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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
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).
The resultant approach moves particles "randomly" asccording to some probability and NOT deterministically as in Newton's laws
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.
This can lead to (soluble!) difficulties in parallel algorithms as lack of independence implies that synchronization issues.
Many quantum systems treated just like statistical physics as quantum theory built on probability densities



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