A higher-order non-uniform cellular automata algorithm is introduced for translationally invariant Euclidean and hyperbolic lattices, demonstrated on the {5,4} lattice to generate subsystem symmetry-protected topological states and simulate directed percolation.
Hinrichsen, Non-equilibrium critical phenomena and phase transitions into absorbing states, Advances in Physics49, 815 (2000)
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
citation-role summary
background 2
citation-polarity summary
verdicts
UNVERDICTED 5roles
background 2polarities
background 2representative citing papers
Numerical study of (1+1)D interfaces in (2+1)D APT models of DP and CDP classes reveals universal crossover to KPZ fluctuations with cumulant collapse after rescaling by APT scales, and model-independent KPZ parameters.
Time-averaged observables exhibit kink or higher-order derivative singularities at supercritical Hopf bifurcations because phase averaging eliminates odd powers of the limit-cycle amplitude while the squared amplitude varies smoothly.
In 2D bootstrap percolation, increasing the activation threshold produces a geometric crossover in which bulk and boundary observables decouple into distinct scales and boundary organization becomes dominant.
Parametrized isometric tensor networks called skeletons deform abelian string-net fixed points via symmetry conservation and isometry constraints, connecting topological phases through critical points and enabling efficient classical computation of generalized Pauli string expectations.
citing papers explorer
-
Universal Design and Physical Applications of Non-Uniform Cellular Automata on Translationally Invariant Lattices
A higher-order non-uniform cellular automata algorithm is introduced for translationally invariant Euclidean and hyperbolic lattices, demonstrated on the {5,4} lattice to generate subsystem symmetry-protected topological states and simulate directed percolation.
-
Universal interface fluctuations in absorbing-state phase transitions
Numerical study of (1+1)D interfaces in (2+1)D APT models of DP and CDP classes reveals universal crossover to KPZ fluctuations with cumulant collapse after rescaling by APT scales, and model-independent KPZ parameters.
-
Singular Behavior of Observables at Hopf Bifurcations
Time-averaged observables exhibit kink or higher-order derivative singularities at supercritical Hopf bifurcations because phase averaging eliminates odd powers of the limit-cycle amplitude while the squared amplitude varies smoothly.
-
Threshold-Controlled Geometric Reorganization in 2D Bootstrap Percolation
In 2D bootstrap percolation, increasing the activation threshold produces a geometric crossover in which bulk and boundary observables decouple into distinct scales and boundary organization becomes dominant.
-
Skeleton of isometric Tensor Network States for Abelian String-Net Models
Parametrized isometric tensor networks called skeletons deform abelian string-net fixed points via symmetry conservation and isometry constraints, connecting topological phases through critical points and enabling efficient classical computation of generalized Pauli string expectations.