Dynamic principle for ensemble control tools
Data Analysis, Statistics and Probability
2018-01-17 v3
Abstract
Dynamical equations describing physical systems at statistical equilibrium are commonly extended by mathematical tools called "thermostats". These tools are designed for sampling ensembles of statistical mechanics. We propose a dynamic principle for derivation of stochastic and deterministic thermostats. It is based on fundamental physical assumptions such that the canonical measure is invariant for the thermostat dynamics. This is a clear advantage over a range of recently proposed and widely discussed in the literature mathematical thermostat schemes. Following justification of the proposed principle we show its generality and usefulness for modeling a wide range of natural systems.
Cite
@article{arxiv.1702.08399,
title = {Dynamic principle for ensemble control tools},
author = {A. Samoletov and B. Vasiev},
journal= {arXiv preprint arXiv:1702.08399},
year = {2018}
}