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Investigation of apparent violation of the second law of thermodynamics in quantum transport studies

2002/04/14 by Tomas Novotny, Tomáš Novotný · 2 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Advanced Thermodynamics and Statistical Mechanics #Quantum and electron transport phenomena #cond-mat.stat-mech

paper · pdf · doi:10.1209/epl/i2002-00174-3

published as Europhys. Lett., 59 (5), pp. 648-654 (2002) · 5 pages, 3 figures

arxiv created 2002/04/14 · openalex publication_date 2002/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We consider a model for stationary electronic transport through a one-dimensional chain of two leads attached to a perturbed central region (quantum dot) in the regime where the theory proposed recently by Čápek for a similar model of phonon transport predicts the striking phenomenon of a permanent current between the leads. We show that Čápek's results based on a rigorous but asymptotic Davies theory differ from direct transport calculations that yield, in full agreement with the second law of thermodynamics, zero current. We find the permanent current to be within the error of the asymptotic expansion for finite couplings, and identify cancelling terms of the same order.

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