An Overview of Lattice-Gas Dynamics

Jeffrey Yepez · 1997

Contents 1 Introduction 2 2 Viscous Multiphase Fluids 7 3 Ways to Simulate a Fluid 10 4 Numerical Round-O# Error 12 5 Molecular Dynamics 13 6 Shrinking Bits 16 7 Lattice Molecular Dynamics 18 8 Artificially Discrete Microworlds 20 9 Classical Lattice Gas 22 10 Lattice-Gas Paradigm 23 11 The CAM-8 Prototype 25 12 Limitations and Drawbacks of Classical Lattice Gases 28 13 Classical Lattice Gases on Quantum Computers 31 14 Quantum Lattice Gases on Classical Computers 33 15 Quantum Lattice Gases on Quantum Computers 34 1 1 Introduction One can argue it is the case that the fundamental nature of the physical world is that it is quantized in such a way that phasespace is granular 1 , and one can observe that digital computation is discrete and granular too. Given these similarities, one might try to see just how far one can go in "connecting" the two. In this regard, Richard Feynman gave a talk entitled "Simulating Physics with Computers"

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