Eur. Phys. J. B 51, 407-411 (2006)
https://doi.org/10.1140/epjb/e2006-00244-4

Stochastic simulations on the cellular wave computers

¹ Pázmány Péter Catholic University, Department of Information Technology, HU-1083 Budapest, Hungary
² Babeş-Bolyai University, Department of Physics, 400084 Cluj, Romania
³ Los Alamos National Laboratory, Center for Nonlinear Sciences, Los Alamos, NM, 87545, USA

Corresponding author: ^a zneda@phys.ubbcluj.ro

Received: 23 March 2006
Published online: 21 June 2006

Abstract

The computational paradigm represented by Cellular Neural/nonlinear Networks (CNN) and the CNN Universal Machine (CNN-UM) as a Cellular Wave Computer, gives new perspectives for computational physics. Many numerical problems and simulations can be elegantly addressed on this fully parallelized and analogic architecture. Here we study the possibility of performing stochastic simulations on this chip. First a realistic random number generator is implemented on the CNN-UM, and then as an example the two-dimensional Ising model is studied by Monte Carlo type simulations. The results obtained on an experimental version of the CNN-UM with 128 ×128 cells are in good agreement with the results obtained on digital computers. Computational time measurements suggest that the developing trend of the CNN-UM chips — increasing the lattice size and the number of local logic memories — will assure an important advantage for the CNN-UM in the near future.