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Stefan Grosskinsky Watthanan Jatuviriyapornchai 《Stochastic Processes and their Applications》2019,129(4):1455-1475
We study stochastic particle systems on a complete graph and derive effective mean-field rate equations in the limit of diverging system size, which are also known from cluster aggregation models. We establish the propagation of chaos under generic growth conditions on particle jump rates, and the limit provides a master equation for the single site dynamics of the particle system, which is a non-linear birth death chain. Conservation of mass in the particle system leads to conservation of the first moment for the limit dynamics, and to non-uniqueness of stationary distributions. Our findings are consistent with recent results on exchange driven growth, and provide a connection between the well studied phenomena of gelation and condensation. 相似文献
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Jatuviriyapornchai Watthanan Chleboun Paul Grosskinsky Stefan 《Journal of statistical physics》2020,178(3):682-710
Journal of Statistical Physics - We establish a complete picture of condensation in the inclusion process in the thermodynamic limit with vanishing diffusion, covering all scaling regimes of the... 相似文献
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