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A generalised Davydov-Scott model for polarons in linear peptide chains

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  • Jingxi Luo

    (Durham University)

  • Bernard M. A. G. Piette

    (Durham University)

Abstract

We present a one-parameter family of mathematical models describing the dynamics of polarons in periodic structures, such as linear polypeptides, which, by tuning the model parameter, can be reduced to the Davydov or the Scott model. We describe the physical significance of this parameter and, in the continuum limit, we derive analytical solutions which represent stationary polarons. On a discrete lattice, we compute stationary polaron solutions numerically. We investigate polaron propagation induced by several external forcing mechanisms. We show that an electric field consisting of a constant and a periodic component can induce polaron motion with minimal energy loss. We also show that thermal fluctuations can facilitate the onset of polaron motion. Finally, we discuss the bio-physical implications of our results.

Suggested Citation

  • Jingxi Luo & Bernard M. A. G. Piette, 2017. "A generalised Davydov-Scott model for polarons in linear peptide chains," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(8), pages 1-21, August.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:8:d:10.1140_epjb_e2017-80209-2
    DOI: 10.1140/epjb/e2017-80209-2
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    Cited by:

    1. Georgiev, Danko D. & Glazebrook, James F., 2019. "On the quantum dynamics of Davydov solitons in protein α-helices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 257-269.
    2. Georgiev, Danko D. & Glazebrook, James F., 2019. "Quantum tunneling of Davydov solitons through massive barriers," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 275-293.
    3. Georgiev, Danko D. & Glazebrook, James F., 2022. "Thermal stability of solitons in protein α-helices," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Yassine Benia & Marianna Ruggieri & Andrea Scapellato, 2019. "Exact Solutions for a Modified Schrödinger Equation," Mathematics, MDPI, vol. 7(10), pages 1-9, September.

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    Keywords

    Mesoscopic and Nanoscale Systems;

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