Modified Bosonic Gas Trapped in a Generic 3-dim Power Law Potential

Details Modified Bosonic Gas Trapped in a Generic 3-dim Power Law Potential Modified Bosonic Gas Trapped in a Generic 3-dim Power Law Potential

2012-02-16

arxiv.org/abs/1202.3806v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We analyze the consequences caused by an anomalous single-particle dispersion relation suggested in several quantum-gravity models, upon the thermodynamics of a Bose-Einstein gas trapped in a generic 3-dimensional power-law potential, within the semiclassical approximation. We show that the critical temperature must be corrected as a consequence of such deformation in the dispersion relation. Additionally, we prove that this shift in the critical temperature, in three different scenarios, namely, the thermodynamic limit, systems with a finite number of particles, and in a weakly interacting systems, can be described as a non-trivial function of the number of particles and the trap parameters. In other words, an appropriate manipulation of the number of particles, together with an adequate choice of the trap parameters, could be used, in principle, to enhance some quantum gravity manifestations.

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