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A one-dimensional coagulation-fragmentation process with a dynamical phase transition
one-dimensional coagulation-fragmentation process dynamical phase transition Probability
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2011/9/13
Abstract: We introduce a reversible Markovian coagulation-fragmentation process on the set of partitions of $\{1,...,L\}$ into disjoint intervals. Each interval can either split or merge with one of i...
Spatial coagulation with bounded coagulation rate
Spatial coagulation bounded coagulation rate
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2010/11/15
We prove that the spatial coagulation equation with bounded coagulation rate is well-posed for all times in a given class of kernels if the convection term of the underlying particle dynamics has div...
Classical non mass preserving solutions of coagulation equations
Classical non mass preserving solutions coagulation equations
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2010/12/6
In this paper we construct classical solutions of a family of coagulation equations with homogeneous kernels that exhibit the behaviour known as gelation. This behaviour consists
in the loss of mass ...
Brownian coagulation and a version of Smoluchowski's equation on the circle
Coagulating particle systems hydrodynamic limit Smoluchowski’s equations
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2010/12/14
We introduce a one-dimensional stochastic system where particles perform independent diffusions and interact through pairwise coagulation events, which occur at a nontrivial rate upon collision.