Abstract

The Born-Oppenheimer approximation divides the problem of quantum molecular dynamics into two familiar problems: (1) solution for the electronic wave functions for a given instantaneous arrangement of ions and (2) the motion of the atomic cores under the influence of those wave functions. A combination of conjugate-gradient methods to solve (1) with standard molecular dynamics to solve (2) results in a scheme that is at least two orders of magnitude more accurate than previously possible, thus allowing accurate calculation of dynamic correlation functions while maintaining tolerable energy conservation for microcanonical averages of those correlation functions over picosecond time scales. By employing conjugate-gradient techniques, this method is used to extend the applicability of finite-temperature ab initio techniques to systems with large length scales.

Keywords

Conjugate gradient methodMolecular dynamicsStatistical physicsAb initioPicosecondPhysicsScale (ratio)Wave functionBorn–Oppenheimer approximationLength scaleComputational physicsClassical mechanicsQuantum mechanicsComputer scienceAlgorithmMolecule

Affiliated Institutions

Related Publications

Exchange and correlation energy in density functional theory: Comparison of accurate density functional theory quantities with traditional Hartree–Fock based ones and generalized gradient approximations for the molecules Li2, N2, F2

The density functional definition of exchange and correlation differs from the traditional one. In order to calculate the density functional theory (DFT), quantities accurately,...

1997 The Journal of Chemical Physics 209 citations

Publication Info

Year
1992
Type
article
Volume
45
Issue
4
Pages
1538-1549
Citations
134
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

134
OpenAlex

Cite This

T. A. Arias, M. C. Payne, J. D. Joannopoulos (1992). <i>Ab initio</i>molecular-dynamics techniques extended to large-length-scale systems. Physical review. B, Condensed matter , 45 (4) , 1538-1549. https://doi.org/10.1103/physrevb.45.1538

Identifiers

DOI
10.1103/physrevb.45.1538