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Related Experiment Videos

A near linear-scaling smooth local coupled cluster algorithm for electronic structure.

Joseph E Subotnik1, Alex Sodt, Martin Head-Gordon

  • 1Biophysics Program, University of California, Berkeley, California 94720, USA. subotnik@post.harvard.edu

The Journal of Chemical Physics
|September 1, 2006
PubMed
Summary

A new algorithm for calculating quantum mechanical system energies shows near linear scaling. This method, using local coupled-cluster singles-doubles (LCCSD), provides computational savings and smooth potential energy surfaces.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Method Development

Background:

  • Coupled-cluster singles-doubles (CCSD) methods are accurate but computationally expensive.
  • Local correlation methods aim to reduce the computational cost of CCSD.
  • Smooth potential energy surfaces are crucial for accurate molecular dynamics simulations.

Purpose of the Study:

  • To develop and demonstrate a new algorithm for computing local coupled-cluster singles-doubles (LCCSD) correlation energies.
  • To achieve near linear scaling computational complexity for LCCSD calculations.
  • To validate the practical application of the LCCSD approach for generating smooth potential energy surfaces and achieving computational savings.

Main Methods:

  • The algorithm modifies standard iterative amplitude equations by multiplying with a bump function.

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  • This creates local amplitude equations that are smooth according to the implicit function theorem.
  • The LCCSD approach is applied to calculate the post-MP2 correction to the energetic gap of alanine tetrapeptide conformations.

    • Main Results:

    • The algorithm demonstrates near linear scaling for LCCSD correlation energy calculations.
    • The developed LCCSD approach results in smooth potential energy surfaces.
    • Significant computational savings were achieved compared to traditional methods.
    • The method was successfully applied to a relevant chemical system (alanine tetrapeptide).

    Conclusions:

    • The new algorithm provides an efficient and accurate method for LCCSD calculations.
    • The LCCSD approach offers a practical solution for obtaining smooth potential energy surfaces.
    • This work demonstrates the potential for large computational savings in quantum mechanical system energy calculations.