Quantum Fluctuations of Entropy Production for Fermionic Systems in Landauer-Buttiker State
arXiv:1706.00561 · doi:10.1103/PhysRevE.96.052124
Abstract
The quantum fluctuations of the entropy production for fermionic systems in the Landauer-Buttiker non-equilibrium steady state are investigated. The probability distribution, governing these fluctuations, is explicitly derived by means of quantum field theory methods and analysed in the zero frequency limit. It turns out that microscopic processes with positive, vanishing and negative entropy production occur in the system with non-vanishing probability. In spite of this fact, we show that all odd moments (in particular, the mean value of the entropy production) of the above distribution are non-negative. This result extends the second principle of thermodynamics to the quantum fluctuations of the entropy production in the Landauer-Buttiker state. The impact of the time reversal is also discussed.
LaTex 11 pages, 4 figures, enlarged and revised version to appear in Phys. Rev. E
References in corpus (6)
- Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
- Junctions of anyonic Luttinger wires
- Non-Equilibrium Conformal Field Theories with Impurities
- Luttinger Liquid in Non-equilibrium Steady State
- Why a noninteracting model works for shot noise in fractional charge experiments
- Work fluctuation and total entropy production in nonequilibrium processes