Universiteit Utrecht

Department of Mathematics


Cooperative sequential adsorption and related sequential Markov point processes



Vadim Shcherbakov, CWI, 2 March, 2005

Models such as monomer filling with nearest-neighbour cooperative effects are widely used in statistical physics and chemistry for studing of adsorption processes. The main peculiarity of these processes is that adsorption of a new particle is influenced by locations of previously adsorbed particles. Our aim is to place these models into the framework of Markov point processes and to perform a systematic study of their spatial structure. The problem is that a process state can not be represented by an "unordered set of points" as it was in the classical theory of Markov point processes. The process states now are random vectors, i.e. ordered sets of points. This circumstance leads to the notion of a sequential Markov point process. The study includes developing of Monte-Carlo samplers and methods of statistical inference for sequential Markov processes. This is joint work with Marie-Colette van Lieshout (CWI/PNA4).


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Erik Baurdoux