Exact combinatorial density of states for the critical 1D antiferromagnetic Ising model derived via Fibonacci/Lucas sequences, Diophantine equations, and transfer-matrix closed forms for both open and periodic boundaries.
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Classical random walks on finite 2D lattices of varying connectivity show diffusive spreading insensitive to lattice details, with mass fractal dimension 1.50±0.03 and hull dimension 1.37±0.03 that approach Brownian-motion values with increasing steps.
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Exact Combinatorial Density of States for the Critical 1D Ising Model
Exact combinatorial density of states for the critical 1D antiferromagnetic Ising model derived via Fibonacci/Lucas sequences, Diophantine equations, and transfer-matrix closed forms for both open and periodic boundaries.
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Finite-size scaling properties of classical random walk on various two-dimensional lattices
Classical random walks on finite 2D lattices of varying connectivity show diffusive spreading insensitive to lattice details, with mass fractal dimension 1.50±0.03 and hull dimension 1.37±0.03 that approach Brownian-motion values with increasing steps.