Topological phonon modes in filamentous structures
| Autor: | Kira Joel, Miriam Koolyk, Emil Prodan, Nina Berg |
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| Rok vydání: | 2010 |
| Předmět: |
Physics
Work (thermodynamics) Class (set theory) Topological degeneracy Phonon Point reflection Structure (category theory) FOS: Physical sciences Condensed Matter - Soft Condensed Matter Topology Quantitative Biology - Quantitative Methods Models Biological Vibration Actin Cytoskeleton Models Chemical FOS: Biological sciences Topological order Soft Condensed Matter (cond-mat.soft) Computer Simulation Topological quantum number Quantitative Methods (q-bio.QM) |
| DOI: | 10.48550/arxiv.1010.5407 |
| Popis: | Topological phonon modes are robust vibrations localized at the edges of special structures. Their existence is determined by the bulk properties of the structures and, as such, the topological phonon modes are stable to changes occurring at the edges. The first class of topological phonons was recently found in 2-dimensional structures similar to that of Microtubules. The present work introduces another class of topological phonons, this time occurring in quasi one-dimensional filamentous structures with inversion symmetry. The phenomenon is exemplified using a structure inspired from that of actin Microfilaments, present in most live cells. The system discussed here is probably the simplest structure that supports topological phonon modes, a fact that allows detailed analysis in both time and frequency domains. We advance the hypothesis that the topological phonon modes are ubiquitous in the biological world and that living organisms make use of them during various processes. Comment: accepted for publication (Phys. Rev. E) |
| Databáze: | OpenAIRE |
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