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

Author(s):  
Abraham Nitzan ◽  
Benny Carmeli
2015 ◽  
Vol 1737 ◽  
Author(s):  
Cristiano F. Woellner ◽  
Leonardo D. Machado ◽  
Pedro A. S. Autreto ◽  
José A. Freire ◽  
Douglas S. Galvão

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.


2014 ◽  
Vol 141 (6) ◽  
pp. 065102 ◽  
Author(s):  
Luciana Renata de Oliveira ◽  
Armando Bazzani ◽  
Enrico Giampieri ◽  
Gastone C. Castellani

2004 ◽  
Vol 14 (09) ◽  
pp. 3269-3275
Author(s):  
QIAN SHU LI ◽  
AI ZHONG LEI

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.


2017 ◽  
Vol 19 (31) ◽  
pp. 20338-20342 ◽  
Author(s):  
Yoshihiro Matsumura ◽  
Shuichi Hiraoka ◽  
Hirofumi Sato

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


Sign in / Sign up

Export Citation Format

Share Document