Seminar "Methods of Statistical Physics"
Seminar "Methods of Statistical Physics"
Date:
31.10.2018, Wed 11:30
Venue:
1, Svientsitskii Street, room 307
Department:
Statistical theory of condensed systems
Speaker:
Krzysztof Pilorz
Affiliation:
Institute of Mathematics, Maria Curie-Skłodowska University, Lublin, Poland
Presentation title:
Coalescing random jumps in continuum: evolution of states and mesoscopic scaling
Abstract:
An individual-based model of possibly infinitely many jumping and
merging particles will be discussed. States of the model are probability
measures on configuration space of points in d-dimensional Euclidean space.
The existence and uniqueness of the evolution of states will be discussed
for the initial state being a sub-Poissonian measure. A Vlasov-type scaling
will be presented, resulting in kinetic equation and therefore giving the
mesoscopic description of the evolution.