Thermal solitons and solectrons in 1d anharmonic lattices up to physiological temperatures

International Journal of Bifurcation and Chaos

Volumn 18, Issue 12, 2008, Pages 3815-3823

  Velarde, M G ^a   Ebeling, W ^a   Chetverikov, A P ^a  

^a INSTITUTO PLURIDISCIPLINAR   (Spain)

Author keywords

Anharmonicity; Hopping conduction; Lattice solitons; Morse interactions; Solectrons

Indexed keywords

BINDING SITES; DIFFERENTIAL EQUATIONS; PHYSIOLOGY; ROUTERS; SOLITONS; STOCHASTIC SYSTEMS;

ANHARMONICITIES; ELECTRON DISTRIBUTIONS; ELECTRON-LATTICE COUPLING; HOPPING CONDUCTION; LATTICE SOLITONS; PHYSIOLOGICAL TEMPERATURE; SOLECTRONS; TIGHT-BINDING APPROXIMATIONS;

ELECTRONS;

EID: 60749084425     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408022767     Document Type: Article

References (26)

1. Binder, K. (ed.) [1979] Monte Carlo Methods in Statistical Physics (Springer, Berlin).
2. Blakemore, J. S. [1962] Semiconductor Statistics (Pergamon Press, Oxford);
3. See also [1985] Solid State Physics (Cambridge University Press, Cambridge).
4. Böttger, H. & Bryksin, V. V. [1985] Hopping Conduction in Solids (Akademie-Verlag, Berlin).
5. Chetverikov, A. P., Ebeling, W. & Velarde, M. G. [2005] "Thermodynamics and phase transitions in dissipative and active Morse chains," Eur. Phys. J. B 44, 509-519.
6. Chetverikov, A. P., Ebeling, W. & Velarde, M. G. [2006a] "Nonlinear excitations and electric transport in dissipative Morsc-Toda lattices," Eur. Phys. J. B 51, 87-99.
7. Chetverikov, A. P., Ebeling, W. & Velarde, M. G., [2006b] "Dissipative solitons and complex currents in active lattices," Int. J. Bifurcation and Chaos 16, 1613-1632.
8. Chetverikov, A. P., Ebeling, W., Röpke, G. & Velarde, M. G. [2007] "Anharmonic excitations, time correlations and electric conductivity," Contrib. Plasma Phys. 47, 465-478.
9. Christiansen, A. L. & Scott, A. C. (eds.) [1983] Davydov's Soliton Revisited. Self-Trapping of Vibrational Energy in Protein (Plenum Press, NY).
10. Filinov, A. V., Golubnychiy, V. O., Bonitz, M., Ebeling, W. & Uufty, J. W. [2004] "Temperature-dependent quantum pair potentials and their application to dense partially ionized hydrogen plasmas," Phys. Rev. E 70, 046411-1-17.
11. Gray, H. B. & Winkler, J. Ft. [2003] "Electron tunneling through proteins," Quart. Rev. Biophys. 36, 341-372.
12. Hennig, D., Neissner, C., Velarde, M. G. & Ebeling, W. [2006] "Effect of anharmonicity on charge transport in hydrogen-bonded systems," Phys. Rev. B 73, 024306-1-10.
13. Hennig, D., Chetverikov, A. P., Velarde, M. G. & Ebeling, W. [2007] "Electron capture and transport mediated by lattice solitons," Phys. Rev. E 76, 046602-1-9.
14. Hopfield, J. J. [1974] "Electron transfer between biological molecules by thermally activated tunneling," Proc. Nat. Acad. Sci. USA 71, 3640-3644.
15. Kalosakas, G., Aubry, S. & Tsironis, G. P. [1998] "Polaron solutions and normal-mode analysis in the semiclassical Holstein model," Phys. Rev. B 58, 3094-3104.
16. Kalosakas, G., Rasmussen, K. O. & Bishop, A. R. [2003] "Nonlinear excitations in UNA: Polarons and bubbles," Synthetic Metals 141. 93-97.
17. Lebowitz, J. L. & Bergmann, P. G. [1957] "Irreversible Gibbsian ensembles," Ann. Phys. N.Y. 1, 1-20.
18. Lomdahl, P. S. & Kerr, W. C. [1985] "Do Davydov solitons exist at 300K?" Phys. Rev. Lett, 55, 1235-1238.
19. Makarov, V. A., Velarde, M. G., Chetverikov, A. P. & Ebeling, W. [2006] "Anharmonicity and its significance to non-Ohmic electric conduction," Phys. Rev. E 73, 066626-1-12.
20. Schneider, T. & Stoll, E. [1975] "Observation of cluster waves and their lifetime," Phys. Rev. Lett. 35, 296-299.
21. Scott, A. C. [1992] "Davydov's soliton," Phys. Rep. 217, 1-67.
22. Velarde, M. G., Ebeling, W. & Chetverikov, A. P. [2005] "On the possibility of electric conduction mediated by dissipative solitons," Int. J. Bifurcation and Chaos 15, 245-251.
23. Velarde, M. G., Ebeling, W., Hennig, D. & Neissner, C. [2006] "On soliton-mediated fast electric conduction in a nonlinear lattice with Morse interactions," Int. J. Bifurcation and Chaos 16, 1035-1039.
24. Velarde, M. G. [2008] "From polarons to solectrons. The addition of nonlinear elasticity to quantum mechanics and its possible effect upon electric transport," J. Comput. Applied Maths, to appear.
25. Velarde, M. G. Ebeling, W., Chetverikov, A. P. & Hennig, I). [2008] "Electron trapping by solitons: Classical versus quantum mechanical approach," Int. J. Bifurcation and Chaos 18, 521-526.
26. Zolotaryuk, A. V., Spatschek, K. H. & Savin, A. V. [1996] "Supersonic mechanisms for charge and energy transfers in anharmonic molecular chains," Phys. Rev. B 54, 266-277.