Statistical treatment of open systems by generalized master equations

1973 ◽  
pp. 98-168 ◽  
Author(s):  
Fritz Haake
Keyword(s):  
Open Systems ◽  
Statistical Treatment ◽  
Master Equations ◽  
Generalized Master Equations

THE RECONSTRUCTION OF THE FOKKER-PLANCK AND MASTER EQUATIONS ON THE BASIS OF EXPERIMENTAL DATA: H-THEOREM AND S-THEOREM

1993 ◽  
Vol 03 (01) ◽  
pp. 119-129 ◽  
Author(s):  
Yu. L. KLIMONTOVICH
Keyword(s):  
Open Systems ◽  
Kinetic Equations ◽  
Master Equations ◽  
Stationary States ◽  
Control Parameters ◽  
Experimental Time Series ◽  
H Theorem ◽  
The Mean ◽  
The Given ◽  
Fokker Planck

The method of reconstruction of Fokker-Planck and Master equations for nonlinear open systems on the basis of experimental time series is considered. In the process of time evolution the entropy of a system, renormalized to the given value of the mean effective energy, increases in accordance with the kinetic equations (H-theorem). The evolution of the renormalized entropy of stationary states in the space of rule (control) parameters is also considered (S-theorem).

On the derivation of generalized master equations

Physica ◽  
1966 ◽  
Vol 32 (11-12) ◽  
pp. 2007-2016 ◽  
Author(s):  
P.M. Mathews
Keyword(s):  
Master Equations ◽  
Generalized Master Equations
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