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We have constructed a unified framework for generalizing the finite-timethermodynamic behavior of statistically distinct bosonic and fermionic Stirlingcycles with regenerative characteristics. In our formalism, working fluidconsisting of particles obeying Fermi-Dirac and Bose-Einstein statistics aretreated under equal footing and modelled as a collection of non-interactingharmonic and fermionic oscillators. In terms of frequency and population of thetwo oscillators, we have provided an interesting generalization for thedefinitions of heat and work that are valid for classical as well asnon-classical working fluids. Based on a generic setting under finite timerelaxation dynamics, novel results on low and high temperature heat transferrates are derived. Characterized by equal power, efficiency, entropyproduction, cycle time and coefficient of performance, thermodynamicequivalence between two types of Stirling cycles is established in the lowtemperature "quantum" regime.

Statistical Generalization of Regenerative Bosonic and Fermionic Stirling Cycles