Prog. Theor. Phys. Vol. 54 No. 3 (1975) pp. 700-705
Approach to Equilibrium in an Open Markov System
Department of Physics, Chuo University, Kasuga, Bunkyo-ku, Tokyo 112
(Received February 15, 1975)
Ergodic behavior is studied for a system with a finite number of elements whose populations develop in time, and form a stationary Markov process with constant flows into and run-away transitions out of the system. The “monotonic” approach to stationarity depends on three possible classes of the initial state of the system: the strictly over-populated, the strictly under-populated and the intermediate ones. The form of the H-function is also specified.
DOI : 10.1143/PTP.54.700
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