Variational approximation in classical lattice systems.

Antoine Gerard Schlijper


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For lattice systems the so-caIled cluster approximations are widely used. Here the behaviour of the whole system is extrapolated from that of one or a few relatively small subsystems (clusters), approximations being made for the influence of the surrounding system. Despite at least thirty years of widespread application the validity of such an extrapolation has never been investigated in general. In this thesis it is shown, among other things, that to guarantee the validity of this approach the chosen cluster has to satisfy an infinite number of conditions. This makes the selection of the proper cluster into what is called an undecidable problem that cannot be solved by computer. ... Zie: Introduction and summary
Originele taal-2English
KwalificatieDoctor of Philosophy
  • Winnink, Marinus, Supervisor
StatusPublished - 1985

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