This term, all seminars take place Thursdays at 2pm, room MS.04 (Zeeman Building), unless indicated otherwise.

Schedule for

Dimitrios Tsagkarogiannis, 10.01.2008



04.05.2017 Tobias Kuna (University of Reading)
Density expansion of the truncated and the direct correlation function
Particle systems interacting via translation invariant pair potentials are among the most intractable point processes if one is outside the high temperature low activity regime (HTLAR). In particular, the liquid regime is of paramount interest in chemistry and engineering, but the available theory is phenomenological. Chemists and physicists have derived a rather satisfactory description for the thermodynamics of simple liquids which works far outside the HTLAR exploiting correlation functions and postulation relations between them based on formal expansion in the density, so called moment closures. However, it is also acknowledged that {it ``the manipulations involved in obtaining these infinite sums ... have been carried out in a purely formal way and we have not examined the important but difficult questions of convergence and the legitimacy of the rearrangement of terms”} even in HTLAR. Mathematically the difficulty is to find for a sum $e^{n^2}$ terms (each of them an $n$-dimensional integral) a bound of order $e^{nln(n)}$. The classical technique of cluster expansion of abstract polymer models enables us to achieve this. The cluster expansion in the canonical ensemble is recalled. The correlation and in particular the direct correlation lead to an expansion in terms for graphs of a different combinatorial nature which cannot be treated in the same way as the previous cases considered in the canonical ensemble. The cancelation, which are of combinatorial nature, have to hold exactly to make this estimation possible. This is joint work with Dimitrios Tsagkarogiannis.
Contact: Daniel

18.05.2017 Nikos Fytas (Coventry University)
Phase transitions in disordered systems: The example of the random-field Ising model
Contact: Nikos


08.06.2017 Sasha Sodin (Queen Mary University)

Contact: Nikos
15.06.2017 Atilla Yilmaz (Koc)

Contact: Nikos