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Anomalous thresholds and edge singularities in electrical impedance tomography (1996)

Ciulli, S. ; Ispas, S. ; Pidcock, M. K.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 37 (1996), S. 4388-4417

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Studies of models of current flow behaviour in electrical impedance tomography (EIT) have shown that the current density distribution varies extremely rapidly near the edge of the electrodes used in the technique. This behaviour imposes severe restrictions on the numerical techniques used in image reconstruction algorithms. In this paper we have considered a simple two dimensional case and we have shown how the theory of end point/pinch singularities which was developed for studying the anomalous thresholds encountered in elementary particle physics can be used to give a complete description of the analytic structure of the current density near to the edge of the electrodes. As a byproduct of this study it was possible to give a complete description of the Riemann sheet manifold of the eigenfunctions of the logarithmic kernel. These methods can be readily extended to other weakly singular kernels. © 1996 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.531637

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Model of silica glass from combined classical and ab initio molecular-dynamics simulations (2000)

Benoit, M. ; Ispas, S. ; Jund, P. ; [et al.]

Springer

The European physical journal 13 (2000), S. 631-636

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ISSN: 1434-6036

Keywords: PACS. 61.43.Fs Glasses - 71.15.Pd Molecular dynamics calculations (Car-Parrinello) and other numerical simulations - 61.43.Bn Structural modeling: serial-addition models, computer simulation

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract: A Car-Parrinello (CP) molecular dynamics simulation of vitreous silica, combined with classical molecular dynamics, is presented. The equilibration of the liquid, quench and relaxation of the glass are performed classically using the van Beest, Kramer and van Santen (BKS) potential [12] and the resulting configuration (coordinates and velocities) is used as input for the CP simulation. A remarkable stability of the CP dynamics is observed justifying this procedure and validating the BKS potential. Several structural and electronic properties are calculated and compared with experiments.