confined in a cubic box of volume ${L}^{3}$ with periodic boundary conditions are investigated theoretically based on an exact recursion relation for the canonical-ensemble partition function. In a similar manner to the case of an ideal Bose gas, the recursive scheme of the interacting finite system at any temperatures is established in the framework of the Bogoliubov theory. The temperature dependence of the condensate fraction and specific heat with different particles and interactions is obtained numerically. By defining two different transition temperatures of the finite systems, the effect of interactions on the transition temperatures yields the different and nonmonotonous behaviors. The finite-size scaling condensate fraction at the transition temperature for the systems is also discussed. It is shown that the calculated finite-size scaling is universally independent on the various system sizes and transition temperatures.