Computational Physics: Selected Methods Simple Exercises by Dietrich Stauffer (auth.), Professor Dr. Karl Heinz

By Dietrich Stauffer (auth.), Professor Dr. Karl Heinz Hoffmann, Professor Dr. Michael Schreiber (eds.)

"Computational Physics. chosen equipment, easy workouts, critical purposes" is an summary written by way of prime researchers of quite a few fields and advancements. "Selected tools" introduce the reader to present fields, together with molecular dynamics, hybrid Monte-Carlo algorithms, and neural networks. "Simple routines" supply hands-on suggestion for potent application ideas from a small variety of traces to demonstration courses with problematic snap shots. "Serious functions" exhibit how questions referring to, for instance, getting older, many-minima optimisation, or part transitions could be handled by means of acceptable instruments. The resource code and demonstration images are integrated on a 3.5" MS-DOS diskette. The diskette: textual content folgt (Stand: 27.03.1996)

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A bond between like spins is only "active" with probability p = 1- exp(-2,B). Only at zero temperature ((3 --+ 00) do stochastic and geometric clusters coincide 22 WolfhardJanke Wang (SW) or multiple-cluster update [60]. The distinguishing point is that the whole lattice is decomposed into stochastic clusters whose spins are assigned a random value +1 or -1. In one sweep one thus attempts to update all spins of the lattice. Wolff Cluster. Shortly after the original discovery of cluster algorithms, Wolff [61] proposed a somewhat simpler variant in which only a single cluster is flipped at a time.

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As for the 3D Ising and 3D XY Monte Carlo Simulations of Spin Systems 31 model critical slowing down is thus almost completely eliminated. Compared to the Metropolis algorithms this implies for a 80 3 lattice an acceleration of the simulation by about four orders of magnitude. In the paper by Holm and Janke [77] two sets of MC simulations are reported. 99f3c, with typically about 105 (almost uncorrelated) measurements. The correlation length varies in this f3 range from ~ ~ 3 to ~ ~ 12 (see Fig.

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