2023/11/03 by L. Reggiani, Reggiani, Lino, Eleonora Alfinito +2 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Conductance #Duality (order theory) #FOS: Physical sciences #Grand canonical ensemble #Ideal (ethics) #Mathematical physics #Mathematics #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Molecular Junctions and Nanostructures #Physics #Quantum and electron transport phenomena #Quantum mechanics #Reflection (computer programming) #Thermal properties of materials
paper · pdf · doi:10.48550/arxiv.2311.01942
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/11/03 · openalex created_date 2023/11/07 · openalex updated_date 2026/07/28
In this paper we present an extension of Landauer paradigm, conductance is transmission, to the case of macroscopic classical conductors making use of a description of conductance and resistance based on the application of the fluctuation dissipation (FD) theorem. The main result is summarized in the expressions below for conductance G and resistance R at thermodynamic equilibrium, with the usual meaning of symbols. G is given in terms of the variance of total carrier number fluctuations between two ideal transparent contacts in an open system described by a grand canonical ensemble as G =\frace2 vx'2 τL2 KBT δN2 %= \frace2 √vx'2 ΓL KBT δ%N2 %= \frace2 N Γ Lm√vx'2 By contrast R is given in terms of the variance of carrier drift-velocity fluctuations due to the instantaneous carrier specular reflection at the internal contact interfaces of a closed system described by a canonical ensemble as R= ((m L)2)/(e2 KBT τ) δvd2 %= \frac Lm√vx'2 e2 N Γ The FD approach gives evidence of the duality property of conductance related to transmission and resistance related to reflection. Remarkably, the expressions above are shown to recover the quantum Landauer paradigm in the limit of zero temperature for a one-dimensional conductor.