Radiative damping of driven sine-Gordon breathers

Döttling, R.; Esslinger, J.; Lay, Wolfgang; Seeger, A.

doi:10.1007/bfb0033636

Cited by 4 publications

(2 citation statements)

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“…An example of a successful analysis is the effect of hydrogen charging on the Bordonitype relaxation processes in Pd [70]. F Feature 12 For an explicit treatment based on the so-called adiabatic approximation, see Döttling et al [67]. The treatment includes the determination of the separatrix, i. e. of the contour line E = E cr that separates, in the 'phase plane' of action variable I and angle variable f, the time-periodic breather-type solutions from those of unbound pairs of kinks of opposite sign.…”

Section: Relaxation By Kink-pair Generation In Fcc Metalsmentioning

confidence: 99%

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Verhakungen, dislocations, solitons, and kinks

Seeger

2009

International Journal of Materials Research

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Verhakungen, dislocations, solitons, and kinksThe paper retraces, from a personal viewpoint, the development of atomistic models of dislocations in crystals from the model of Prandtl, Dehlinger, Frenkel, and Kontorova, first conceived in 1912, to recent work on kinks in dislocations. Among the topics discussed in some detail are the emergence of the theory of solitons, the rate theory of kink-pair generation, and the interplay of experiment and theory in the quantitative investigation of kinks by mechanical relaxation and flow-stress measurements. An outcome of this interplay, the determination of the planes of the elementary slip steps of screw dislocations in refractory body-centred cubic metals, has become the 'open sesame!' of quite a number of puzzling phenomena in which the plastic deformation of bcc metals differs from that of fcc metals and alloys. These phenomena include non-uniformities in the flow-stress -temperature relationship, anomalous slip, tension -compression asymmetry in uniaxial straining tests, alloy softening, and the enigma of 'reversible' vs. 'irreversible' c-relaxation. The key for their understanding is a first-order transition transforming the cores of a 0 <111>/2 screw dislocations from a low-temperature configuration capable of slipping on {110} planes to a configuration with a {112} slip plane at elevated temperatures. Various problems needing further research are pointed out.

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Section: Relaxation By Kink-pair Generation In Fcc Metalsmentioning

confidence: 99%

“…(1) by the additional term mentioned above leads to a non-vanishing coupling of the breather-like motion to the heavy phonons. In a second step [67], the damping of the breather motion resulting from this coupling was calculated by perturbation theory.…”

Section: Relaxation By Kink-pair Generation In Fcc Metalsmentioning

confidence: 99%