2017/01/22 by William G. Hoover, Hoover, William Graham, Carol G. Hoover +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1701.06905
The 2016 Snook Prize has been awarded to Diego Tapias, Alessandro Bravetti,\nand David Sanders for their paper -- Ergodicity of One-Dimensional Systems\nCoupled to the Logistic Thermostat. They introduced a relatively stiff\nhyperbolic tangent thermostat force and successfully tested its ability to\nreproduce Gibbs' canonical distribution for the harmonic oscillator, the\nquartic oscillator, and the Mexican Hat potentials. Their work constitutes an\neffective response to the 2016 Ian Snook Prize Award goal -- Finding ergodic\nalgorithms for Gibbs' canonical ensemble using a single thermostat variable. We\nconfirm their work here and highlight an interesting feature of the Mexican Hat\nproblem when it is solved with an adaptive integrator.\n