85 citations · 122 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2003★ 9 cited
Generation of spatiotemporal correlated noise in 1+1 dimensions
Arne Traulsen, Karen Lippert, Ulrich Behn
We propose a generalization of the Ornstein-Uhlenbeck process in 1+1 dimensions which is the product of a temporal Ornstein-Uhlenbeck process with a spatial one and has exponential…
cond-mat.stat-mech2001★ 28 cited
Critical Behaviour of Non-Equilibrium Phase Transitions to Magnetically Ordered States
Thomas Birner, Karen Lippert, Reinhard Müller +2
We describe non-equilibrium phase transitions in arrays of dynamical systems with cubic nonlinearity driven by multiplicative Gaussian white noise. Depending on the sign of the spa…
adap-org1997★ 85 cited
First Order Nonequilibrium Phase Transition in a Spatially Extended System
R. Muller, K. Lippert, A. Kuhnel +1
We investigate a system of harmonically coupled identical nonlinear constituents subject to noise in different spatial arrangements. For global coupling we find for infinitely many…