First assembly times and equilibration in stochastic coagulation-fragmentation
نویسندگان
چکیده
منابع مشابه
First assembly times and equilibration in stochastic coagulation-fragmentation.
We develop a fully stochastic theory for coagulation and fragmentation (CF) in a finite system with a maximum cluster size constraint. The process is modeled using a high-dimensional master equation for the probabilities of cluster configurations. For certain realizations of total mass and maximum cluster sizes, we find exact analytical results for the expected equilibrium cluster distributions...
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We develop a fully stochastic theory for coagulation and fragmentation in a finite system with a maximum cluster size constraint. The process is modeled using a high-dimensional Master equation for the probabilities of cluster configurations. For certain realizations of total mass and maximum cluster sizes, we are able to find exact analytical results for the expected equilibrium cluster distri...
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Motivated by nucleation and molecular aggregation in physical, chemical, and biological settings, we present a thorough analysis of the general problem of stochastic self-assembly of a fixed number of identical particles in a finite volume. We derive the backward Kolmogorov equation (BKE) for the cluster probability distribution. From the BKE, we study the distribution of times it takes for a s...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2015
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.4923002