Abstract
The time relaxation behavior of the solutions of certain classes of discrete master equations is studied in the limit of an infinite number of states. Depending on the range of the transition matrix, a relaxation behavior is found reaching from at −1/2 law for short range, over enhanced relaxation to an exponential relaxation for the extreme long-range case. The behavior in the limit of a continuous family of states is also discussed.
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Vigfusson, J.O. Time relaxation of the solutions of master equations for large systems. J Stat Phys 27, 339–353 (1982). https://doi.org/10.1007/BF01008942
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DOI: https://doi.org/10.1007/BF01008942