2006/10/26 by G. Nenciu · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Entropy (arrow of time) #Entropy production #Mathematical physics #Mathematics #Open quantum system #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum discord #Quantum mechanics #Quantum relative entropy #Statistical physics #Theoretical physics #math-ph #math.MP
paper · pdf · doi:10.1063/1.2712418
12 pages. Submitted for publication in J. Math. Phys. on 2006-06-05. Revision and extension of: G. Nenciu, A general proof of Landauer-Buettiker formula, [math-ph/0603030]
arxiv created 2006/10/26 · openalex publication_date 2007/03/01 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A general argument leading from the formula for currents through an open noninteracting mesoscopic system given by the theory of nonequilibrium steady states to the Landauer-Büttiker formula is pointed out. Time reversal symmetry is not assumed. As a consequence it is shown that, as far as the system has a nontrivial scattering theory and the reservoirs have different temperatures and/or chemical potentials, the entropy production is strictly positive.