scholarly journals General solution of Pauli master equation and applications to diffusive transport

Surface ◽  
2018 ◽  
Vol 10(25) ◽  
pp. 3-18 ◽  
Author(s):  
T. E. Korochkova ◽  
◽  
N. G. Shkoda ◽  
V. M. Rozenbaum ◽  
Yu. A. Kamysh ◽  
...  
Keyword(s):  
General Solution ◽  
Master Equation ◽  
Diffusive Transport ◽  
Pauli Master Equation

scholarly journals The Influence of Morphology on the Charge Transport in Two-Phase Disordered Organic Systems

2015 ◽  
Vol 1737 ◽  
Author(s):  
Cristiano F. Woellner ◽  
Leonardo D. Machado ◽  
Pedro A. S. Autreto ◽  
José A. Freire ◽  
Douglas S. Galvão
Keyword(s):  
Charge Transport ◽  
Master Equation ◽  
Carrier Mobility ◽  
Three Dimensional ◽  
Domain Size ◽  
Threshold Field ◽  
Phase System ◽  
Two Phase ◽  
Donor Acceptor ◽  
Pauli Master Equation

ABSTRACTIn this work we use a three-dimensional Pauli master equation to investigate the charge carrier mobility of a two-phase system, which can mimic donor-acceptor and amorphous-crystalline bulk heterojunctions. Our approach can be separated into two parts: the morphology generation and the charge transport modeling in the generated blend. The morphology part is based on a Monte Carlo simulation of binary mixtures (donor/acceptor). The second part is carried out by numerically solving the steady-state Pauli master equation. By taking the energetic disorder of each phase, their energy offset and domain morphology into consideration, we show that the carrier mobility can have a significant different behavior when compared to a one-phase system. When the energy offset is non-zero, we show that the mobility electric field dependence switches from negative to positive at a threshold field proportional to the energy offset. Additionally, the influence of morphology, through the domain size and the interfacial roughness parameters, on the transport was also investigated.

scholarly journals THE RELATIONS BETWEEN GENERALIZED FIELDS AND SUPERFIELDS FORMALISMS OF THE BATALIN–VILKOVISKY METHOD OF QUANTIZATION

2004 ◽  
Vol 19 (14) ◽  
pp. 2339-2353 ◽  
Author(s):  
ÖMER F. DAYI
Keyword(s):  
General Solution ◽  
Master Equation ◽  
Gauge Theories ◽  
Relativistic Particle ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Yang Mills ◽  
Topological Quantum ◽  
Topological Quantum Field Theories

A general solution of the Batalin–Vilkovisky master equation was formulated in terms of generalized fields. Recently, a superfields approach of obtaining solutions of the Batalin–Vilkovisky master equation is also established. Superfields formalism is usually applied to topological quantum field theories. However, generalized fields method is suitable to find solutions of the Batalin–Vilkovisky master equation either for topological quantum field theories or the usual gauge theories like Yang–Mills theory. We show that by truncating some components of superfields with appropriate actions, generalized fields formalism of the usual gauge theories result. We demonstrate that for some topological quantum field theories and the relativistic particle both of the methods possess the same field contents and yield similar results. Inspired by the observed relations, we give the solution of the BV master equation for on-shell N=1 supersymmetric Yang–Mills theory utilizing superfields.

Generalized Pauli master equation for a quantum dynamic system in an external field

1994 ◽  
Vol 185 (3) ◽  
pp. 343-348 ◽  
Author(s):  
I.A. Goychuk ◽  
E.G. Petrov ◽  
V.I. Teslenko
Keyword(s):  
External Field ◽  
Dynamic System ◽  
Master Equation ◽  
Quantum Dynamic ◽  
Pauli Master Equation

Numerical simulations of the role of a ferroelectric polymer interfacial layer in organic solar cells

2016 ◽  
Vol 18 (7) ◽  
pp. 5412-5418
Author(s):  
Bo Liu ◽  
Feng Xu ◽  
Xinghua Zhang ◽  
Dadong Yan ◽  
Dan Lu
Keyword(s):  
Solar Cells ◽  
Master Equation ◽  
Organic Solar Cells ◽  
Interfacial Layer ◽  
Vinylidene Fluoride ◽  
Bulk Heterojunction ◽  
Interfacial Layers ◽  
Polymer Bulk ◽  
Pauli Master Equation

A Pauli master equation method is adopted for the simulation of polymer bulk heterojunction (BHJ) solar cells with vinylidene fluoride–trifluoroethylene copolymer (P(VDF–TrFE)) films as interfacial layers.

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