Learning Reduced Order Dynamics via Geometric Representations
Imran Nasim, Melanie Weber
SCML 2024
Alexander and Orbach have recently proposed that the ratio of the fractal dimensionality of the incipient infinite cluster in percolation to the fractual dimensionality of a random walk on the cluster is, independent of the spatial dimensionality of the system. As a consequence, they predict that the electrical conductivity exponent t =0.9479 in two dimensions, where is the correlation-length exponent. Our numerical data, which are obtained from large-lattice finite-size scaling calculations, give a value t =0.973-0.003+0.005, in disagreement with the conjecture by 2.6%. © 1984 The American Physical Society.
Imran Nasim, Melanie Weber
SCML 2024
Michiel Sprik
Journal of Physics Condensed Matter
Sung Ho Kim, Oun-Ho Park, et al.
Small
D.D. Awschalom, J.-M. Halbout
Journal of Magnetism and Magnetic Materials