Dynamic Form Factors In The Toda Chain


Andreas Neuper and Franz G. Mertens

Institut für Theoretische Physik, Universität Bayreuth, D-95440 Bayreuth, Germany


We investigate the correlation functions of the periodic Toda chain at finite temperature numerically by using a combination of Monte-Carlo and molecular-dynamics methods. Intermediate steps allow comparison to known analytical results, e.g. excitation spectra. We also show an analytic approach to the force-force-correlation functions of the Toda chain extending an idea of the soliton gas theory: Non-interacting cnoidal waves describe excited waves of all kinds, from harmonic to solitary behaviour. The obtained shape of the force-force structure factor for a fixed wavenumber is a smooth, asymmetric single peak with a steep high-frequency side. Numerical and analytical results are in good agreement.

See also

A. NEUPER and F. G. MERTENS. Dynamic form factor for the Yomosa model for the energy transport in proteins In M. Peyrard, editor, Nonlinear Excitations In Biomolecules, Spinger (Les Editions de Physique), p.286 (1995)

--> List of Abstracts

Telephone: ++49-921-55-3227
Facsimile: ++49-921-55-2991
Electronic Mail: Franz.Mertens@theo.phy.uni-bayreuth.de
Sat Jul 1 1995