Seminars of the Focus Area Complex Systems

Prof. Dr. C. Beta, Prof. Dr. K. Dethloff, Prof. Dr. R. Engbert, Prof. Dr. M. Holschneider, Prof. Dr. W. Huisinga, Prof. Dr. Ralf Metzler, Prof. Dr. A. Pikovsky, Prof. Dr. S. Reich, Prof. Dr. M. Rosenblum, Prof. Dr. G. Rüdiger, Prof. Dr. T. Scheffer, Prof. Dr. F. Scherbaum, Prof. Dr. J. Selbig, Prof. Dr. F. Spahn

Seminar

Speaker: Hendrik Weber, Warwick, UK

Title: SPDEs, criticality, and renormalisation * Workshop Renormalisation from Quantum Field Theory to Random and Dynamical Systems, Inst. f. Mathematik

Time: Wed, Nov 6, 2013, 3pm

Place: Am Neuen Palais, bldg 9, room 1.02

Abstract:
Many models from statistical physics exhibit a behaviour called phase transition. This means that the qualitative behaviour of a system changes drastically when one changes a model parameter just a little bit. One of the most prominent examples is the Ising model where spontaneous magnetisation is observed as soon as the temperature goes below the Curie temperature. The behaviour of such a system near criticality often gives rise to interesting phenomena - long range correlations and non-Gaussian fluctuations can be observed. Sometimes such dynamics can be described by a non-linear white noise driven stochastic PDE such as the dynamic phi4d equations or the KPZ equation. The analysis of these SPDEs is somewhat involved because they often do not make sense as they stand and infinities have to be subtracted in the right way. In this colloquium I will discuss several examples of such equations, discuss formally, why they arise as scaling limits of particle systems, and show in a simple example how this renormalisation procedure can be implemented.

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Past NLD Seminars (1994-2007) & (2008 ...)

Students' seminar: Theoretical Physics, PIK, Modeling & TSA Berlin-Potsdam-Colloquia: PhysGesellschaft Berlin, TU Berlin, Pro Physik, AIP, AEI, MPI-KGF, GFZ, HMI, PIK, AWI, Max Planck Institute for the History of Science, Mathematik, DPG Disputationen, & Vorschau UP

Udo Schwarz, Zentrum für Dynamik komplexer Systeme,
Universität Potsdam, Campus Golm Karl-Liebknecht-Str. 24, 14476 Potsdam, building 28, room 2.107
Phone: (+49-331) 977-1658, Fax : (+49-331) 977-1045

Email: Udo.Schwarz AT uni-potsdam.de

DFG SFB 1294

DFG Sonderforschungsbereich 1294 Data assimilation

DFG SPP 1488

DFG Schwerpunktprogramm 1488 Planetmag


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