Fluctuations in an Ideal Modified Bosonic Gas Trapped in an Arbitrary 3-dim Power-Law Potential

Details Fluctuations in an Ideal Modified Bosonic Gas Trapped in an Arbitrary 3-dim Power-Law Potential Fluctuations in an Ideal Modified Bosonic Gas Trapped in an Arbitrary 3-dim Power-Law Potential

2012-02-16

arxiv.org/abs/1202.3801v1

Physics

Mathematical Physics

Scientific paper

We analyze the number of particle fluctuations within the semiclassical approximation of an ideal bosonic gas with an anomalous single--particle dispersion relation suggested in several quantum--gravity approaches trapped in a generic 3--dimensional power--law potential as a criterium of thermodynamic stability for these systems. We show that the analysis of the fluctuations in the number of particles caused by a deformation in the dispersion relation, leads to an observable consequence associated to the thermodynamic stability for a specific choice of the trap parameters. Additionally, we deduce the shift in the critical temperature in the thermodynamic limit associated with this "modified bosonic gas" and show that this shift expressed in function of the number of particles, can be used as an amplifier for some quantum gravity manifestations for stable systems.

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