Duality of boson and fermion: New intermediate-statistics

In this work, we propose a new model for describing an intermediate-statistics particles system. Starting with a deformed grand partition function, we investigate several thermodynamical and statistical properties of a gas model of two-parameter deformed particles. We specifically focus on the low temperature behavior of the model and the conditions under which either boson condensation or fermion condensation would occur in such a model are discussed. Our results obtained in this study reveal that the present deformed gas model exhibits duality of boson and fermion, and can be useful for approaching the thermostatistics of condensation characteristics in quantum systems. (C) 2017 Elsevier B.V. All rights reserved.