Numerical Calculation of 1D ZRP chain electrical conductivity

• Autorzy: Botman S.

Identyfikatory

DOI

10.17466/tq2017/21.2/g

• Języki publikacji: EN

Abstrakty

EN

In this paper we present a numerical procedure for calculation of electrical conductivity in a periodic lattice of one-dimensional zero range potentials with a case of dominant impurity scattering. The conductivity was previously obtained in an integral form via an approximate solution of the kinetic Kolmogorov equation. The proposed approach is based on the quadrature formula for certain type of integrals. The results are compared with the low temperature limit approximation.

Słowa kluczowe

EN

conductivity; kinetic equation; numerical computation

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2017
• Tom: Vol. 21, No 2
• Strony: 185--192
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Botman S.

• School of Life Sciences, Immanuel Kant Baltic Federal University, Nevskogo 14, 236004 Kaliningrad, Russia

Bibliografia

• [1] Dresselhaus M, Lin Y-M, Rabin O, Black M, Kong J, and Dresselhaus G 2007 Nanowires, in Springer Handbook of Nanotechnology, Springer 113
• [2] Lin Y-M, Sun X, and Dresselhaus M S 2000 Physical Review B 62(7)4610
• [3] Kolmogoroff A 1931 Mathematische Annalen 104 (1)415
• [4] Demkov Yu and Ostrovskii V 2013 Zero-range potentials and their applications in atomic physics, Springer Science & Business Media
• [5] Botman S and Leble S 2016 TASK Quarterly 20 (2) 197
• [6] Botman S and Leble S 2017 Nanosystems: Physics, Chemistry, Mathematics 8 (2) 231

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).