Natural tristability of a confined helical filament with anisotropic bending rigidities
Abstract We find that when $$c_0 R\sim 0.5$$ c 0 R ∼ 0.5 and $$\tau _0R<0.11<c_0R$$ τ 0 R < 0.11 < c 0 R , confining a helical filament with anisotropic bending rigidities within a cylindrical tube of radius R can create a natural tristable status which is consisted of two low-pitch heli...
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Nature Portfolio
2024-06-01
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| Online Access: | https://doi.org/10.1038/s41598-024-64903-x |
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| author | Zicong Zhou |
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| description | Abstract We find that when $$c_0 R\sim 0.5$$ c 0 R ∼ 0.5 and $$\tau _0R<0.11<c_0R$$ τ 0 R < 0.11 < c 0 R , confining a helical filament with anisotropic bending rigidities within a cylindrical tube of radius R can create a natural tristable status which is consisted of two low-pitch helices and one high-pitch helix, where a helical filament is referred to as a filament that has both an intrinsic curvature ( $$c_0$$ c 0 ) and an intrinsic twist rate ( $$\tau _0$$ τ 0 ). The formation of the tristable status also requires that the filament has a significant difference between two bending rigidities and a large twisting rigidity. The relative heights of two low-pitch helices in a tristable status are close to zero, and the smaller the intrinsic twisting angle, the smaller the difference between these two heights. Moreover, at a large intrinsic twisting angle, two low-pitch helices display a large energy difference, and the energy difference increases with decreasing $$\tau _0$$ τ 0 . Meanwhile, the relative height of the high-pitch helix is always close to that of a straight line. Finally, at some specific intrinsic parameters, the tristable status can include an isoenergic status with two helices of the same energy but distinct pitches. |
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| institution | Kabale University |
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| language | English |
| publishDate | 2024-06-01 |
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| spelling | doaj-art-7cc5c5c0db504da1b86c1ddc2e4b31762025-01-26T12:34:41ZengNature PortfolioScientific Reports2045-23222024-06-0114111310.1038/s41598-024-64903-xNatural tristability of a confined helical filament with anisotropic bending rigiditiesZicong Zhou0Department of Physics, Tamkang UniversityAbstract We find that when $$c_0 R\sim 0.5$$ c 0 R ∼ 0.5 and $$\tau _0R<0.11<c_0R$$ τ 0 R < 0.11 < c 0 R , confining a helical filament with anisotropic bending rigidities within a cylindrical tube of radius R can create a natural tristable status which is consisted of two low-pitch helices and one high-pitch helix, where a helical filament is referred to as a filament that has both an intrinsic curvature ( $$c_0$$ c 0 ) and an intrinsic twist rate ( $$\tau _0$$ τ 0 ). The formation of the tristable status also requires that the filament has a significant difference between two bending rigidities and a large twisting rigidity. The relative heights of two low-pitch helices in a tristable status are close to zero, and the smaller the intrinsic twisting angle, the smaller the difference between these two heights. Moreover, at a large intrinsic twisting angle, two low-pitch helices display a large energy difference, and the energy difference increases with decreasing $$\tau _0$$ τ 0 . Meanwhile, the relative height of the high-pitch helix is always close to that of a straight line. Finally, at some specific intrinsic parameters, the tristable status can include an isoenergic status with two helices of the same energy but distinct pitches.https://doi.org/10.1038/s41598-024-64903-xMetamaterialChiral multistable statesConfined materialSemiflexible biopolymerPhase diagram |
| spellingShingle | Zicong Zhou Natural tristability of a confined helical filament with anisotropic bending rigidities Scientific Reports Metamaterial Chiral multistable states Confined material Semiflexible biopolymer Phase diagram |
| title | Natural tristability of a confined helical filament with anisotropic bending rigidities |
| title_full | Natural tristability of a confined helical filament with anisotropic bending rigidities |
| title_fullStr | Natural tristability of a confined helical filament with anisotropic bending rigidities |
| title_full_unstemmed | Natural tristability of a confined helical filament with anisotropic bending rigidities |
| title_short | Natural tristability of a confined helical filament with anisotropic bending rigidities |
| title_sort | natural tristability of a confined helical filament with anisotropic bending rigidities |
| topic | Metamaterial Chiral multistable states Confined material Semiflexible biopolymer Phase diagram |
| url | https://doi.org/10.1038/s41598-024-64903-x |
| work_keys_str_mv | AT zicongzhou naturaltristabilityofaconfinedhelicalfilamentwithanisotropicbendingrigidities |