Moving Breather Collisions in the Peyrard-Bishop DNA Model

A. Alvarez; F. Romero; J. Cuevas; J. Archilla

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Moving Breather Collisions in the Peyrard-Bishop DNA Model

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@INPROCEEDINGS{10.1007/978-3-642-02466-5_39,
    author={A. Alvarez and F. Romero and J. Cuevas and J. Archilla},
    title={Moving Breather Collisions in the Peyrard-Bishop DNA Model},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
    proceedings_a={COMPLEX PART 1},
    year={2012},
    month={5},
    keywords={Discrete breathers intrinsic localized modes moving breathers breather collisions Peyrard-Bishop model},
    doi={10.1007/978-3-642-02466-5_39}
}

A. Alvarez
F. Romero
J. Cuevas
J. Archilla
Year: 2012
Moving Breather Collisions in the Peyrard-Bishop DNA Model
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_39

A. Alvarez¹^,*, F. Romero¹, J. Cuevas¹, J. Archilla¹

1: Universidad de Sevilla

*Contact email: azucena@us.es

Abstract

We consider collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. Two identical stationary breathers, separated by a fixed number of pair-bases, are perturbed and begin to move approaching to each other with the same module of velocity. The outcome is strongly dependent of both the velocity of the MBs and the number of pair-bases that initially separates the stationary breathers. Some collisions result in the generation of a new stationary trapped breather of larger energy. Other collisions result in the generation of two new MBs. In the DNA molecule, the trapping phenomenon could be part of the complex mechanisms involved in the initiation of the transcription processes.

Keywords: Discrete breathers intrinsic localized modes moving breathers breather collisions Peyrard-Bishop model

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_39