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1
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85035262795
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Most of these models are outlined in M. Remoissenet, Waves Called Solitons (Springer, Berlin, 1994)
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Most of these models are outlined in M. Remoissenet, Waves Called Solitons (Springer, Berlin, 1994);
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2
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0003421814
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Academic Press, London
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R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morries, Soliton and Nonlinear Equations (Academic Press, London, 1982);
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(1982)
Soliton and Nonlinear Equations
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Dodd, R.K.1
Eilbeck, J.C.2
Gibbon, J.D.3
Morries, H.C.4
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11
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0001885281
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Note that we simulated longer chains, typically (Formula presented) with much shorter integration steps, (Formula presented) and for longer runs (up to (Formula presented) time units)
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M. Peyrard and D. Kruskal, Physica D 14, 88 (1984).Note that we simulated longer chains, typically (Formula presented) with much shorter integration steps, (Formula presented) and for longer runs (up to (Formula presented) time units).
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(1984)
Physica D
, vol.14
, pp. 88
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Peyrard, M.1
Kruskal, D.2
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16
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85035287711
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For a trapped kink, (Formula presented) is well approximated by (Formula presented) and increases slightly by damping the oscillation amplitude. As (Formula presented) 11, phonon radiation is always of the resonant type (Formula presented)
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For a trapped kink, (Formula presented) is well approximated by (Formula presented) and increases slightly by damping the oscillation amplitude. As (Formula presented) 11, phonon radiation is always of the resonant type (Formula presented)
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19
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0001651517
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Our simulation code is a framework based on Numerical Python and custom C libraries. Time integration is performed by means of a modified Mil’shtein algorithm, at finite T, and a standard fourth-order Runge Kutta for (Formula presented) For further details, see also F. Marchesoni, C. Cattuto, and G. Costantini, Phys. Rev. B 57, 7930 (1998).
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(1998)
Phys. Rev. B
, vol.57
, pp. 7930
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Marchesoni, F.1
Cattuto, C.2
Costantini, G.3
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23
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85035255121
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An accurate determination of the discrete soliton mass (Formula presented) is reported by T. Guidi, C. Cattuto, and F. Marchesoni (unpublished)
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An accurate determination of the discrete soliton mass (Formula presented) is reported by T. Guidi, C. Cattuto, and F. Marchesoni (unpublished).
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24
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85035247739
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For (Formula presented) it suffices to start with a steplike chain configuration, which reproduces a kink centered somewhere along the chain. As the chain arranges itself towards the profile of a stable discrete kink, it radiates a phonon burst that, combined with the tilt F, pushes the kink over the lower PN barrier, thus activating its translational motion. For (Formula presented) the soliton stationary state is more sensitive to the string initial conditions. In order to check the existence of the (Formula presented) jumps, we sampled the relevant chain phase space by means of a Monte Carlo algorithm, searching for all movable initial configurations
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For (Formula presented) it suffices to start with a steplike chain configuration, which reproduces a kink centered somewhere along the chain. As the chain arranges itself towards the profile of a stable discrete kink, it radiates a phonon burst that, combined with the tilt F, pushes the kink over the lower PN barrier, thus activating its translational motion. For (Formula presented) the soliton stationary state is more sensitive to the string initial conditions. In order to check the existence of the (Formula presented) jumps, we sampled the relevant chain phase space by means of a Monte Carlo algorithm, searching for all movable initial configurations.
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