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Content archived on 2022-12-23

Simulational physics: construction of a special purpose computer and applications

Exploitable results

The aim of this project is to undertake large-scale Monte-Carlo(MC) simulations using various types of computing equipment, including special purpose computers designed and constructed at Moscow, and Delft as well as large-scale computer facilities in Jülich and Delft. The results obtained were as follows: -First numerical tests on analytically predicted finite-size scaling functions; significantly improved accuracy of previous estimates, based on different methods, for bulk critical properties, including corrections to scaling; quantitative analyses on the role of long range interactions on critical properties. -Further evidence whether the type and/or degree of disorder is relevant for the behaviour close to the phase transition; elucidation of the relevance of finite-size effects on the specific heat; connection with percolation theory and surface phenomena. -Design of a new architecture for a cluster SPC leading to increased efficiency of SPCs with further improvements on the performance/ 'real cost' ratio, by reducing manual labour. The fabrication of the cluster SPC is near completion. -Implementation of an efficient and reliable simulation algorithms in the cluster SPC. -Principal and practical criteria for judging the quality of random number generators in random-walk problems and simulations of Ising magnets. -Microscopic foundation of a much-studied lattice gas model for YBCO; identification of microscopic mechanisms (highly co-ordinated interlayer couplings between magnetic ions and competing ferromagnetic and antiferromagnetic intralayer couplings) leading to anomalies in metamagnets; influence on imperfections on surface magnetism.

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