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Author |
Van de Put, M.L.; Sorée, B.; Magnus, W. |
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Title |
Efficient solution of the Wigner-Liouville equation using a spectral decomposition of the force field |
Type |
A1 Journal article |
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Year  |
2017 |
Publication |
Journal of computational physics |
Abbreviated Journal |
J Comput Phys |
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Volume |
350 |
Issue |
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Pages |
314-325 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
The Wigner-Liouville equation is reformulated using a spectral decomposition of the classical force field instead of the potential energy. The latter is shown to simplify the Wigner-Liouville kernel both conceptually and numerically as the spectral force Wigner-Liouville equation avoids the numerical evaluation of the highly oscillatory Wigner kernel which is nonlocal in both position and momentum. The quantum mechanical evolution is instead governed by a term local in space and non-local in momentum, where the non locality in momentum has only a limited range. An interpretation of the time evolution in terms of two processes is presented; a classical evolution under the influence of the averaged driving field, and a probability-preserving quantum-mechanical generation and annihilation term. Using the inherent stability and reduced complexity, a direct deterministic numerical implementation using Chebyshev and Fourier pseudo-spectral methods is detailed. For the purpose of illustration, we present results for the time evolution of a one-dimensional resonant tunneling diode driven out of equilibrium. (C) 2017 Elsevier Inc. All rights reserved. |
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Publisher |
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Place of Publication |
New York |
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Wos |
000413379000016 |
Publication Date |
2017-09-02 |
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Edition |
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ISSN |
0021-9991 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
2.744 |
Times cited |
5 |
Open Access |
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Notes |
; ; |
Approved |
Most recent IF: 2.744 |
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Call Number |
UA @ lucian @ c:irua:146630 |
Serial |
4780 |
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Author |
Stosic, D.; Stosic, D.; Ludermir, T.; Stosic, B.; Milošević, M.V. |
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Title |
GPU-advanced 3D electromagnetic simulations of superconductors in the Ginzburg-Landau formalism |
Type |
A1 Journal article |
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Year |
2016 |
Publication |
Journal of computational physics |
Abbreviated Journal |
J Comput Phys |
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Volume |
322 |
Issue |
322 |
Pages |
183-198 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
Ginzburg-Landau theory is one of the most powerful phenomenological theories in physics, with particular predictive value in superconductivity. The formalism solves coupled nonlinear differential equations for both the electronic and magnetic responsiveness of a given superconductor to external electromagnetic excitations. With order parameter varying on the short scale of the coherence length, and the magnetic field being long-range, the numerical handling of 3D simulations becomes extremely challenging and time-consuming for realistic samples. Here we show precisely how one can employ graphics-processing units (GPUs) for this type of calculations, and obtain physics answers of interest in a reasonable time-frame – with speedup of over 100x compared to best available CPU implementations of the theory on a 2563grid. (C) 2016 Elsevier Inc. All rights reserved. |
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Corporate Author |
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Publisher |
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Place of Publication |
New York |
Editor |
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Wos |
000381585100010 |
Publication Date |
2016-06-28 |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0021-9991 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
2.744 |
Times cited |
4 |
Open Access |
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Notes |
; This work was supported through research grants from Brazilian agencies CNPq (306719/2012-6, 140840/2016-8) and FACEPE (IBPG-0510-1.03/15), BOF-UA, and the Research Foundation-Flanders (FWO-Vlaanderen). ; |
Approved |
Most recent IF: 2.744 |
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Call Number |
UA @ lucian @ c:irua:137115 |
Serial |
4354 |
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| Permanent link to this record |
