We show that Frenkel excitons can constitute a q-deformed boson gas in the high-density limit. Within the framework of the theory of q-deformed bosons, we further investigate the thermostatistical properties of such an exciton gas, which includes the mean occupation number, heat capacity, the phenomenon of Bose-Einstein condensation and so on. It can be found that these properties are slightly different from those of a standard boson gas. Moreover, we numerically calculate some of these properties under appropriate conditions. We consider that this work may provide insight into the theory of q bosons and may also be useful for further research on Frenkel excitons existing inside a nanomaterial.
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