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Exact solution of a reaction-diffusion process with three-site interactions
Malte Henkel, Haye Hinrichsen
The one-dimensional reaction diffusion process AA->A and A0A->AAA is exactly solvable through the empty interval method if the diffusion rate equals the coagulation rate. Independe…
First order phase transition with a logarithmic singularity in a model with absorbing states
Haye Hinrichsen
Recently, Lipowski [cond-mat/0002378] investigated a stochastic lattice model which exhibits a discontinuous transition from an active phase into infinitely many absorbing states.…
First-order transitions in fluctuating 1+1-dimensional nonequilibrium systems
Haye Hinrichsen
We demonstrate that first-order phase transitions in 1+1-dimensional nonequilibrium systems with fluctuating ordered phases are impossible, provided that there are no additional co…
Cyclically coupled spreading and pair annihilation
Haye Hinrichsen
Recently it has been shown that the transition of the 1+1-dimensional annihilation-fission process 2X->3X, 2X->0 exhibits an unusual type of nonequilibrium critical behavior. The p…
Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
Haye Hinrichsen
Recently Carlon et. al. investigated the critical behavior of the pair contact process with diffusion [cond-mat/9912347]. Using density matrix renormalization group methods, they e…
Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
Haye Hinrichsen
This review addresses recent developments in nonequilibrium statistical physics. Focusing on phase transitions from fluctuating phases into absorbing states, the universality class…