Soliton diffusion on chains of coupled nonlinear oscillators

Physica A: Statistical Mechanics and its Applications

Volumn 334, Issue 3-4, 2004, Pages 417-443

  Arévalo, Edward ^a   Gaididei, Yuri ^b   Mertens, Franz G ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

Author keywords

Chains of oscillators; Langevin dynamics simulations; Lattice solitons; Noise

Indexed keywords

CARRIER CONCENTRATION; COMPUTER SIMULATION; DAMPING; DIFFERENTIAL EQUATIONS; ELECTRON TUBES; HARMONIC ANALYSIS; MAXWELL EQUATIONS; PERTURBATION TECHNIQUES; POISSON DISTRIBUTION; POLYNOMIALS; POLYPEPTIDES; SHOT NOISE; THERMAL NOISE; THERMODYNAMICS; WAVE PROPAGATION;

CHAINS OF OSCILLATORS; LANGEVIN DYNAMICS SIMULATION; LATTICE SOLITONS;

SOLITONS;

EID: 0742268376     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.10.084     Document Type: Article

References (35)

1. Yomosa S. Phys. Rev. A 32:1985;1752.
2. Perez P., Theodorakopoulos N. Phys. Lett. A 117:1986;405.
3. Perez P., Theodorakopoulos N. Phys. Lett. A 124:1987;267.
4. Muto V., Lomdahl P.S., Christiansen P.L. Phys. Rev. A 42:1990;7452.
5. Remoissenet M. Waves called Solitons. 1996;Springer, Berlin, Heidelberg.
6. Toda M. Theory of Nonlinear Lattices. 1981;Springer, Berlin.
7. Sp. Pnevmatikos (Ed.), Singularities and Dynamical Systems, Mathematical Studies, Vol. 103, North-Holland, Amsterdam, 1985.
8. Davydov A.S. Solitons in Molecular Systems. 1985;Reidel, Dordrecht.
9. Collins M.A. Chem. Phys. Lett. 77:1981;342.
10. Hochstrasser D., Mertens F.G., Büttner H. Phys. Rev. A 40:1989;2602.
11. Arévalo E., Mertens F.G., Gaididei Yu., Bishop A.R. Phys. Rev. E 67:2003;016 610.
12. Gardiner C.W. Stochastic Methods. 1990;Springer, Berlin.
13. R.L. Stratonovich, Topics in the Theory of Random Noise, Vol. II, Gordon and Breach, New York, 1967.
14. Hänggi P. Z. Physik. B 36:1980;271.
15. Wyatt J.L., Coram G.J. IEEE Trans. Electron Devices. 46:1999;184.
16. M. Blanter Ya., Büttiker M. Phys. Rep. 336:2000;1.
17. Landau L.D., Lifshitz E.M. Theory of Elasticity. 1986;Pergamon Press, Oxford.
18. Arévalo E., Gaididei Yu., Mertens F.G. Eur. Phys. J. B 27:2002;63.
19. Marchesoni F. Phys. Lett. A 115:1986;29.
20. Cattuto G., Marchesoni F. Europhys. Lett. 62:2003;363.
21. Habib S., Lythe G. Phys. Rev. Lett. 84:2000;1070.
22. Hänggi P., Marchesoni F., Sodano P. Phys. Rev. Lett. 60:1988;2563.
23. Meister M., Mertens F.G., Sánchez A. Eur. Phys. J. B 20:2001;405.
24. Quintero N.R., Sánchez A., Mertens F.G. Eur. Phys. J. B 16:2000;361.
25. Taniuti T., Wei C. Phys. Soc. Jpn. 21:1968;209.
26. Samsonov A.M. Strain Solitons in Solids and How to Construct them. 2001;Chapman & Hall, CRC, St. Petersburg, Russia.
27. Herman R.L. J. Phys. A 23:1990;1063.
28. Mann E. J. Math. Phys. 38:1997;3772.
29. Grimshaw R., Mitsudera H. Stud. Appl. Math. 90:1993;75.
30. Wong E., Zakai M. Ann. Math. Stat. 36:1965;1560.
31. Wong E., Zakai M. Z. Wahrscheinlichkeitstheorie Verw. Geb. 12:1969;87.
32. Konotop V., Vazquez L. Nonlinear Random waves. 1994;World Scientific, Singapore.
33. Kloeden P.E., Platen E. Numerical solution of Stochastic Differential Equations. 1997;Springer, New York.
34. Kamppeter T., Mertens F.G., Moro E., Sanchez A., Bishop A.R. Phys. Rev. B 59:1999;11 349.
35. Huang K. Statistical Mechanics. 2nd Edition:1987;Wiley, New York.