Logarithmic oscillators: ideal Hamiltonian thermostats
arXiv:1203.5968 · doi:10.1103/PhysRevLett.108.250601
Abstract
A logarithmic oscillator (in short, log-oscillator) behaves like an ideal thermostat because of its infinite heat capacity: when it weakly couples to another system, time averages of the system observables agree with ensemble averages from a Gibbs distribution with a temperature T that is given by the strength of the logarithmic potential. The resulting equations of motion are Hamiltonian and may be implemented not only in a computer but also with real-world experiments, e.g., with cold atoms.
5 pages, 3 figures. v4: version accepted in Phys. Rev. Lett
References in corpus (10)
- Many-Body Physics with Ultracold Gases
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Hamiltonian reformulation and pairing of Lyapunov exponents for Nose-Hoover dynamics
- Solution of the Fokker-Planck equation with a logarithmic potential
- Approach to equilibrium of diffusion in a logarithmic potential
- Fluctuations of time averages for Langevin dynamics in a binding force field
- Long-range attraction between probe particles mediated by a driven fluid
- Diffusion in a logarithmic potential: scaling and selection in the approach to equilibrium
- Global Dynamics in the Singular Logarithmic Potential
Cited by in corpus (12)
- From the area under the Bessel excursion to anomalous diffusion of cold atoms
- From Non-normalizable Boltzmann-Gibbs statistics to infinite-ergodic theory
- Hamiltonian Thermostats Fail to Promote Heat Flow
- Thermostated Hamiltonian dynamics with log-oscillators
- On the origin of power-laws in equilibrium
- Comment on "Logarithmic Oscillators: Ideal Hamiltonian Thermostats" [arXiv 1203.5968]
- Failure of Logarithmic Oscillators to Thermostat Small Atomic Clusters
- Microcanonical Szilárd engines beyond the quasistatic regime
- Violation of the virial theorem and generalized equipartition theorem for logarithmic oscillators serving as a thermostat
- Heat fluctuations in the logarithm-harmonic potential
- Thermodynamic laws in isolated systems
- Hamiltonian Dynamics with Non-Newtonian Momentum for Rapid Sampling