Quantum and temperature effects on Davydov soliton dynamics: averaged Hamiltonian method
- 24 February 1992
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 4 (8) , 1915-1923
- https://doi.org/10.1088/0953-8984/4/8/007
Abstract
The dynamics of Davydov solitons within the so-called mod D1> state which allows quantum effects in the lattice are studied at physiological temperatures using Davydov's averaged Hamiltonian method. For this purpose the Euler-Lagrange method is used to obtain approximate equations of motion from a thermally averaged Hamiltonian. Within mod D1> dynamics at T=0K and for parameter values appropriate for proteins, no solitons are found. It is demonstrated that temperature effects at 300 K shift the stability window for travelling solitons into regions of the parameter space which might be realistic for proteins.Keywords
This publication has 21 references indexed in Scilit:
- Influence of heat bath and disorder in the sequence of amino acid masses on Davydov solitonsJournal of Physics: Condensed Matter, 1989
- Calculation of the lifetime of a Davydov soliton at finite temperaturePhysical Review Letters, 1989
- Coherent excitations of a 1-dimensional molecular lattice with mass variationPhysics Letters A, 1987
- Dynamics of the Davydov model inalpha-helical proteins: Effects of the coupling parameter and temperaturePhysical Review A, 1986
- Do Davydov Solitons Exist at 300 K?Physical Review Letters, 1985
- Launching a Davydov Soliton: II. Numerical StudiesPhysica Scripta, 1984
- Launching a Davydov Soliton: I. Soliton AnalysisPhysica Scripta, 1984
- Modified variational solution of the Thomas-Fermi equation for atomsPhysical Review A, 1982
- Solitons in Molecular SystemsPhysica Scripta, 1979
- Solitary excitons in one‐dimensional molecular chainsPhysica Status Solidi (b), 1973