References
- Alder BJ, Wainwright TE. Molecular motions. Sci. Am. 1959;201:113–126.
- Karplus M. Spinach on the ceiling: a theoretical chemist’s return to biology. Annual Rev. Biophys. Biolmol. Struct. 2006;35:1–47.
- Holian BL, Hoover WG, Posch HA. Resolution of Loschmidt’s paradox: the origin of irreversible behavior in reversible atomistic dynamics. Phys. Rev. Lett. 1987;59:10–13.
- Sprott JC. Chaos and time-series analysis. Oxford: Oxford University Press; 2003.
- Hoover WG, Hoover CG. Chaos and control of chaotic nonequilibrium systems. Singapore: World Scientific; 2015.
- Moran B, Hoover WG. Diffusion in a periodic Lorentz gas. J. Stat. Phys. 1987;48:709–726.
- Dettmann CP. Diffusion in the Lorentz gas. Commun. Theor. Phys. 2014;62:521–540. arxiv 1402.7010.
- Posch HA, Hoover WG. Time-reversible dissipative attractors in three and four phase-space dimensions. Phys. Rev. E. 1997;55:6803–6810.
- Evans DJ, Hoover WG, Failor BH, Moran B, Ladd AJC. Nonequilibrium molecular dynamics via Gauss’ Principle of least constraint. Phys. Rev. A. 1983;28:1016–1021.
- Hoover WG, Posch HA. Second-law irreversibility and phase-space dimensionality loss from time-reversible nonequilibrium steady-state Lyapunov spectra. Phys. Rev. E. 1994;49:1913–1920.
- Posch HA, Hoover WG, Vesely FJ. Canonical dynamics of the Nosé oscillator: stability, order, and chaos. Phys. Rev. A. 1986;33:4253–4265.
- Nosé S. A molecular dynamics method for simulations in the canonical ensemble. Mol. Phys. 1984;52:255–268.
- Nosé S. A unified formulation of the constant temperature molecular dynamics methods. J. Chem. Phys. 1984;81:511–519.
- Hoover WG. Mécanique de Nonéquilibre à la Californienne. Physica A [Nonequilibrium molecular dynamics California style]. 1997;240:1–11.
- Dettmann CP, Morriss GP. Hamiltonian reformulation and pairing of Lyapunov exponents for Nosé-Hoover dynamics. Phys. Rev. E. 1997;55:3693–3696.
- Hoover WG. Canonical dynamics: equilibrium phase-space distributions. Phys. Rev. A. 1985;31:1695–1697.
- Benettin G, Galgani L, Strelcyn JM. Kolmogorov entropy and numerical experiments. Phys. Rev. A. 1976;14:2338–2345.
- Hoover WG, Posch HA. Direct measurement of equilibrium and nonequilibrium Lyapunov spectra. Phys. Lett. A. 1987;123:227–230.
- Hoover WG, Holian BL. Kinetic moments method for the canonical ensemble distribution. Phys. Lett. A. 1996;211:253–257.
- Hoover WG, Hoover CG. Ergodicity of the Martyna--Klein--Tuckerman thermostat and the 2014 Ian Snook prize. Comput. Methods Sci. Technol. 2015;21:5–10.
- Kusnezov D, Bulgac A, Bauer W. Canonical ensembles from chaos. Ann. Phys. 1990;204:155–185.
- Ju N, Bulgac A. Finite-temperature properties of sodium cluster. Phys. Rev. B. 1993;48:2721–2732.
- Hoover WG, Hoover CG, Posch HA. Lyapunov instability of pendulums, chains, and strings. Phys. Rev. A. 1990;41:2999–3004.
- Hoover WG, Hoover CG. Time reversibility, computer simulation, algorithms, chaos. Singapore: World Scientific; 2012.
- Sprott JC, Hoover WG, Hoover CG. Heat conduction, and the lack thereof, in time-reversible dynamical systems: generalized Nosé-Hoover oscillators with a temperature gradient. Phys. Rev. E. 2014;89:042914.
- Hoover WG, Hoover CG. Comparison of very smooth cell-model trajectories using five symplectic and two Runge--Kutta integrators. Comput. Methods Sci. Technol. 2015;21:109–116.
- Ramshaw JD. Elements of computational fluid dynamics. London: Imperial College Press; 2011.