Thermostated Hamiltonian dynamics with log-oscillators

TL;DR

This paper introduces two novel Hamiltonian-based thermostats utilizing log-oscillators, suitable for small systems, and demonstrates their effectiveness through illustrative examples.

Contribution

The work presents new Hamiltonian thermostats based on log-oscillators, expanding the tools for simulating thermodynamics in small systems.

Findings

Two new Hamiltonian thermostats are proposed.

The methods are effective for systems with few degrees of freedom.

Illustrative examples demonstrate the thermostats' functionality.

Abstract

With this work we present two new methods for the generation of thermostated, manifestly Hamiltonian dynamics and provide corresponding illustrations. The basis for this new class of thermostats are the peculiar thermodynamics as exhibited by logarithmic oscillators. These two schemes are best suited when applied to systems with a small number of degrees of freedom.