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arXiv · 1801.09899

Time-Irreversibility is Hidden Within Newtonian Mechanics

William Graham Hoover·Carol Griswold Hoover
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Abstract

We develop a bit-reversible implementation of Milne's Fourth-order Predictor algorithm so as to generate precisely time-reversible simulations of irreversible processes. We apply our algorithm to the collision of two zero-temperature Morse-potential balls, which collide to form a warm liquid oscillating drop. The oscillations are driven by surface tension and damped by the viscosities. We characterize the "important" Lyapunov-unstable particles during the collision and equilibration phases in both time directions to demonstrate the utility of the Milne algorithm in exposing "Time's Arrow".

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BibTeXRIS

William Graham Hoover, Carol Griswold Hoover. 2018-01-30. Time-Irreversibility is Hidden Within Newtonian Mechanics. https://doi.org/10.1080/00268976.2018.1453096

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