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Towards a Unified Macroscopic Description of Exciton Diffusion in Organic Semiconductors

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems Probabilistic methods, simulation and stochastic differential equations Stochastic processes Chemistry Equations of mathematical physics and other areas of application Partial differential equations, boundary value problems

Published online by Cambridge University Press:  31 August 2016

Jingrun Chen ,
Jason D. A. Lin  and
Thuc-Quyen Nguyen
Jingrun Chen*
Affiliation:
Mathematical Center for Interdisciplinary Research and School of Mathematical Sciences, Soochow University, Suzhou, China; Mathematics Department, University of California, Santa Barbara, CA93106, USA
Jason D. A. Lin*
Affiliation:
Center for Polymers and Organic Solids, Department of Chemistry and Biochemistry, University of California, Santa Barbara, CA 93106, USA
Thuc-Quyen Nguyen*
Affiliation:
Center for Polymers and Organic Solids, Department of Chemistry and Biochemistry, University of California, Santa Barbara, CA 93106, USA
*
*Corresponding author. Email addresses:jingrunchen@suda.edu.cn (J. Chen), nilnosaj5891@gmail.com (J. Lin), quyen@chem.ucsb.edu (T.-Q. Nguyen)
*Corresponding author. Email addresses:jingrunchen@suda.edu.cn (J. Chen), nilnosaj5891@gmail.com (J. Lin), quyen@chem.ucsb.edu (T.-Q. Nguyen)
*Corresponding author. Email addresses:jingrunchen@suda.edu.cn (J. Chen), nilnosaj5891@gmail.com (J. Lin), quyen@chem.ucsb.edu (T.-Q. Nguyen)
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Abstract

We study the exciton diffusion in organic semiconductors from a macroscopic viewpoint. In a unified way, we conduct the equivalence analysis between Monte-Carlo method and diffusion equation model for photoluminescence quenching and photocurrent spectrum measurements, in both the presence and the absence of Förster energy transfer effect. Connections of these two models to Stern-Volmer method and exciton-exciton annihilation method are also specified for the photoluminescence quenching measurement.

Keywords

Exciton diffusionphotoluminescence quenchingphotocurrent spectrum

MSC classification

Secondary: 35Q99: None of the above, but in this section 60G99: None of the above, but in this section 65C05: Monte Carlo methods 65M99: None of the above, but in this section 65N99: None of the above, but in this section 92E99: None of the above, but in this section

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 20 , Issue 3 , September 2016 , pp. 754 - 772
Copyright
Copyright © Global-Science Press 2016 

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