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Volumn 63, Issue 4, 2001, Pages

Driven kinks in discrete chains: Phonon damping

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DAMPING; GAUSSIAN NOISE (ELECTRONIC); KINETIC ENERGY; RESONANCE; SOLITONS; THERMAL EFFECTS;

EID: 4243549327     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.046611     Document Type: Article
Times cited : (10)

References (32)
  • 1
    • 85035262795 scopus 로고    scopus 로고
    • Most of these models are outlined in M. Remoissenet, Waves Called Solitons (Springer, Berlin, 1994)
    • Most of these models are outlined in M. Remoissenet, Waves Called Solitons (Springer, Berlin, 1994);
  • 11
    • 0001885281 scopus 로고
    • 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)
    • 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).
    • (1984) Physica D , vol.14 , pp. 88
    • Peyrard, M.1    Kruskal, D.2
  • 16
    • 85035287711 scopus 로고    scopus 로고
    • 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)
    • 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)
  • 19
    • 0001651517 scopus 로고    scopus 로고
    • 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).
    • (1998) Phys. Rev. B , vol.57 , pp. 7930
    • Marchesoni, F.1    Cattuto, C.2    Costantini, G.3
  • 23
    • 85035255121 scopus 로고    scopus 로고
    • An accurate determination of the discrete soliton mass (Formula presented) is reported by T. Guidi, C. Cattuto, and F. Marchesoni (unpublished)
    • An accurate determination of the discrete soliton mass (Formula presented) is reported by T. Guidi, C. Cattuto, and F. Marchesoni (unpublished).
  • 24
    • 85035247739 scopus 로고    scopus 로고
    • 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
    • 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.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.