Nonlinear effects in quasielastic neutron scattering

Exact line-shape calculation for a dimer

V. M. Kenkre, G. P. Tsironis

Research output: Contribution to journalArticle

91 Citations (Scopus)

Abstract

An exact solution of a discrete nonlinear Schroumldinger equation, obtained recently for the site occupation probabilities in a two-site system such as a molecular dimer, has shown that the probabilities evolve in the form of Jacobian elliptic functions and exhibit a self-trapping transition. On the basis of that solution, we examine the effect of nonlinearities on the quasielastic scattering function in a dimer. The calculation is appropriate to the scattering of probe particles such as neutrons off moving quasiparticles which interact with lattice vibrations strongly enough to produce nonlinear effects while moving in the lattice. A well-known example is provided by hydrogen atoms diffusing among sites around impurities, e.g., oxygen, in metals such as niobium. Our calculation results in explicit expressions for the scattering spectrum. They exhibit the phenomenon of motional narrowing even in the absence of true damping. Comparison of the results for the undamped nonlinear dimer and the damped linear dimer uncover striking similarities as well as differences.

Original languageEnglish
Pages (from-to)1473-1484
Number of pages12
JournalPhysical Review B
Volume35
Issue number4
DOIs
Publication statusPublished - 1987
Externally publishedYes

Fingerprint

Neutron scattering
Dimers
line shape
neutron scattering
dimers
Scattering
Niobium
Lattice vibrations
elliptic functions
scattering functions
lattice vibrations
scattering
Nonlinear equations
niobium
occupation
nonlinear equations
Hydrogen
hydrogen atoms
Neutrons
Damping

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Nonlinear effects in quasielastic neutron scattering : Exact line-shape calculation for a dimer. / Kenkre, V. M.; Tsironis, G. P.

In: Physical Review B, Vol. 35, No. 4, 1987, p. 1473-1484.

Research output: Contribution to journalArticle

Kenkre, V. M. ; Tsironis, G. P. / Nonlinear effects in quasielastic neutron scattering : Exact line-shape calculation for a dimer. In: Physical Review B. 1987 ; Vol. 35, No. 4. pp. 1473-1484.
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