An Analytical Transport Model for Nanomaterials

Sia, Paolo Di

doi:10.1166/jctn.2011.1663

Cited by 18 publications

(9 citation statements)

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“…A recent theoretical analytical formulation showed to fit very well experimental scientific data and offers interesting new predictions of various peculiarities in nanostructures [22][23][24].…”

Section: A New Derived Modelmentioning

confidence: 99%

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A New Analytical Model for the Analysis of Economic Processes

Sia¹

2013

TEL

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In this work it is presented a new powerful model, well checked in the last years with the analysis of the dynamics of nano-bio-structures. The model permits the detailed study of the dynamical evolution of systems also at macro-level, offering analytical relations concerning the velocity and the distance of an economic variable, so as its diffusion in time; it permits the analysis of economic processes in general. In this paper it will be focused in particular about economic cycles.

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Section: A New Derived Modelmentioning

confidence: 99%

“…Equations ( interesting peculiarities of the model is the "time domain" used approach, not previously found in such a contest, contrarily to the existing theoretical approaches of literature, which are "frequency domain" treatments and/or numerical methods [22][23][24].…”

Section: T  V Vmentioning

confidence: 99%

A New Analytical Model for the Analysis of Economic Processes

Sia¹

2013

TEL

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“…and the diffusion coefficient D [8]. It avoids time-consuming numerical and/or simulation procedures, is mathematically very elegant and useful both for the study of new devices with desired characteristics and for testing and/or obtaining new values by existing experimental data.…”

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confidence: 99%

Advances in Analytical Modelling for Nano-Bio-Technology

Sia¹

2015

J Nanosci Adv Tech

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Nano-bio-technology is one of the most important mainstreams of current world research; improvements in creation and increase of nano-devices performance are a primary objective of pure research and applied technology. The devices sensitivity is an essential characteristic, for determining a great increase of their quality; various ideas and techniques are considered in this direction. A new appeared theoretical analytical model for the study of transport dynamics is able to accommodate previously not completely understood behaviours and indicates precise ways for calibrate and improve the device performance.

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“…We observe that, according to the equations of our model [8,9], the correlation function of velocities is never a single decreasing exponential of time, but it is in general a more complicated combination of exponentials, or an oscillating function of time.…”

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confidence: 99%

“…In summary, we have evaluated the correlation functions for systems for which the Drude–Lorentz model is valid through the formulation of a new Drude–Lorentz-like model [8,9], in which such functions can be obtained as complete Fourier transform of the real part of the frequency-dependent complex conductivity σ ( ω ). From our results we deduce some important consequences connected with the nanometric film systems, in particular the possibility of a fast response of the transport of charge carriers with a direct consequence for the efficiencies of present devices based on such systems.…”

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confidence: 99%

A High Diffusive Model for Nanomaterials

Sia

Dallacasa

2010

Nanoscale Res Lett

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Considerable attention is today devoted to the engineering of films widely used in photocatalytic, solar energy converters, photochemical and photoelectrochemical cells, dye-sensitized solar cells (DSSCs), to optimize electronic time response following photogeneration. However, the precise nature of transport processes in these systems has remained unresolved. To investigate such aspects of carrier dynamics, we have suggested a model for the calculation of correlation functions, expressed as the Fourier transform of the frequency-dependent complex conductivity σ(ω). Results are presented for the velocity correlation functions, the mean square deviation of position and the diffusion coefficient in systems, like TiO2 and doped Si, of large interest in present devices. Fast diffusion occurs in short time intervals of the order of few collision times. Consequences for efficiency of this fast response are discussed in relation to nanostructured devices.

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An Analytical Transport Model for Nanomaterials

Cited by 18 publications

References 0 publications

A New Analytical Model for the Analysis of Economic Processes

A New Analytical Model for the Analysis of Economic Processes

Advances in Analytical Modelling for Nano-Bio-Technology

A High Diffusive Model for Nanomaterials

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