Statistical Generalization of Regenerative Bosonic and Fermionic Stirling Cycles

Abstract

We have constructed a unified framework for generalizing the finite-time thermodynamic behavior of statistically distinct bosonic and fermionic Stirling cycles with regenerative characteristics. In our formalism, working fluid consisting of particles obeying Fermi-Dirac and Bose-Einstein statistics are treated under equal footing and modelled as a collection of non-interacting harmonic and fermionic oscillators. In terms of frequency and population of the two oscillators, we have provided an interesting generalization for the definitions of heat and work that are valid for classical as well as non-classical working fluids. Based on a generic setting under finite time relaxation dynamics, novel results on low and high temperature heat transfer rates are derived. Characterized by equal power, efficiency, entropy production, cycle time and coefficient of performance, thermodynamic equivalence between two types of Stirling cycles is established in the low temperature "quantum" regime.

References in corpus (17)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Quantum Thermodynamics
• Quantum Thermodynamics
• Quantum heat engines and refrigerators: Continuous devices
• Single ion heat engine with maximum efficiency at maximum power
• Quantum Equivalence and Quantum Signatures in Heat Engines
• The quantum harmonic Otto cycle
• Quantum engine efficiency bound beyond the second law of thermodynamics
• Thermodynamics of quantum systems under dynamical control
• Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
• Single-atom heat machines enabled by energy quantization
• Two-level masers as heat-to-work converters
• Quantum heat engine based on level degeneracy
• Temperature dependent maximization of work and efficiency in a degeneracy assisted quantum Stirling heat engine
• Carnot cycle for an oscillator
• Quantum Heat Engines with Singular Interactions
• Fluctuation corrections on thermodynamic functions: Finite size effect