Statistical treatment of open systems by generalized master equations

Springer Tracts in Modern Physics - Quantum Statistics in Optics and Solid-State Physics ◽

10.1007/bfb0044957 ◽

1973 ◽

pp. 98-168 ◽

Cited By ~ 129

Author(s):

Fritz Haake

Keyword(s):

Open Systems ◽

Statistical Treatment ◽

Master Equations ◽

Generalized Master Equations

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Statistical Treatment of Open Systems by Generalized Master Equations

Springer Tracts in Modern Physics ◽

10.1007/978-3-662-40468-3_2 ◽

1973 ◽

pp. 98-168 ◽

Cited By ~ 55

Author(s):

Fritz Haake

Keyword(s):

Open Systems ◽

Statistical Treatment ◽

Master Equations ◽

Generalized Master Equations

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On the “memory” properties of generalized master equations

Physics Letters A ◽

10.1016/0375-9601(67)90198-3 ◽

1967 ◽

Vol 24 (1) ◽

pp. 63-64 ◽

Cited By ~ 10

Author(s):

A. Fuliński

Keyword(s):

Master Equations ◽

Generalized Master Equations

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Partition technique and generalized master equations

Czechoslovak Journal of Physics ◽

10.1007/bf01590056 ◽

1984 ◽

Vol 34 (2) ◽

pp. 130-137 ◽

Cited By ~ 4

Author(s):

V. Čápek

Keyword(s):

Master Equations ◽

Generalized Master Equations ◽

Partition Technique

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Generalized master equations « exact in the born approximation »

Lettere al Nuovo Cimento ◽

10.1007/bf02746051 ◽

1975 ◽

Vol 14 (14) ◽

pp. 532-536 ◽

Cited By ~ 1

Author(s):

E. Bonifacio ◽

L. A. Lugiato

Keyword(s):

Born Approximation ◽

Master Equations ◽

Generalized Master Equations

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Generalized master equations and fractional Fokker–Planck equations from continuous time random walks with arbitrary initial conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.11.015 ◽

2017 ◽

Vol 73 (6) ◽

pp. 1315-1324 ◽

Cited By ~ 3

Author(s):

C.N. Angstmann ◽

B.I. Henry ◽

I. Ortega-Piwonka

Keyword(s):

Random Walks ◽

Continuous Time ◽

Initial Conditions ◽

Master Equations ◽

Generalized Master Equations ◽

Continuous Time Random Walks ◽

Fokker Planck Equations ◽

Fokker Planck

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Initial Condition Term and Method of Artificial Temperature for Generalized Master Equations

physica status solidi (b) ◽

10.1002/pssb.2221210149 ◽

1984 ◽

Vol 121 (1) ◽

pp. K7-K12 ◽

Cited By ~ 3

Author(s):

V. Čápek

Keyword(s):

Master Equations ◽

Initial Condition ◽

Generalized Master Equations

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On the equivalence between two generalized master equations

Physica ◽

10.1016/s0031-8914(63)80230-x ◽

1963 ◽

Vol 29 (6) ◽

pp. 721-741 ◽

Cited By ~ 45

Author(s):

P. Resibois

Keyword(s):

Master Equations ◽

Generalized Master Equations

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

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127493000088 ◽

1993 ◽

Vol 03 (01) ◽

pp. 119-129 ◽

Cited By ~ 4

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).

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