Fluctuation corrections to thermodynamic functions: Finite-size effects

Sinha, Sudarson Sekhar; Ghosh, Arnab; Ray, Deb Shankar

doi:10.1103/physreve.87.042112

Cited by 11 publications

(4 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The generic form of ρ(ω) satisfies a power law behavior with ρ(ω) ∝ ω m . For m = 1, spectral density is "Ohmic", for m > 1, it is "super-Ohmic" and m < 1, it is "sub-Ohmic" [52,53]. Now, as β ω → ∞, i.e., at low temperature limit, the exponential term in Eq.…”

Section: Finite Time Formulationmentioning

confidence: 97%

Statistical Generalization of Regenerative Bosonic and Fermionic Stirling Cycles

Gupt,

Bhattacharyya,

Ghosh

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We have constructed an 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.

show abstract

Section: Finite Time Formulationmentioning

confidence: 97%

Statistical Generalization of Regenerative Bosonic and Fermionic Stirling Cycles

Gupt,

Bhattacharyya,

Ghosh

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Classically, heat flows according to the laws of thermodynamics, i.e., from high to low temperatures. Quantum mechanically, the flow of the heat current must be governed by a microscopic description, without violating the ultimate laws of thermodynamics [ 44 , 45 , 46 , 47 , 48 ].…”

Section: Microscopic Description Of Heat Flowmentioning

confidence: 99%

Universal Behavior of the Coulomb-Coupled Fermionic Thermal Diode

Ghosh

Gupt

Ghosh

2022

Entropy

Self Cite

View full text Add to dashboard Cite

We propose a minimal model of a Coulomb-coupled fermionic quantum dot thermal diode that can act as an efficient thermal switch and exhibit complete rectification behavior, even in the presence of a small temperature gradient. Using two well-defined dimensionless system parameters, universal characteristics of the optimal heat current conditions are identified. It is shown to be independent of any system parameter and is obtained only at the mean transitions point “−0.5”, associated with the equilibrium distribution of the two fermionic reservoirs, tacitly referred to as “universal magic mean”.

show abstract

“…Classically heat flows according to laws of thermodynamics from high to low temperature. Quantum mechanically, flow of heat current must be governed by a microscopic description, without violating the ultimate laws of thermodynamics [43,45,46,53,54]. In Fig.…”

Section: Appendix A: Derivation Of the Lindblad Master Equationmentioning

confidence: 99%

Universal behaviour of Coulomb coupled Fermionic thermal diode

Ghosh¹,

Gupt²,

Ghosh³

2022

Preprint

View full text Add to dashboard Cite

We propose a minimal model of a Coulomb coupled fermionic quantum dot thermal diode that can act as an efficient thermal switch and exhibit complete rectification behaviour, even in presence of a small temperature gradient. Using two well defined dimensionless system parameters, universal characteristics of the optimal heat current condition are identified. It is shown to be independent of any system parameter and is obtained only at the mean transitions point "−0.5", associated with the equilibrium distribution of the two fermionic reservoirs, tacitly referred as "universal magic mean".

show abstract

Fluctuation corrections to thermodynamic functions: Finite-size effects

Cited by 11 publications

References 43 publications

Statistical Generalization of Regenerative Bosonic and Fermionic Stirling Cycles

Statistical Generalization of Regenerative Bosonic and Fermionic Stirling Cycles

Universal Behavior of the Coulomb-Coupled Fermionic Thermal Diode

Universal behaviour of Coulomb coupled Fermionic thermal diode

Contact Info

Product

Resources

About