5 papers
Dynamic rewiring in small world networks
J. P. L. Hatchett, N. S. Skantzos, T. Nikoletopoulos
We investigate equilibrium properties of small world networks, in which both connectivity and spin variables are dynamic, using replicated transfer matrices within the replica symm…
Finitely connected vector spin systems with random matrix interactions
A. Coolen, N. S. Skantzos, I. Perez Castillo +4
We use finite connectivity equilibrium replica theory to solve models of finitely connected unit-length vectorial spins, with random pair-interactions which are of the orthogonal m…
Diagonalization of replicated transfer matrices for disordered Ising spin systems
T. Nikoletopoulos, A. C. C. Coolen
We present an alternative procedure for solving the eigenvalue problem of replicated transfer matrices describing disordered spin systems with (random) 1D nearest neighbor bonds an…
Parallel dynamics of disordered Ising spin systems on finitely connected random graphs
J. P. L. Hatchett, B. Wemmenhove, I. Perez Castillo +3
We study the dynamics of bond-disordered Ising spin systems on random graphs with finite connectivity, using generating functional analysis. Rather than disorder-averaged correlati…
Replicated Transfer Matrix Analysis of Ising Spin Models on `Small World' Lattices
T. Nikoletopoulos, A. C. C. Coolen, I. Perez-Castillo +3
We calculate equilibrium solutions for Ising spin models on `small world' lattices, which are constructed by super-imposing random and sparse Poissonian graphs with finite average…