2014/09/30 by Mihail Mintchev, Luca Santoni, Paul Sorba · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Dissipation #Energy (signal processing) #Energy transport #Non-equilibrium thermodynamics #Nonlinear system #Nuclear transmutation #Parity (physics) #Particle (ecology) #Potential energy #Quantum #Quantum many-body systems #Thermal properties of materials #cond-mat.stat-mech #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/1751-8113/48/5/055003
published as J. Phys. A: Math. Theor. 48 (2015) 055003 · Version to appear in Journal of Physics A: Mathematical and General
arxiv created 2014/12/19 · openalex publication_date 2015/01/16 · openalex created_date 2016/06/24 · arxiv updated 2017/10/13 · openalex updated_date 2026/08/06
We investigate particle and heat transport in quantum junctions with the geometry of star graphs. The system is in a non-equilibrium steady state, characterized by the different temperatures and chemical potentials of the heat reservoirs connected to the edges of the graph. We explore the Landauer–Büttiker state and its orbit under parity and time reversal transformations. Both particle number and total energy are conserved in these states. However, the heat and chemical potential energy are in general not separately conserved, which gives origin to a basic process of energy transmutation among them. We study both directions of this process in detail, introducing appropriate efficiency coefficients. For scale invariant interactions in the junction our results are exact and explicit. They cover the whole parameter space and take into account all nonlinear effects. The energy transmutation depends on the particle statistics.