journal article Open Access Jul 15, 1994

Integrating the Car–Parrinello equations. I. Basic integration techniques

Abstract
In this paper and in a companion paper [M. E. Tuckerman and M. Parrinello, J. Chem. Phys. 101, 1316 (1994)] the problem of integrating the equations of motion in Car–Parrinello simulations is addressed. In this paper, new techniques for treating the constraint problem based on the velocity Verlet integrator and the Gaussian dynamics are presented. Questions of adiabaticity and temperature control are discussed, and it is shown how to combine the new techniques with the recently developed Nosé–Hoover chain thermostat method. All new techniques are described using the formalism of operator factorizations applied to the classical Liouville propagator. In the companion paper, the formalism and application of multiple time scale methodology in Car–Parrinello simulations are discussed.
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References
31
[1]
Unified Approach for Molecular Dynamics and Density-Functional Theory

R. Car, M. Parrinello

Physical Review Letters 1985 10.1103/physrevlett.55.2471
[2]
J. Chem. Phys. (1994) 10.1063/1.467824
[3]
Phys. Rev. A (1991) 10.1103/physreva.44.6334
[4]
[6]
[7]
Reversible multiple time scale molecular dynamics

M. Tuckerman, B. J. Berne, G. J. Martyna

The Journal of Chemical Physics 1992 10.1063/1.463137
[8]
Rattle: A “velocity” version of the shake algorithm for molecular dynamics calculations

Hans C Andersen

Journal of Computational Physics 1983 10.1016/0021-9991(83)90014-1
[9]
Nosé–Hoover chains: The canonical ensemble via continuous dynamics

Glenn J. Martyna, Michael L. Klein, Mark Tuckerman

The Journal of Chemical Physics 1992 10.1063/1.463940
[10]
J. Reine Angew. Math. (1829)
[11]
Comput. Phys. Rep. (1984) 10.1016/0167-7977(84)90001-7
[12]
J. Chem. Phys. (1986) 10.1063/1.450613
[13]
[14]
Phys. Rev. (1939) 10.1103/physrev.56.340
[15]
Phys. Rev. B (1982) 10.1103/physrevb.26.4199
[16]
Phys. Rev. Lett. (1982) 10.1103/physrevlett.48.1425
[17]
[18]
J. Chem. Phys. (1991)
[19]
Phys. Rev. B (1992) 10.1103/physrevb.45.9413
[20]
J. Chem. Phys. (1993) 10.1063/1.464829
[21]
[22]
Phys. Rev. E (1993)
[23]
Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes

Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J.C Berendsen

Journal of Computational Physics 1977 10.1016/0021-9991(77)90098-5
[24]
A unified formulation of the constant temperature molecular dynamics methods

Shūichi Nosé

The Journal of Chemical Physics 1984 10.1063/1.447334
[25]
A molecular dynamics method for simulations in the canonical ensemble

Shūichi Nosé

Molecular Physics 1984 10.1080/00268978400101201
[26]
Canonical dynamics: Equilibrium phase-space distributions

William G. Hoover

Physical Review A 1985 10.1103/physreva.31.1695
[27]
Phys. Lett. A (1990) 10.1016/0375-9601(90)90092-3
[28]
J. Math. Phys. (1991) 10.1063/1.529425
[29]
[30]
Proc. Am. Math Soc. (1959) 10.1090/s0002-9939-1959-0108732-6
[31]
Mol. Phys. (1990) 10.1080/00268979000101451
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The Journal of Chemical Physics
Metrics
160
Citations
31
References
Details
Published
Jul 15, 1994
Vol/Issue
101(2)
Pages
1302-1315
Cite This Article
Mark E. Tuckerman, Michele Parrinello (1994). Integrating the Car–Parrinello equations. I. Basic integration techniques. The Journal of Chemical Physics, 101(2), 1302-1315. https://doi.org/10.1063/1.467823
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