Geodesic
Simulation of soliton formation in a uniform chain
Matematičeskoe modelirovanie, Tome 19 (2007) no. 1, pp. 3-13 
A. N. Korshounova; V. D. Lakhno. Simulation of soliton formation in a uniform chain. Matematičeskoe modelirovanie, Tome 19 (2007) no. 1, pp. 3-13. http://geodesic.mathdoc.fr/item/MM_2007_19_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Evolution of an arbitrary initial distribution of a quantum-mechanical particle in a uniform molecular chain is simulated by a system of coupled quantum-classical dynamical equations with dissipation. Stationary solutions of the system are determined by a nonlinear Schroedinger equation. An asymptotical expression is obtained for the time in which the soliton state is formed. The validity of the expression is checked by straightforward computational experiments. It is shown that the time of soliton formation depends strongly on the initial phase of the particle's wave function.

[1] K. Kajimura, S. Kuroda (eds.), Materials and Measurements in Molecular Electronics, Springer-Verlag, Tokyo, 1996

[2] H. Grabert, M. N. Devoret (eds.), Single Charge Tunneling. Coulomb Blockade Phenomena in Nanostructures, Plenum Press, New York and London, 1992

[3] C. Dekker, M. A. Ratner, Phys. World, 14 (2001), 29

[4] V. Bhalla, R. P. Bajpai, L. M. Bharadwaj, European Molecular Biology Reports, 4 (2003), 442

[5] G. Guniberti, L. Craco, D. Porath, C. Deccer, Phys. Rev. B, 65 (2002), 241314 | DOI

[6] H.-W. Fink, C. Schonenberger, Nature, 398 (1999), 407 | DOI

[7] F. D. Lewis et al., Science, 277 (1997), 673 | DOI

[8] Y. Okahata, T. Kobayashi, K. Tanaka, M. Shimonura, J. Am. Chem. Soc., 120 (1998), 6165 | DOI

[9] P. Tran, B. Alavi, G. Gruner, Phys. Rev. Lett., 85 (2000), 1564 | DOI | MR

[10] T. Holstein, Ann. Phys., 8 (1959), 325 | DOI | Zbl

[11] N. S. Fialko, V. D. Lakhno, Phys. Lett. A, 278 (2000), 108 | DOI

[12] V. D. Lakhno, M. N. Ustinin (red.), Kompyutery i superkompyutery v biologii, Institut kompyuternykh issledovanii, Moskva-Izhevsk, 2002 | Zbl