理想修正玻色气体在任意三维幂律势中的囚禁
Ideal-Modified Bosonic Gas Trapped in an Arbitrary Three Dimensional Power-Law Potential
摘要：
我们分析了在几种量子引力模型中提出的反常单粒子色散关系对困在一般三维幂律势中的玻色-爱因斯坦凝聚体热力学的影响。我们证明，在冷凝温度的变化，所造成的变形色散关系，描述为一个非平凡的函数的粒子的数量和形状相关联的相应的陷阱，可以提供与这种变形的参数的界限。此外，我们计算的粒子数的波动作为这些系统的热力学稳定性的判据。我们表明，在热力学极限的异常波动所造成的明显的不稳定性可以被抑制考虑的最低能量相关的系统的问题。
英文摘要：
We analyze the effects caused by an anomalous single-particle dispersion relation suggested in several quantum-gravity models, upon the thermodynamics of a Bose-Einstein condensate trapped in a generic 3-dimensional power-law potential. We prove that the shift in the condensation temperature, caused by a deformed dispersion relation, described as a non-trivial function of the number of particles and the shape associated to the corresponding trap, could provide bounds for the parameters associated to such deformation. Additionally, we calculate the fluctuations in the number of particles as a criterium of thermodynamic stability for these systems. We show that the apparent instability caused by the anomalous fluctuations in the thermodynamic limit can be suppressed considering the lowest energy associated to the system in question.
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