Dynamics of energy transport and entropy production in ac-driven quantum electron systems
arXiv:1604.02953 · doi:10.1103/PhysRevB.94.035436
Abstract
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 though 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 satisfied. In addition, we discuss conservative and dissipative contributions to the heat flux and to the entropy production as a function of time. We illustrate these ideas with a simple model corresponding to a driven level coupled to two reservoirs with different chemical potentials.
12 pages, 5 figures; v2: discussions improved, references added
References in corpus (19)
- Strong coupling between single-electron tunneling and nano-mechanical motion
- Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
- Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
- Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Mesoscopic Charge Relaxation
- Energy exchange in driven open quantum systems at strong coupling
- Periodic Thermodynamics of Open Quantum Systems
- Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
- Quantum heat fluctuations of single particle sources
- Heat flux operator, current conservation and the formal Fourier's law
- Heat transfer in the spin-boson model: A comparative study in the incoherent tunneling regime
- Energy and power fluctuations in ac-driven coherent conductors
- Heat due to system-reservoir correlations in thermal equilibrium
- Fluctuation Relations for Spintronics
- Phononic heat transport in the transient regime: An analytic solution
- Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
- Magnetoasymmetric current fluctuations of single-electron tunneling
- Fluctuation theorem for heat transport probed by a thermal electrode
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