NONLINEARITY, DISSIPATION AND TRANSPORT IN A MOLECULAR TRIMER

Date

1993-02-15

Author

GULEN, D
BASKAL, S

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This study investigates the effects of dissipation on the quasi-particle transport in a degenerate molecular trimer in which the time evolution is described by the discrete non-linear Schrodinger equation. The standard procedure of introducing dissipation as a phase-destroying stochastic parameter through the corresponding Liouville-von Neumann equation is employed. A dosed second-order integrodifferential equation describing the time evolution of the site occupation probability difference is derived in the simultaneous presence of non-linearity and dissipation for trimers in compact geometry subjected to specific initial conditions. The Painleve property of the evolution equation is examined and it is found that the system is not of p type.

Subject Keywords

General Materials Science, Condensed Matter Physics

URI

https://hdl.handle.net/11511/65788

Journal

JOURNAL OF PHYSICS-CONDENSED MATTER

DOI

https://doi.org/10.1088/0953-8984/5/7/017

Collections

Department of Physics, Article

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Citation Formats

D. GULEN and S. BASKAL, “NONLINEARITY, DISSIPATION AND TRANSPORT IN A MOLECULAR TRIMER,” JOURNAL OF PHYSICS-CONDENSED MATTER, pp. 899–906, 1993, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65788.