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Foil 11 Case Study I) Topics -- Computational Issues in the Metropolis Approach

From Master set for Overview of Case Studies of Computational Science CPSP713 Master for Overview -- Autumn Semester 1994. by Geoffrey C. Fox * See also color IMAGE

C: Tricks of the trade: Computational Issues
  • C: Thermalization (are we in equilibrium?)
  • C: Ergodicity (does our method (eventually) visit all points in space to be integrated over?)
  • A: Finding critical exponents (characterizing (divergent) behavior of measurements near critical points)
  • A: Finite Size effects ( Simulated system must be much much smaller than world being modelled)
  • A: Boundary Conditions ( What to do at edge of simulated system)
  • T: Pseudo-Random Numbers (to be discussed in detail later and in CPS615)
  • C: Acceptance ratio -- trade-off between safe small changes which don't change state very fast versus large changes which may be rejected as fall off "ridge" of large value of integrand.
  • A: Critical Slowing Down -- present in nature and simulation



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