Modelling of electric current flow in 1D Pd-C nanostructure: comparison with experiment

• Autorzy: Bielski W. , Kowalczyk P. , Czerwosz E. , Idzik A. , Rymarczyk J.

Identyfikatory

DOI

10.2478/bpasts-2014-0049

• Języki publikacji: EN

Abstrakty

EN

In this paper we propose a model of electric current flow through one-dimensional palladium-carbon nanostructure (nanowire) and compare the results of numerical computations with the experimental data. We focus on two aspects: 1) calculation of the current flow through the nanowire model, 2) determination of the macroscopic parameters in the nanocomposite in our model. Because of a complex micro-geometry of a nanowire, we apply the homogenization method to perform the numerical computations.

Słowa kluczowe

EN

nanocomposites; palladium; carbonaceous matrix; homogenization

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2014
• Tom: Vol. 62, nr 3
• Strony: 465--469
• Opis fizyczny: Bibliogr. 13 poz., rys., tab., wykr.

Twórcy

autor

Bielski W.

• Institute of Geophysics, Polish Academy of Sciences, 64 Księcia Janusza St., 01-452 Warszawa, Poland
• Institute of Mathematics, Jan Kochanowski University, 15 Świętokrzyska St., 25-406 Kielce, Poland

autor

Kowalczyk P.

• Institute of Mathematics, Jan Kochanowski University, 15 Świętokrzyska St., 25-406 Kielce, Poland
• Institute of Applied Mathematics and Mechanics, University of Warsaw, 2 Banacha St., 02-097 Warszawa, Poland

autor

Czerwosz E.

• Institute of Mathematics, Jan Kochanowski University, 15 Świętokrzyska St., 25-406 Kielce, Poland
• Tele & Radio Research Institute, 11 Ratuszowa St., 03-450 Warszawa, Poland

autor

Idzik A.

• Institute of Mathematics, Jan Kochanowski University, 15 Świętokrzyska St., 25-406 Kielce, Poland
• Institute of Computer Science, Polish Academy of Sciences, 5 Jana Kazimierza St., 01-248 Warszawa, Poland

autor

Rymarczyk J.

• Institute of Mathematics, Jan Kochanowski University, 15 Świętokrzyska St., 25-406 Kielce, Poland
• Tele & Radio Research Institute, 11 Ratuszowa St., 03-450 Warszawa, Poland

Bibliografia

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• [2] L.J. Chen, J.H. Tyan, and J.T. Lue, “The non-metallic conductivity of Nb3Ge films sputtered on silicon substrates”, Phys. Chem. Solids 55 (9), 871–879 (1994).
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• [4] A. Bensoussan, J.-L. Lions, and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam, 1978.
• [5] E. Sanchez-Palencia, Non Homogeneous Media and Vibration Theory, Springer-Verlag, Berlin, 1980.
• [6] R. Wojnar, “Homogenization of electric conductor and Joule-Lenz’s heat”, J. Techn. Physics 35, 151–159 (1994).
• [7] J.J. Telega and W. Bielski, “Stochastic homogenization and macroscopic modelling of composites and flow through porous media”, Theor. Appl. Mech. 28–29, 337–378 (2002).
• [8] J.J. Telega and W. Bielski, “Flows in random porous media: effective models”, Computers and Geotechnics 30, 271–288 (2003).
• [9] J.J. Telega and R. Wojnar, “Electrokinetics in random piezoelectric porous media”, Bull. Pol. Ac.: Tech. 55 (1), 125–128 (2007).
• [10] R. Wojnar, “Flow of Stokesian fluid through a cellular medium and thermal effects”, Bull. Pol. Ac.: Tech. 62 (2), 321–327 (2014).
• [11] E. Kowalska, E.Czerwosz, M. Kozłowski, W. Surga, J. Radomska, and H.Wronka, “Structural, thermal, and electrical properties of carbonaceous films containing palladium nanocrystals”, J. Thermal Analysis and Calorimetry 101 (2), 737–742 (2010).
• [12] W. Bielski, P. Kowalczyk, A. Idzik, E. Czerwosz, and E. Kowalska, “Modelling of a time dependent electron diffusion problem for nanocrystalline one-dimensional carbon-palladium structures via homogenization”, Numerical Analysis and Applied Mathematics ICNAAM 2011, AIP Conference Proc. 1389, 1878–1881 (2011).
• [13] B. Gambin and W. Bielski, “Incompressible limit for a magnetostrictive energy functional”, Bull. Pol. Ac.: Tech. 61 (4), 1025–1030 (2013).