2017/02/28 by A. Samoletov, B. Vasiev
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Dynamical system (definition) #Dynamical systems theory #Generality #Limit (mathematics) #Physical system #Range (aeronautics) #Sampling (signal processing) #Statistical Mechanics and Entropy #Thermostat #physics.data-an #stochastic dynamics and bifurcation
paper · pdf · doi:10.1063/1.4993976
openalex created_date 2017/03/16 · arxiv created 2017/10/15 · openalex publication_date 2017/11/28 · arxiv updated 2018/01/17 · openalex updated_date 2026/08/05
Dynamical equations describing physical systems in contact with a thermal bath are commonly extended by mathematical tools called "thermostats." These tools are designed for sampling ensembles in statistical mechanics. Here we propose a dynamic principle underlying a range of thermostats which is derived using fundamental laws of statistical physics and ensures invariance of the canonical measure. The principle covers both stochastic and deterministic thermostat schemes. Our method has a clear advantage over a range of proposed and widely used thermostat schemes that are based on formal mathematical reasoning. Following the derivation of the proposed principle, we show its generality and illustrate its applications including design of temperature control tools that differ from the Nosé-Hoover-Langevin scheme.