Convergence of high order memory kernels in the Nakajima-Zwanzig generalized master equation and rate constants: Case study of the spin-boson model

2018 ◽  
Vol 148 (16) ◽  
pp. 164101 ◽  
Author(s):  
Meng Xu ◽  
Yaming Yan ◽  
Yanying Liu ◽  
Qiang Shi
Keyword(s):  
Master Equation ◽  
Rate Constants ◽  
High Order ◽  
Boson Model ◽  
Generalized Master Equation

scholarly journals Stepwise introduction of model complexity in a generalized master equation approach to time-dependent transport

2012 ◽  
Vol 61 (2-3) ◽  
pp. 305-316 ◽  
Author(s):  
V. Gudmundsson ◽  
O. Jonasson ◽  
Th. Arnold ◽  
C-S. Tang ◽  
H.-S. Goan ◽  
...  
Keyword(s):  
Master Equation ◽  
Time Dependent ◽  
Model Complexity ◽  
Equation Approach ◽  
Master Equation Approach ◽  
Dependent Transport ◽  
Generalized Master Equation

scholarly journals BRST Formulation of Partition Function Constraints

1997 ◽  
Vol 12 (15) ◽  
pp. 1119-1126 ◽  
Author(s):  
Jorge Alfaro ◽  
Klaus Bering ◽  
Poul H. Damgaard
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Master Equation ◽  
High Order ◽  
Generating Functional ◽  
Nilpotent Operators ◽  
External Sources

We show that the constraints on the generating functional have direct BRST-extensions in terms of nilpotent operators Δ that annihilate this generating functional, and which may be of arbitrarily high order. The free energy F in the presence of external sources thus satisfies a "Master Equation" which is described in terms of a tower of higher antibrackets.

Compact solution to the generalized master equation

1990 ◽  
Vol 41 (6) ◽  
pp. 3369-3371
Author(s):  
Lyndon M. Alvero ◽  
Jose A. Magpantay
Keyword(s):  
Master Equation ◽  
Generalized Master Equation
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