Articles with "analytical expression" as a keyword



A fractional motion diffusion model for a twice‐refocused spin‐echo pulse sequence

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Published in 2018 at "NMR in Biomedicine"

DOI: 10.1002/nbm.3960

Abstract: The purpose of this study was to develop an analytical expression for a fractional motion (FM) diffusion model to characterize diffusion‐induced signal attenuation in a twice‐refocused spin‐echo (TRSE) sequence that is resilient to eddy currents,… read more here.

Keywords: analytical expression; diffusion; model; fractional motion ... See more keywords

Analytical expression for variance of homogeneous-position quantum walk with decoherent position

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Published in 2018 at "Quantum Information Processing"

DOI: 10.1007/s11128-017-1802-9

Abstract: We have derived an analytical expression for variance of homogeneous-position decoherent quantum walk with general form of noise on its position, and have shown that, while the quadratic ($$t^2$$t2) term of variance never changes by… read more here.

Keywords: analytical expression; position; expression variance; variance ... See more keywords

Analytical expression for exciton energies in monolayer transition metal dichalcogenides

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Published in 2024 at "Physical Review B"

DOI: 10.1103/physrevb.111.035443

Abstract: We derive an analytical expression for $s$-state exciton energies in monolayer transition-metal dichalcogenides (TMDCs): $E_{\text{ns}}=-{\text{Ry}}^*\times P_n/{(n-1/2+0.479\, r^*_0/\kappa)^2}$, $n=1,2,...$, where $r^*_0$ and $\kappa$ are the dimensionless screening length and dielectric constant of the surrounding medium; $\text{Ry}^*$… read more here.

Keywords: exciton; transition metal; energies monolayer; exciton energies ... See more keywords

Analytical Expression for Resonances of an Inhomogeneous, Radial, Lossless LC Network

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Published in 2019 at "IEEE Transactions on Power Delivery"

DOI: 10.1109/tpwrd.2018.2881771

Abstract: This paper is a sequel to the authors’ previous work wherein an analytical expression was derived for the harmonic sum of squares of natural frequencies of a lossless LC ladder network, which is a widely… read more here.

Keywords: expression; analytical expression; expression resonances; lossless ... See more keywords
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Analytical Expression of Complex Modulus for Viscoelastic Material

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Published in 2020 at "International Journal of Applied Mechanics"

DOI: 10.1142/s1758825120500489

Abstract: Transfer functions in the linear dynamic system theory are applied to characterize dynamic mechanical properties of viscoelastic materials. Correlation between transfer functions and typical rheolo... read more here.

Keywords: analytical expression; modulus viscoelastic; viscoelastic material; expression complex ... See more keywords