Thermostated Hamiltonian dynamics with log-oscillators

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.

7 pages, 3 figures

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Fundamental Aspects of Quantum Brownian Motion
• Logarithmic oscillators: ideal Hamiltonian thermostats
• Comment on "Logarithmic Oscillators: Ideal Hamiltonian Thermostats" [arXiv 1203.5968]

Cited by in corpus (4)

• A derivation of a microscopic entropy and time irreversibility from the discreteness of time
• Failure of Logarithmic Oscillators to Thermostat Small Atomic Clusters
• Violation of the virial theorem and generalized equipartition theorem for logarithmic oscillators serving as a thermostat
• Thermodynamic laws in isolated systems