For citation:
Pankratov E. L. Acceleration and deceleration оf diffusion in а medium by time modulation of diffusion coefficient . Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 2, pp. 96-101. DOI: 10.18500/0869-6632-2003-11-2-96-101
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Article
UDC:
539.219.3:669
Acceleration and deceleration оf diffusion in а medium by time modulation of diffusion coefficient
Autors:
Pankratov Evgeniy Leonidovich, Lobachevsky State University of Nizhny Novgorod
Abstract:
On the base оf recently elaborated approach to а estimating time characteristics оf mass transport, the relaxation time оf dopant concentration in а medium with nonstationary diffusion coefficient is determined. On the base of spectral decomposition, the conditions for the change law оf diffusion coefficient when maximum acceleration оr deceleration оf diffusion process take place are determined.
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Acknowledgments:
This work was supported by grants from RFBR (No. 02-02-17517 and No. 03-02- 06158), NS (No. 1729.2003.2) and INTAS (No. 2001-0450).
Reference:
- Gillin WP, Dunstan DJ. Strain and interdiffusion in semiconductor heterostructures. Phys. Rev. В. 1994;50(11):7495–7498. DOI: 10.1103/PhysRevB.50.7495.
- Raichenko AI. Mathematical Theory of Diffusion in Applications. Kyiv: Naukova Dumka; 1981. 396 p. (in Russian).
- Maltsev AA, Pankratov EL. Time to establish the concentration of a substance in a weakly inhomogeneous medium. In: Yakimov AV, editor. Proceedings of the (Fifth) Scientific Conference on Radiophysics. Nizhny Novgorod: Nizhny Novgorod State University; 2001. P. 211 (in Russian).
- Dubkov AA, Mal’tsev AA, Pankratov EL. Effective relaxation time of the impurity concentration in a medium with a slightly nonuniform diffusion coefficient. Tech. Phys. 2002;47(11):1359–1363. DOI: 10.1134/1.1522102
- Korn G, Korn T. Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. New York: McGraw-Hill; 1961. 943 p.
- Garanin DA. Integral relaxation time оf а single-domain ferromagnetic particles. Phys. Rev. Е. 1996;54(4):3250–3256. DOI: 10.1103/PhysRevE.54.3250.
- Malakhov AN, Pankratov EN. Relaxation time of material density in a medium with arbitrary space-varying diffusion coefficient and potential profile. Radiophysics and Quantum Electronics. 2001;44(4):339–345. DOI: 10.1023/A:1010478322064.
- Malakhov AN, Pankratov EL. Evolution times оf probability distribution аnd averages-exact solutions of the Kramers’ problem. Adv. Chem. Phys. 2002;121:356–438. DOI: 10.1002/0471264318.ch6.
Received:
06.11.2002
Accepted:
17.02.2003
Available online:
16.11.2023
Published:
30.05.2003
Journal issue:
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