Stationary and moving breathers in a simplified model of curved alpha--helix proteins

Abstract

The existence, stability and movability of breathers in a model for alpha-helix proteins is studied. This model basically consists a chain of dipole moments parallel to it. The existence of localized linear modes brings about that the system has a characteristic frequency, which depends on the curvature of the chain. Hard breathers are stable, while soft ones experiment subharmonic instabilities that preserve, however the localization. Moving breathers can travel across the bending point for small curvature and are reflected when it is increased. No trapping of breathers takes place.

arXiv comment19 pages, 11 figures

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• Discrete Breathers in a Realistic Coarse-Grained Model of Proteins
• Bubble generation in a twisted and bent DNA-like model
• Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
• Energy transfer in nonlinear network models of proteins
• Thermal diffusion of solitons on anharmonic chains with long-range coupling
• Energy localization and shape transformations in semiflexible polymer rings
• A semiclassical model for charge transfer along ion chains in silicates