Summary
Motions of one-dimensional infinite particle systems are considered where the dynamics is given by systems of ordinary differential equations of first order. The aim of the paper is to show that under certain assumptions about the system of differential equations the distribution law P tof the particle system at time t becomes more and more regular under the influence of such an interaction. Moreover, P tis tending weakly toward a distribution describing a random particle system with equal successive spacings.
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Fichtner, K.H., Freudenberg, W. Asymptotic behaviour of time evolutions of infinite particle systems. Z. Wahrscheinlichkeitstheorie verw Gebiete 54, 141–159 (1980). https://doi.org/10.1007/BF00531445
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DOI: https://doi.org/10.1007/BF00531445