On the thermodiffusion equation for electrically charged matter

• Autorzy: Piekarski S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we propose the thermodiffusion equation for electrically charged matter. It is a generalisation of the modified Fick law, which has been introduced in the paper: S. Piekarski, "On the modified Fick law and its potential applications" (J. Tech. Phys., 44, 2, 125-131, 2003). In the modified Fick law there exists a potential force acting on the diffusing matter which is described as the gradient of the potential U(x). Now we replace U(x) by U(x) - q[phi](x,t) where [phi] is the electrostatic potential, while q is the electric charge of a diffusing carrier. We write the corresponding field equations and consider the electromotive force induced by the temperature gradient. It is easy to compute this force under the assumption that the system is quasineutral. However, it seems that a more realistic model of the electromotive force induced by the temperature gradient should allow a deviation from quasineutrality. Both versions are compared and it is interesting whether the resulting expressions can be verified experimentally.

Słowa kluczowe

PL

termodyfuzja; równania termodyfuzji; zmodyfikowane prawo Ficka; układ quasi-neutralny elektrycznie

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2005
• Tom: Vol. 46, no 2
• Strony: 83--95
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Piekarski S.

• Institute of Fundamental Technological Research Polish Academy of Sciences Swietokrzyska 21, 00-049 Warszawa, Poland

Bibliografia

• 1. S. PIEKARSKI, On modified Pick law and its potential applications, J. Tech. Phys., 44, 2, 125-131, 2003.
• 2. S. PIEKARSKI, Diffusion and thermodiffusion in a gravity field, J. Tech. Phys., 44, 3, 235-243, 2003.
• 3. V.L. BONCH-BRUYEVITSH, S.G. KALASHNIKOV, Physics of semiconductors [in Polish], PWN, Warszawa 1985; translated from Russian, Fizika poluprovodnikov, Hayka, Moskva 1977.
• 4. R. WOJNAR, On nonlinear heat equations and diffusion in porous media, Rep. on Math. Phys., 44, 1/2, 1999.
• 5. R. WOJNAR, Nonlinear heat equation and thermodiffusion, Rep. on Math. Phys., 46, 1/2, 2000.
• 6. J.D. JACKSON, Classical electrodynamics, John Wiley&Sons, 1975.
• 7. W. NOWACKI, Electromagnetic effects in deformable solid bodies [in Polish], PWN, Warszawa 1983.
• 8. F. TIERSTEN, The radiation and confinement of electromagnetic energy acompanying the oscillations of piezoelectric crystal plates, Rec. Advances in Engineering Science, Part 1, A.C. ERINGEN [Ed.], Gordon and Breach Science Publ., New York 1970.
• 9. R. PEIERLS, Quantum theory of solids, Clarendon Press, Oxford 1955.
• 10. S. PIEKARSKI, On the Debye effect in a semiconductor and an electrolyte, arXiv:cond-mat/0403758 v2 2 Apr 2004. In order to find it, one can use "http://xxx.lanl.gov" and then "condensed matter, find".