Dresden 2006 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
DY: Dynamik und Statistische Physik
DY 14: Statistical Physics far from Thermal Eqilibrium
DY 14.3: Vortrag
Montag, 27. März 2006, 15:15–15:30, H\"UL 186
Ageing without detailed balance: The bosonic contact and pair-contact processes — •Florian Baumann1,2, Malte Henkel2, Michel Pleimling1, and Jean Richert3 — 1Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, Germany — 2Laboratoire de Physique des Matériaux, Université Henri Poincaré Nancy I, France — 3Laboratoire de Physique Théorique, Université Louis Pasteur Strasbourg I, France
Ageing phenomena and scaling behaviour have been considered in many systems with detailed balance such as simple magnetic systems. Therefore it is an interesting question to extend these studies to systems without detailed balance, paradigmatic examples of which are reaction-diffusion systems. In these systems particles undergo diffusion on a lattice and in addition particle creation and annihilation occurs. In recent numerical investigations of a specific system of this type, dynamical scaling behaviour was found, and it turned out that an equality between two critical exponents, known from systems with detailed balance, does not hold true any more.
In order to shed more light on this, we look at two exactly solvable systems without detailed balance: The bosonic contact and pair-contact processes. Two-time quantities are computed in the scaling limit and ageing exponents and scaling function are determined. In particular we confirm the result that two mentioned critical exponents can indeed be different from each other.
[1] F. Baumann, M. Henkel, M. Pleimling, and J. Richert, J. Phys. A: Math. Gen. 38, 6623 (2005)