Investigation of apparent violation of the second law of thermodynamics in quantum transport studies
Open accessAbstract
We consider a model for stationary electronic transport through a one-dimensional chain of two leads attached to a perturbed central region (quantum dot) in the regime where the theory proposed recently by Čápek for a similar model of phonon transport predicts the striking phenomenon of a permanent current between the leads. We show that Čápek's results based on a rigorous but asymptotic Davies theory differ from direct transport calculations that yield, in full agreement with the second law of thermodynamics, zero current. We find the permanent current to be within the error of the asymptotic expansion for finite couplings, and identify cancelling terms of the same order.
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The treatment introduced in [16] corresponds to the local approach described in the paper.
“In fact, the treatment introduced in [16] corresponds to the local approach described above.”
From The local approach to quantum transport may violate the second law of thermodynamics (2014) · cites this paper as [16]
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The local approach to quantum transport may violate the second law of thermodynamics
Levy, A., & Kosloff, R. (2014) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/107/20004 · Cited by 286 · see citing works
Markovian master equations for quantum thermal machines: Local versus global approach
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Cattaneo, M., Giorgi, G. L., Maniscalco, S., & Zambrini, R. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab54ac · Cited by 169 · see citing works
- Authors
- Novotný, T.
- Affiliations
- Charles University (CZ)
- Corresponding author
- Novotný, T
- ORCID
- Novotný, T
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 2002-09
- Volume
- 59
- Issue
- 5
- Pages
- 648-654
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2131415414
- Cited by
- 50
- References
- 15
- Citations by year
- 2025: 3 · 2024: 4 · 2023: 4 · 2022: 4 · 2021: 3 · 2019: 3 · 2018: 3 · 2017: 2 · 2016: 2 · 2014: 2
- FWCI
- 1.45
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Europhysics Letters (EPL) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Keywords
- second law of thermodynamics, quantum transport, persistent currents, quantum dots, one-dimensional chains, phonon transport, asymptotic expansion, finite coupling
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