期刊名称：Computational Methods in Science and Technology
印刷版ISSN：1505-0602
出版年度：2017
卷号：23
期号：1
页码：5-8
DOI：10.12921/cmst.2017.0000005
出版社：Poznan Supercomputing and Networking Center
摘要：The 2016 Snook Prize has been awarded to Diego Tapias, Alessandro Bravetti, and David Sanders for their paper “Ergodicity of One-Dimensional Systems Coupled to the Logistic Thermostat”. They introduced a relatively-stiff hyperbolic tangent thermostat force and successfully tested its ability to reproduce Gibbs’ canonical distribution for three one-dimensional problems, the harmonic oscillator, the quartic oscillator, and the Mexican Hat potentials: {(q2 /2); (q 4 /4); (q 4 /4) − (q 2 /2)}. Their work constitutes an effective response to the 2016 Ian Snook Prize Award goal, “finding ergodic algorithms for Gibbs’ canonical ensemble using a single thermostat”. We confirm their work here and highlight an interesting feature of the Mexican Hat problem when it is solved with an adaptive integrator.
其他关键词：ergodicity, chaos, algorithms, dynamical systems
