Interaction of a discrete breather with a lattice junction

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 3, 2002, Pages

  Bena, Ioana ^a   Saxena, Avadh ^a,b   Sancho, J M ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOCHEMICALS; CONFIGURATIONAL ENTROPY; GLASS FORMER; RELAXATION PROCESS;

CORRELATION METHODS; ENTROPY; GLASS TRANSITION; MATHEMATICAL MODELS; PHOTONS; PRESSURE EFFECTS; SPECTROSCOPY; THERMAL EFFECTS;

GLASS;

ARTICLE;

EID: 41349088164     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.036617     Document Type: Article

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55. Note that, as noticed also in Ref. 18, in some cases a static DB that is perturbed and starts to move stops after a certain time, i.e., it is “trapped,” although the lattice is perfectly homogeneous. In our case, this happens for very low values of the kicking coefficient. Therefore, there exists a minimum value of (Formula presented) that has to be attained and exceeded in order to get a stable movement of the DB.
56. An alternative way to avoid the reflected radiation from the end points of the chain is the use of a dynamical self-expanding lattice.
57. Note that an effect that is reminiscent of this one was reported in Ref. 26. Namely, the authors considered a moving DB that traverses a curved part of a modified FPU chain (i.e., a chain with both first-and second-neighbor interactions of the FPU type). It was found that the velocity of the DB after leaving the curved region was (almost) the same, regardless of the velocity of the DB before entering the curved region. Note also that, as the authors emphasize, the same result was obtained when the “geometrical perturbation” (i.e., the presence of the curved part) of the chain was replaced by an initial random perturbation in the transverse DB direction.
58. Recall also that (Formula presented) (the center of mass conservation), which leads to (Formula presented) (Formula presented) This renders such a behavior of the coefficients of the perturbative series intuitively more accessible.