Wm. G. Hoover, Carol G. Hoover
Nearly all the evolution equations of physics are time-reversible, in the sense that a movie of the solution, played backwards, would obey exactly the same differential equations as the original forward solution. By way of contrast, stochastic approaches are typically not time-reversible, though they could be made so by the simple expedient of storing their underlying pseudorandom numbers in an array. Here we illustrate the notion of time-reversible random number generators and offer a suitable reward for the first arXiv response furnishing a reversed version of an only slightly-more-complicated pseudorandom number generator.
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http://arxiv.org/abs/1305.0961
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