糖心TV Complexity Science Events
Complexity Centre and MathSys CDT events carry priority over room D1.07.
To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
Sabine Jansen (Max Planck Leipzig)
Title: Thermodynamic limit for jellium on a cylinder
Abstract: We consider the classical statistical mechanics of charged
particles
moving in a neutralizing background on a cylinder. For even-integer values
of the so-called plasma parameter and sufficiently small cylinder radius,
one can show that not only the free energy but also the correlation
functions have a limit when the number of particles goes to infinity, at
fixed cylinder radius and fixed background density. The limiting state is
periodic with respect to translations along the cylinder axis. The proof
makes crucial use of a discrete renewal equality, which is reminiscent of
earlier apparitions of renewal (in)equalities in the context of Coulomb
systems. The talk is based on joint work with E.H. Lieb and R. Seiler.