Volume 94, Number 6, June 2011
|Number of page(s)
|08 June 2011
Universality of heat and entropy transport in 1D channels at arbitrary temperatures
Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering “Horia Hulubei” 407 Atomiştilor street, P.O. BOX MG-6, Magurele, Jud. Ilfov, Romania, EU
Accepted: 9 May 2011
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.
PACS: 05.30.-d – Quantum statistical mechanics / 05.30.Ch – Quantum ensemble theory / 05.30.Pr – Fractional statistics systems (anyons, etc.)
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.