Thermodynamic q-Distributions That Aren't

Details Thermodynamic q-Distributions That Aren't Thermodynamic q-Distributions That Aren't

1993-05-14

arxiv.org/abs/hep-th/9305067v3

Mod.Phys.Lett.A9:1-10,1994

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, UW/PT-93-05, ANL-HEP-CP-93-39, Latex-Revtex [ Augmented list of references, sound and not. ]

Scientific paper

10.1142/S0217732394000022

Bosonic q-oscillators commute with themselves and so their free distribution is Planckian. In a cavity, their emission and absorption rates may grow or shrink---and even diverge---but they nevertheless balance to yield the Planck distribution via Einstein's equilibrium method, (a careless application of which might produce spurious q-dependent distribution functions). This drives home the point that the black-body energy distribution is not a handle for distinguishing q-excitations from plain oscillators. A maximum cavity size is suggested by the inverse critical frequency of such emission/absorption rates at a given temperature, or a maximum temperature at a given frequency. To remedy fragmentation of opinion on the subject, we provide some discussion, context, and references.

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