2010/12/06 by Dragoş-Victor Anghel · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Entropy (arrow of time) #Fermi gas #Heat capacity #Heat flux #Heat transfer #Mathematics #Mesoscopic physics #Multiplicative function #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Thermal properties of materials #Thermodynamics #Universality (dynamical systems) #cond-mat.mes-hall
paper · pdf · doi:10.1209/0295-5075/94/60004
published as EPL 94, 60004 (2011) · Phys. Rev. format, 4 pages, 1 figure
arxiv created 2010/12/06 · openalex publication_date 2011/06/01 · arxiv updated 2013/02/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
I show that there is a close analogy between the quantities that describe one-dimensional (1D) quantum transport and the thermodynamic quantities of 2D quantum gases at equilibrium; for example the particle, energy, heat and entropy fluxes are analogous to the particle number, internal energy, heat capacity and entropy, respectively. Based on this, I write analytic expressions for the transport quantities and I show that the heat conductivity and entropy current are independent of statistics at any temperature. The quanta of heat conductance is therefore the low-temperature limit of the heat conductance of one channel and is the same —as expected from the analogy above— as the low-temperature limit of heat capacity. The physical interpretation of this remarkable universality of 1D transport is given in terms of configurations of particle populations which carry the same heat fluxes.