# Dresden 2006 – wissenschaftliches Programm

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# 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 Baumann^{1,2}, Malte Henkel^{2}, Michel Pleimling^{1}, and Jean Richert^{3} — ^{1}Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, Germany — ^{2}Laboratoire de Physique des Matériaux, Université Henri Poincaré Nancy I, France — ^{3}Laboratoire 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)