Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations
Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorith...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Sabelfeld, Karl K. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer International Publishing Switzerland 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical chemistry - Springer International Publishing, 1987, 53(2015), 2 vom: 03. Jan., Seite 651-669 |
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| Übergeordnetes Werk: |
volume:53 ; year:2015 ; number:2 ; day:03 ; month:01 ; pages:651-669 |
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| DOI / URN: |
10.1007/s10910-014-0446-6 |
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OLC206042061X |
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| 520 | |a Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. | ||
| 650 | 4 | |a Fluctuation-limited reactions | |
| 650 | 4 | |a Reaction–diffusion kinetics | |
| 650 | 4 | |a Electron-hole kinetics | |
| 650 | 4 | |a Photoluminescence | |
| 650 | 4 | |a Nonradiative recombination | |
| 650 | 4 | |a Smoluchowski equation | |
| 700 | 1 | |a Brandt, Oliver |4 aut | |
| 700 | 1 | |a Kaganer, Vladimir M. |4 aut | |
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10.1007/s10910-014-0446-6 doi (DE-627)OLC206042061X (DE-He213)s10910-014-0446-6-p DE-627 ger DE-627 rakwb eng 510 540 VZ Sabelfeld, Karl K. verfasserin aut Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International Publishing Switzerland 2015 Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. Fluctuation-limited reactions Reaction–diffusion kinetics Electron-hole kinetics Photoluminescence Nonradiative recombination Smoluchowski equation Brandt, Oliver aut Kaganer, Vladimir M. aut Enthalten in Journal of mathematical chemistry Springer International Publishing, 1987 53(2015), 2 vom: 03. Jan., Seite 651-669 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:53 year:2015 number:2 day:03 month:01 pages:651-669 https://doi.org/10.1007/s10910-014-0446-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4012 AR 53 2015 2 03 01 651-669 |
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10.1007/s10910-014-0446-6 doi (DE-627)OLC206042061X (DE-He213)s10910-014-0446-6-p DE-627 ger DE-627 rakwb eng 510 540 VZ Sabelfeld, Karl K. verfasserin aut Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International Publishing Switzerland 2015 Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. Fluctuation-limited reactions Reaction–diffusion kinetics Electron-hole kinetics Photoluminescence Nonradiative recombination Smoluchowski equation Brandt, Oliver aut Kaganer, Vladimir M. aut Enthalten in Journal of mathematical chemistry Springer International Publishing, 1987 53(2015), 2 vom: 03. Jan., Seite 651-669 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:53 year:2015 number:2 day:03 month:01 pages:651-669 https://doi.org/10.1007/s10910-014-0446-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4012 AR 53 2015 2 03 01 651-669 |
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10.1007/s10910-014-0446-6 doi (DE-627)OLC206042061X (DE-He213)s10910-014-0446-6-p DE-627 ger DE-627 rakwb eng 510 540 VZ Sabelfeld, Karl K. verfasserin aut Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International Publishing Switzerland 2015 Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. Fluctuation-limited reactions Reaction–diffusion kinetics Electron-hole kinetics Photoluminescence Nonradiative recombination Smoluchowski equation Brandt, Oliver aut Kaganer, Vladimir M. aut Enthalten in Journal of mathematical chemistry Springer International Publishing, 1987 53(2015), 2 vom: 03. Jan., Seite 651-669 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:53 year:2015 number:2 day:03 month:01 pages:651-669 https://doi.org/10.1007/s10910-014-0446-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4012 AR 53 2015 2 03 01 651-669 |
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10.1007/s10910-014-0446-6 doi (DE-627)OLC206042061X (DE-He213)s10910-014-0446-6-p DE-627 ger DE-627 rakwb eng 510 540 VZ Sabelfeld, Karl K. verfasserin aut Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International Publishing Switzerland 2015 Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. Fluctuation-limited reactions Reaction–diffusion kinetics Electron-hole kinetics Photoluminescence Nonradiative recombination Smoluchowski equation Brandt, Oliver aut Kaganer, Vladimir M. aut Enthalten in Journal of mathematical chemistry Springer International Publishing, 1987 53(2015), 2 vom: 03. Jan., Seite 651-669 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:53 year:2015 number:2 day:03 month:01 pages:651-669 https://doi.org/10.1007/s10910-014-0446-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4012 AR 53 2015 2 03 01 651-669 |
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10.1007/s10910-014-0446-6 doi (DE-627)OLC206042061X (DE-He213)s10910-014-0446-6-p DE-627 ger DE-627 rakwb eng 510 540 VZ Sabelfeld, Karl K. verfasserin aut Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International Publishing Switzerland 2015 Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. Fluctuation-limited reactions Reaction–diffusion kinetics Electron-hole kinetics Photoluminescence Nonradiative recombination Smoluchowski equation Brandt, Oliver aut Kaganer, Vladimir M. aut Enthalten in Journal of mathematical chemistry Springer International Publishing, 1987 53(2015), 2 vom: 03. Jan., Seite 651-669 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:53 year:2015 number:2 day:03 month:01 pages:651-669 https://doi.org/10.1007/s10910-014-0446-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4012 AR 53 2015 2 03 01 651-669 |
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Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations |
| abstract |
Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. © Springer International Publishing Switzerland 2015 |
| abstractGer |
Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. © Springer International Publishing Switzerland 2015 |
| abstract_unstemmed |
Abstract To describe the annihilation of spatially separate electrons and holes in a disordered semiconductor, we suggest the use of a model based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. Furthermore, we present a Monte Carlo algorithm for solving this equation. Our approach provides a general method for the computation of the electron-hole kinetics in inhomogeneous media, taking into account both their radiative and nonradiative recombination by tunneling as well as their diffusion. To validate the simulation algorithm, we compare our model with a more general approach based on a statistical description and the Kirkwood closure of the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy equations. A comparison with recent experimental results is also discussed. © Springer International Publishing Switzerland 2015 |
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Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations |
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Brandt, Oliver Kaganer, Vladimir M. |
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10.1007/s10910-014-0446-6 |
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