Effects of dissipation on nonlinearity in transport

Evolution and integrability properties in a molecular dimer

George P. Tsironis, V. M. Kenkre, Daniel Finley

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

The effects of dissipation on the transport of quasiparticles obeying the nonlinear discrete Schrödinger equation are studied. Dissipation is introduced via the standard stochastic Liouville equation and, for a molecular dimer, a closed integro-differential equation is derived for the time dependence of the probability difference at the two molecular sites. The equation is solved numerically in the general case and analytically in a certain limit involving weak nonlinearity and damping, and the solutions are used to describe the scattering spectrum. The integrability of the equations of motion is investigated and it is shown that the equations of motion do not possess the Painlevé property.

Original languageEnglish
Pages (from-to)4474-4480
Number of pages7
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume37
Issue number11
DOIs
Publication statusPublished - 1988
Externally publishedYes

Fingerprint

equations of motion
dissipation
nonlinearity
dimers
Liouville equations
time dependence
differential equations
damping
scattering

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Effects of dissipation on nonlinearity in transport : Evolution and integrability properties in a molecular dimer. / Tsironis, George P.; Kenkre, V. M.; Finley, Daniel.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 37, No. 11, 1988, p. 4474-4480.

Research output: Contribution to journalArticle

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