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Foil 7 Statistical Physics and Comparison of Monte Carlo and Particle Dynamics

From CPS615-Physical Simulation Techniques and Structure of CFD Equations Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 14 November 96. by Geoffrey C. Fox *
Secs 145.4
1 Large systems reach equilibrium and ensemble properties (temperature, pressure, specific heat, ...) can be found statistically. This is essentially law of large numbers (central limit theorem).
2 The resultant approach moves particles "randomly" asccording to some probability and NOT deterministically as in Newton's laws
3 Many properties of particle systems can be calculated either by Monte Carlo or by Particle Dynamics. Monte Carlo is harder as cannot evolve particles independently.
4 This can lead to (soluble!) difficulties in parallel algorithms as lack of independence implies that synchronization issues.
5 Many quantum systems treated just like statistical physics as quantum theory built on probability densities

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