Effects of charge-charge interactions and external fields in shape transformations of closed filaments (original) (raw)
The role of charge-charge interactions in shape transformations of closed filaments induced by the charge-curvature coupling is studied. It is shown that while sufficiently strong repulsive interaction between carriers makes a circular shape of the filament energetically more favorable with a spatially uniform charge distribution along the filament, the attractive interaction facilitates a creation of polygonal filaments. The robustness of the shape transformation process with respect to external forces which are time and space periodic, is considered. It is shown that strong enough external driving makes the shape of the filament and the charge distribution along the filament highly irregular.
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Physical review. E, 2021
We find that a moderate intrinsic twisting rate (ITR) can induce a bistable state for a force-free two-dimensional intrinsically curved filament. There are two different configurations of equal energy in a bistable state so that the filament is clearly different from its three-dimensional counterpart. The smaller the ITR or the larger the intrinsic curvature (IC), the clearer the distinction between two isoenergetic configurations and the longer the filament. In bistable states, the relationship between length and ITR is approximately a hyperbola and relationship between IC and critical ITR is approximately linear. Thermal fluctuation can result in a shift between two isoenergetic configurations, but large bending and twisting rigidities can prevent the shift and maintain the filament in one of these two configurations. Moreover, a filament can have a metastable state and at a finite temperature such a filament has the similar property as that of a filament with bistable state.
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