Non-equilibrium critical phenomena and phase transitions into absorbing states
H Hinrichsen - Advances in physics, 2000 - Taylor & Francis
This review addresses recent developments in non-equilibrium statistical physics. Focusing
on phase transitions from fluctuating phases into absorbing states, the universality class of …
on phase transitions from fluctuating phases into absorbing states, the universality class of …
Lyapunov exponents in random Boolean networks
A new order parameter approximation to random boolean networks (RBN) is introduced,
based on the concept of Boolean derivative. A statistical argument involving an annealed …
based on the concept of Boolean derivative. A statistical argument involving an annealed …
A comprehensive taxonomy of cellular automata
Cellular automata (CAs) are fully-discrete dynamical models that have received much
attention due to the fact that their relatively simple setup can nonetheless express highly …
attention due to the fact that their relatively simple setup can nonetheless express highly …
Percolation and internet science
Percolation, in its most general interpretation, refers to the “flow” of something (a physical
agent, data or information) in a network, possibly accompanied by some nonlinear …
agent, data or information) in a network, possibly accompanied by some nonlinear …
Nature of phase transitions in a probabilistic cellular automaton with two absorbing states
We present a probabilistic cellular automaton with two absorbing states, which can be
considered a natural extension of the Domany-Kinzel model. Despite its simplicity, it shows …
considered a natural extension of the Domany-Kinzel model. Despite its simplicity, it shows …
Damage spreading and the Lyapunov spectrum of cellular automata and Boolean networks
The study of damage spreading in cellular automata (CA) is essential for understanding
chaos and phase transitions in CA and complex systems in general. It helps us make sense …
chaos and phase transitions in CA and complex systems in general. It helps us make sense …
Metastable states in spin glasses and disordered ferromagnets
CM Newman, DL Stein - Physical Review E, 1999 - APS
We study analytically M-spin-flip stable states in disordered short-ranged Ising models (spin
glasses and ferromagnets) in all dimensions and for all M. Our approach is primarily …
glasses and ferromagnets) in all dimensions and for all M. Our approach is primarily …
Equilibrium pure states and nonequilibrium chaos
CM Newman, DL Stein - Journal of statistical physics, 1999 - Springer
We consider nonequilibrium systems such as the Edwards–Anderson Ising spin glass at a
temperature where, in equilibrium, there are presumed to be (two or many) broken-symmetry …
temperature where, in equilibrium, there are presumed to be (two or many) broken-symmetry …
A self-organized method for computing the epidemic threshold in computer networks
In many cases, tainted information in a computer network can spread in a way similar to an
epidemics in the human world. On the other had, information processing paths are often …
epidemics in the human world. On the other had, information processing paths are often …
Algorithmic map** from criticality to self-organized criticality
Probabilistic cellular automata are prototypes of nonequilibrium critical phenomena. This
class of models includes among others the directed percolation problem (Domany-Kinzel …
class of models includes among others the directed percolation problem (Domany-Kinzel …