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.
Hinrichsen, Non-equilibrium critical phenomena and phase transitions into absorbing states, Advances in Physics49, 815 (2000)
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Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.
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.
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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.
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Universal Design and Physical Applications of Non-Uniform Cellular Automata on Translationally Invariant Lattices
Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.
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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.
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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.
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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.