Dynamics of energy transport and entropy production in ac-driven quantum electron systems

@article{Ludovico2016DynamicsOE,
  title={Dynamics of energy transport and entropy production in ac-driven quantum electron systems},
  author={Mar{\'i}a Florencia Ludovico and M. Moskalets and David S{\'a}nchez and Liliana Arrachea},
  journal={Physical Review B},
  year={2016},
  volume={94},
  pages={035436}
}
We analyze the time-resolved energy transport and the entropy production in ac-driven quantum coherent electron systems coupled to multiple reservoirs at finite temperature. At slow driving, we formulate the first and second laws of thermodynamics valid at each instant of time. We identify heat fluxes flowing through the different pieces of the device and emphasize the importance of the energy stored in the contact and central regions for the second law of thermodynamics to be instantaneously… 

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References

SHOWING 1-10 OF 56 REFERENCES
Scattering Matrix Approach to Non-Stationary Quantum Transport
Landauer - Buttiker Formalism Current Noise Non-Stationary Scattering Theory DC Current Generation AC Current Generation Noise of a Dynamical Scatterer Energetics of a Dynamical Scatterer Dynamical
F
OF THE DISCLOSURE A gas Spring for a drawing table which has a cylinder, a piston in the cylinder, and a piston rod projecting from the piston through one end wall of the cylinder, the other end wall
Phys
  • Rev. B 89, 161306(R)
  • 2014
New Journal of Physics 17
  • 053034
  • 2015
R
  • D’Agosta and A. Rubio, Phys. Rev. Lett. 115, 056801
  • 2015
Phys
  • Rev. B 78, 115429
  • 2008
New Journal of Physics 17
  • 045030
  • 2015
Phys
  • Rev. B 72, 125349
  • 2005
Phys
  • Rev. B 74, 245322
  • 2006
Phys
  • Rev. Lett. 101, 136805
  • 2008
...
...