The School of Theoretical Physics, Dublin Institute for Advanced Studies will host a seminar by Alexei Rebenko on Friday 7th October at 2pm.

Title: Cell gas model of Statistical mechanics

Speaker: Alexei Rebenko (Institute of Mathematics, Kiev)

Abstract: A variant of cell gas model  which is an approximation of the continuous classical gas is proposed. Cell gas (CG) model for continuous classical system of interacting point particles is defined as follows. For a given partition of the space R^d into an infinite set of mutually disjoint hypercubes with edges a every point of a phase space of an infinite particle system is a configuration in which every hypercube Delta contains no more than one particle. We present a structure of measurable sets of the configuration space and show that for strong superstable interaction the pressure, free energy and correlation functions of the system pointwise converge to the corresponding values of the conventional continuous system if the edges a of cubes Delta a tends to zero. We also define lattice gas (LG) model which approximates the CG model and thus provides a continuous transition LG model in the model of continuous gas.

Time: 2pm, Friday 7th October 2016.

Place: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS,
10 Burlington Road, Dublin 4.