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Title: Phase space trajectories and Lyapunov exponents in the dynamics of an alpha-helical protein lattice with intra- and inter-spine interactions

Abstract

The nonlinear dynamics of intra- and inter-spine interaction models of alpha-helical proteins is investigated by proposing a Hamiltonian using the first quantized operators. Hamilton's equations of motion are derived, and the dynamics is studied by constructing the trajectories and phase space plots in both cases. The phase space plots display a chaotic behaviour in the dynamics, which opens questions about the relationship between the chaos and exciton-exciton and exciton-phonon interactions. This is verified by plotting the Lyapunov characteristic exponent curves.

Authors:
;  [1]
  1. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400085 (India)
Publication Date:
OSTI Identifier:
22482296
Resource Type:
Journal Article
Journal Name:
Chaos (Woodbury, N. Y.)
Additional Journal Information:
Journal Volume: 25; Journal Issue: 11; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1054-1500
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; DIAGRAMS; EQUATIONS OF MOTION; HAMILTONIANS; INTERACTIONS; LYAPUNOV METHOD; NONLINEAR PROBLEMS; PHASE SPACE; PHONONS; PROTEINS; TRAJECTORIES

Citation Formats

Angelin Jeba, K., Latha, M. M., E-mail: lathaisaac@yahoo.com, and Jain, Sudhir R. Phase space trajectories and Lyapunov exponents in the dynamics of an alpha-helical protein lattice with intra- and inter-spine interactions. United States: N. p., 2015. Web. doi:10.1063/1.4935957.
Angelin Jeba, K., Latha, M. M., E-mail: lathaisaac@yahoo.com, & Jain, Sudhir R. Phase space trajectories and Lyapunov exponents in the dynamics of an alpha-helical protein lattice with intra- and inter-spine interactions. United States. https://doi.org/10.1063/1.4935957
Angelin Jeba, K., Latha, M. M., E-mail: lathaisaac@yahoo.com, and Jain, Sudhir R. 2015. "Phase space trajectories and Lyapunov exponents in the dynamics of an alpha-helical protein lattice with intra- and inter-spine interactions". United States. https://doi.org/10.1063/1.4935957.
@article{osti_22482296,
title = {Phase space trajectories and Lyapunov exponents in the dynamics of an alpha-helical protein lattice with intra- and inter-spine interactions},
author = {Angelin Jeba, K. and Latha, M. M., E-mail: lathaisaac@yahoo.com and Jain, Sudhir R.},
abstractNote = {The nonlinear dynamics of intra- and inter-spine interaction models of alpha-helical proteins is investigated by proposing a Hamiltonian using the first quantized operators. Hamilton's equations of motion are derived, and the dynamics is studied by constructing the trajectories and phase space plots in both cases. The phase space plots display a chaotic behaviour in the dynamics, which opens questions about the relationship between the chaos and exciton-exciton and exciton-phonon interactions. This is verified by plotting the Lyapunov characteristic exponent curves.},
doi = {10.1063/1.4935957},
url = {https://www.osti.gov/biblio/22482296}, journal = {Chaos (Woodbury, N. Y.)},
issn = {1054-1500},
number = 11,
volume = 25,
place = {United States},
year = {Sun Nov 15 00:00:00 EST 2015},
month = {Sun Nov 15 00:00:00 EST 2015}
}