Time evolution in isolated non-equilibrium systems: The Pauli master equation revisited

2005 ◽  
pp. 306-313
Author(s):  
Abraham Nitzan ◽  
Benny Carmeli
Keyword(s):  
Master Equation ◽  
Time Evolution ◽  
Pauli Master Equation ◽  
Non Equilibrium

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.

The role of non-equilibrium fluxes in the relaxation processes of the linear chemical master equation

2014 ◽  
Vol 141 (6) ◽  
pp. 065102 ◽  
Author(s):  
Luciana Renata de Oliveira ◽  
Armando Bazzani ◽  
Enrico Giampieri ◽  
Gastone C. Castellani
Keyword(s):  
Master Equation ◽  
Chemical Master Equation ◽  
Relaxation Processes ◽  
Non Equilibrium

INTRINSIC FLUCTUATION OF CHUA SYSTEM

2004 ◽  
Vol 14 (09) ◽  
pp. 3269-3275
Author(s):  
QIAN SHU LI ◽  
AI ZHONG LEI
Keyword(s):  
Master Equation ◽  
Time Evolution ◽  
Intrinsic Noise ◽  
Equation Method ◽  
Considerable Influence ◽  
Deterministic Equation ◽  
Intrinsic Fluctuation

Intrinsic fluctuation of Chua system is studied with master equation method. Our results have shown that the intrinsic noise indeed exerted considerable influence on Chua system. In contrast to that of deterministic equation the patterns of time evolution and attractor have been greatly altered under the influence of intrinsic noise.

A reaction model on the self-assembly process of octahedron-shaped coordination capsules

2017 ◽  
Vol 19 (31) ◽  
pp. 20338-20342 ◽  
Author(s):  
Yoshihiro Matsumura ◽  
Shuichi Hiraoka ◽  
Hirofumi Sato
Keyword(s):  
Master Equation ◽  
Time Evolution ◽  
Self Assembly ◽  
Reaction Model ◽  
The Self ◽  
Assembly Process

Master equation was utilized to track the time evolution in a self-assembly process.

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