ISSN:
1572-9613
Keywords:
Open systems with infinite variety of splitting particles
;
branching
;
renewal theory equation
;
steady state
;
particle density
;
Malthus parameter
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Systems with an infinite variety of types of splitting particles are investigated. It is shown that if there is a stationary source of particles but no sink, a steady state with finite density of each species is nevertheless possible due to the infinite number of degrees of freedom. It is demonstrated that the limiting (steady) state is independent of the initial state of the system. Typical features of the steady state, which do not depend on the particle splitting law, are shown.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01041078
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