Power Spectral Density Analysis of Nanowire-Anchored Fluctuating Microbead Reveals a Double Lorentzian Distribution
| Autor: | Gaszton Vizsnyiczai, Gregor Bánó, Gergely T. Iványi, Lóránd Kelemen, Zoltán Tomori, Gabriel Žoldák, Jana Kubackova, D. Horváth, Alena Strejčková, Andrej Hovan |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
General Mathematics Linear model Degrees of freedom (statistics) Cauchy distribution Spectral density 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Potential energy nanowire cantilever n/a 0103 physical sciences Computer Science (miscellaneous) QA1-939 Statistical physics 010306 general physics 0210 nano-technology double Lorentzian spectrum Engineering (miscellaneous) Parametrization Brownian motion Equipartition theorem stochastic model Mathematics |
| Zdroj: | Mathematics, Vol 9, Iss 1748, p 1748 (2021) Mathematics Volume 9 Issue 15 |
| ISSN: | 2227-7390 |
| Popis: | In this work, we investigate the properties of a stochastic model, in which two coupled degrees of freedom are subordinated to viscous, elastic, and also additive random forces. Our model, which builds on previous progress in Brownian motion theory, is designed to describe water-immersed microparticles connected to a cantilever nanowire prepared by polymerization using two-photon direct laser writing (TPP-DLW). The model focuses on insights into nanowires exhibiting viscoelastic behavior, which defines the specific conditions of the microbead. The nanowire bending is described by a three-parameter linear model. The theoretical model is studied from the point of view of the power spectrum density of Brownian fluctuations. Our approach also focuses on the potential energy equipartition, which determines random forcing parametrization. Analytical calculations are provided that result in a double-Lorentzian power density spectrum with two corner frequencies. The proposed model explained our preliminary experimental findings as a result of the use of regression analysis. Furthermore, an a posteriori form of regression efficiency evaluation was designed and applied to three typical spectral regions. The agreement of respective moments obtained by integration of regressed dependences as well as by summing experimental data was confirmed. |
| Databáze: | OpenAIRE |
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