2020/10/12 by Quan M. Nguyen, Nguyen, Quan M., Linh K. Nguyen +10
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical Physics (physics.class-ph) #FOS: Physical sciences #Physics Education (physics.ed-ph) #Quantum Mechanics and Applications #Quantum and electron transport phenomena #physics.class-ph #physics.ed-ph
paper · pdf · doi:10.48550/arxiv.2010.05645
openalex publication_date 2020/10/12 · arxiv created 2020/10/13 · arxiv updated 2020/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The infinite AC ladder network can exhibit unexpected behavior. Entangling the topology brings even more surprises, found by direct numerical investigation. We consider a simple modification of the ladder topology and explain the numerical result for the complex impedance, using linear algebra. The infinity limit of the network's size corresponds to keeping only the eigenvectors of the transmission matrix with the largest eigenvalues, which can be viewed as the most dominant modes of electrical information that propagate through the network.