Temperature and voltage measurement in quantum systems far from equilibrium

@article{Shastry2016TemperatureAV,
  title={Temperature and voltage measurement in quantum systems far from equilibrium},
  author={Abhay Shastry and Charles A. Stafford},
  journal={Physical Review B},
  year={2016},
  volume={94},
  pages={155433}
}
We show that a local measurement of temperature and voltage for a quantum system in steady state, arbitrarily far from equilibrium, with arbitrary interactions within the system, is unique when it exists. This is interpreted as a consequence of the second law of thermodynamics. We further derive a necessary and sufficient condition for the existence of a solution. In this regard, we find that a positive temperature solution exists whenever there is no net population inversion. However, when… 

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References

SHOWING 1-10 OF 80 REFERENCES
Statistical Mechanics:
AbstractPROF. R. H. FOWLER'S monumental work on statistical mechanics has, in this the second edition, in his own modest words, been rearranged and brought more up to date. But the new volume is much
Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction
Preface 1. Second quantization 2. Getting familiar with second quantization: model Hamiltonians 3. Time-dependent problems and equations of motion 4. The contour idea 5. Many-particle Green's
The Nature of the Physical World
Preface Introduction 1. The downfall of classical physics 2. Relativity 3. Time 4. The running-down of the universe 5. 'Becoming' 6. Gravitation: the law 7. Gravitation: the explanation 8. Man's
Introduction to Scanning Tunneling Microscopy
1: Overview. Part I: Imaging Mechanism. 2: Atom-scale tunneling. 3: Tunneling matrix elements. 4: Wavefunctions at surfaces. 5: Imaging crystalline surfacces. 6: Imaging atomic states. 7: Atomic
“A and B”:
Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.
ArXiv e-prints 1409.3179v1 (2014), arXiv:1409.3179v1 [cond-mat.mes-hall
  • 2014
Phys
  • Rev. B 85, 125120
  • 2012
Phys
  • Rev. B 40, 3409
  • 1989
Dev
  • 32, 63
  • 1988
Nature 528
  • 387
  • 2015
...
1
2
3
4
5
...