THERMODYNAMIC q-DISTRIBUTIONS THAT AREN'T

STAMATIS VOKOS, COSMAS ZACHOS
1994 Modern Physics Letters A  
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
more » ... ations 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.
doi:10.1142/s0217732394000022 fatcat:sntcxdnyhvdljpltmhkqzsn2uu