An adaptive multilevel Monte Carlo algorithm for the stochastic drift–diffusion–Poisson system

Khodadadian, Amirreza; Parvizi, Maryam; Heitzinger, Clemens

doi:10.1016/j.cma.2020.113163

Cited by 28 publications

(20 citation statements)

References 34 publications

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“…In order to estimate the frequency, we use the efficient parameters, summarized in Table 1. Accordingly we get 9 KHz < ω < 500 KHz (33) Here like Eq. 18, with increasing electrical conductivity of SWCNTs, frequency of zero force shift to the right and also relaxation time constant increases so to absorb SWCNTs with higher electrical conductivity we should use higher frequencies which results in absorption of more metal SWCNTs and as a result fabricated device shows metallic behavior.…”

Section: Ellipsoid Particle Model Of Cntsmentioning

confidence: 85%

“…The calculated results are consistent with experiments, yet previously calculated parameters in a particular frequency have led to mostly metallic or quasimetallic behavior. The theoretical results can be extended to solve different novel problems in electrochemistry, e.g., [18,19,20,21], modern physics [21,22,23,24,25,26] as well as simulation of silicon nanowire sensors [27,28,29,30,31], field-effect transistors [32,33], and ion channels [34].…”

Section: Introductionmentioning

confidence: 99%

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Frequency dependence of dielectrophoresis fabrication of single-walled carbon nanotube field-effect transistor

Sadabad¹,

Khodadadian²,

Istadeh³

et al. 2020

Preprint

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In this paper, we present a new theoretical model for the dielectrophoresis (DEP) process of the single-walled Carbon nanotubes (SWCNT). We obtain a different frequency interval for the alignment of wide energy gap semiconductor SWCNTs which shows a considerable difference with the prevalent model. For this, we study two specific models namely, the spherical model and the ellipsoid model to estimate the frequency interval. Then, we perform the DEP process and use the obtained frequencies (of spherical and ellipsoid models) for the alignment of the SWCNTs. Our empirical results declare the theoretical prediction, i.e., a crucial step toward the realization of carbon nanotube fieldeffect transistor (CNT-FET) with the DEP process based on the ellipsoid model.

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Section: Ellipsoid Particle Model Of Cntsmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Frequency dependence of dielectrophoresis fabrication of single-walled carbon nanotube field-effect transistor

Sadabad¹,

Khodadadian²,

Istadeh³

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

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“…A transport equation for confined structures has been used to calculate the ionic currents through various transmembrane proteins in Khodadadian and Heitzinger [24]. Also for more details see [25][26][27][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Integrated radial basis functions to simulate modified anomalous sub‐diffusion equation

Dehghan

Ebrahimijahan

Abbaszadeh

2022

Numerical Methods Partial

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This research work presents a newly truly meshless approach based upon the integrated radial basis functions (IRBFs) technique to study the fractional modified anomalous sub-diffusion equation. First, the temporal direction is discretized by a finite difference method with second-order accuracy. The stability analysis and convergence of the proposed time-discrete formulation are investigated, theoretically. Then, the spatial direction is approximated by the IRBFs methodology. In this approach, the largest-order derivative is approximated by a linear combination of RBFs and then the lower-order derivative and also the unknown function are constructed by repeated integration. According to this procedure, the existing derivatives in the main fractional PDE are approximated smoothly. Furthermore, to show the efficiency of the developed numerical procedure, we employed some non-rectangular computational domains to obtain the numerical results. On the other hand, the mentioned model is solved in one-two-, and three dimensional cases. The numerical results confirm the ability and efficiency of the new numerical method for solving time fractional PDEs on complex computational domains.

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“…Numerical simulations can be used to examine complex systems [ 30 , 31 , 32 ], such as the induction heating in injection molds [ 33 ]. The main aim of this research was to use numerical simulations to investigate the influence of the presence of a magnetic concentrator along with inductor configuration on the heating process in the injection molding process.…”

Section: Introductionmentioning

confidence: 99%

Application of Magnetic Concentrator for Improvement in Rapid Temperature Cycling Technology

2020

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The main method to improve the filling of the cavity by the polymer melt is to increase the mold temperature. Rapid temperature cycling (RTC) technologies have been used around the world for several years, improving the quality of injection molded parts with a slight extension of production time. The present work focuses on the application of induction heating technology in the injection molding process since it is the most effective and most intensively developing method of heating in modern RTC technologies. In this research, the application of the induction heating process for selected surfaces was investigated with particular emphasis on the dynamics of the process. The numerical simulations were used to study the influence of the number of coils, the distance between coils and cavity surface and the mold material was examined with and without the presence of a magnetic concentrator. According to the obtained results, several crucial conclusions were made: the efficiency of heating is directly correlated with the distance between the inductor and the mold surface, the presence of magnetic flux concentrator significantly improves the homogeneity of temperature distribution and heating efficiency, application of aluminum mold lowers the obtained surface temperature.

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An adaptive multilevel Monte Carlo algorithm for the stochastic drift–diffusion–Poisson system

Cited by 28 publications

References 34 publications

Frequency dependence of dielectrophoresis fabrication of single-walled carbon nanotube field-effect transistor

Frequency dependence of dielectrophoresis fabrication of single-walled carbon nanotube field-effect transistor

Integrated radial basis functions to simulate modified anomalous sub‐diffusion equation

Application of Magnetic Concentrator for Improvement in Rapid Temperature Cycling Technology

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