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Modified Potential Energy Functions for Constrained Molecular Dynamics (1997)  (Make Corrections)  
Sebastian Reich
Numerical Algorithms



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Abstract: In molecular dynamics the highly oscillatory vibrations in the chemical bonds are often replaced by holonomic constraints that freeze the bond length/angle to its equilibrium value. In some cases this approach can be justified if the force constants of the bond vibrations are sufficiently large. However, for moderate values of the force constant, the constrained system might lead to a dynamical behavior that is too "rigid" compared to the flexible model. To compensate for this effect, the... (Update)

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BibTeX entry:   (Update)

@article{ reich98modified,
    author = "Sebastian Reich",
    title = "Modified potential energy functions for constrained molecular dynamics",
    journal = "Numerical Algorithms",
    volume = "19",
    number = "1--4",
    pages = "213--221",
    year = "1998",
    url = "citeseer.ist.psu.edu/reich97modified.html" }
Citations (may not include all citations):
306   Computer Simulations of Liquids (context) - Allen, Tildesley - 1987
120   CHARMM: A Program for Macromolecular Energy (context) - Brooks, Bruccoleri et al. - 1983
43   the Hamiltonian Interpolation of Near to the Identity Symple.. (context) - Benettin, Giorgilli - 1994
28   Symplectic Numerical Integrators in Constrained Hamiltonian .. - Leimkuhler, Skeel - 1994
22   Motion Under a Strong Constraining Force (context) - Rubin, Ungar - 1957
20   Generalized Verlet Algorithm for Efficient Molecular Dynamic.. (context) - Grubmuller, Heller et al. - 1991
20   Dangers of Multiple-Time-Step Methods (context) - Biesiadecki, Skeel - 1993
19   Thermodynamical Properties of Lennard-Jones Molecules (context) - Verlet, Computer - 1967
15   Smoothed Dynamics of Highly Oscillatory Hamiltonian Systems - Reich - 1995
9   Difficulties with Multiple Timestepping and the Fast Multipo.. (context) - Bishop, Skeel et al. - 1996
9   and Exponentially Small Estimates (context) - Reich - 1997
9   Realization of Holonomic Constraints and Freezing of High Fr.. (context) - Benettin, Galgani et al. - 1989
8   Elastic Molecular Dynamics with flexible Constraints (context) - Brooks, Zhou et al. - 1997
7   Rigid Constraints in Statistical Mechanics (context) - Helfand - 1979
3   Torsion Dynamics of Molecular Systems - Reich - 1996

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