Herbert Spohn
(TU Munich)
23/03/2015, 14:30
In 1953 Fermi, Pasta, and Ulam, technically supported by Tsingou, run pioneering numerical simulations on nonlinearly coupled oscillators. They wanted to test whether for long times the statistics is well described by the microcanonical ensemble, in particular confirm equipartition of energy. (The numerical findings were not too encouraging). In my talk, I will explain our current...
Tadahiro Oh
(University of Edinburg)
23/03/2015, 15:15
In the this talk, we discuss the construction and related problems of the invariant Gibbs measures for Hamiltonian PDEs. We briefly go over the construction of the invariant Gibbs measures on the circle due to Bourgain '94. Then, we will describe the construction on the real line, concentrating on the defocusing nonlinear Schroedinger equation.
Dirk Deckert
(LMU Munich)
23/03/2015, 16:30
To date classical and quantum electrodynamics is missing a well-defined equation of motion. I will give a brief overview of the main obstacles and report on recent developments to overcome one of those in the model of external field QED. In particular, I will discuss how an evolution for the Dirac sea subject to an external electromagnetic four-potential can be constructed that is free of...
39.
Effective dynamics of a tracer-particle coupled to the ideal Fermi gas in the high-density limit
David Mitrouskas
(LMU Munich)
23/03/2015, 17:15
A tracer-particle coupled to the ideal Fermi gas in two spatial dimensions is considered. We prove that the time evolution of the system converges to the free dynamics in the high-density limit. Eventually, we explain why this can be understood in the sense of a mean field result despite the absence of a weak coupling parameter.
Antoine Tilloy
(Laboratoire de Physique Théorique, Ecole Normale Supérieure)
23/03/2015, 17:35
Quantum systems subjected to a continuous monitoring can be described by a diffusive stochastic differential equation. However, in the limit where the measurement rate becomes large, the system evolution starts to be effectively discontinuous with Poisson like jumps between the eigenvectors of the measure. The limiting regime can be precisely described and the transition rates computed....